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Test types & their strategies.

So much of effective test-taking stems from how you prepare for the test. You want to study so that you know the content inside and out, forwards and backwards, etc., and then be able to take what you know and apply it to unfamiliar scenarios/problems/questions. Then, you want to take this learning you've done, and use it to prepare for the type of test you're going to have: you'll prepare and practice the content differently for an essay test than you will for a multiple choice test or a problem-solving test.

Once you've engaged in this multi-level preparation, it can be helpful to have test-taking strategies that are specific to the types of questions you'll be asked. Read on for strategies you can use in multiple choice tests, essay question tests, and problem solving tests, too.

  MULTIPLE CHOICE TESTS       

Multiple choice tests can feel tricky sometimes. Because they're designed to make sure you know the information, these tests often include more than just recognition, vocabulary, and knowledge-level questions; they often require you to compute, to apply concepts to new situations, and to think critically about what you've learned in the course. You have to know the course material backwards and forwards, and be able to take what may seem like unfamiliar material on the test and apply what you've learned to that point in order to deduce your answer.

So yes, the way that you practice what you've learned and how you prepare for the test will matter. But there are also techniques and strategies for taking multiple choice tests that can help you in the moment, too:

On your first pass through the test, don't guess on questions. Answer the questions you know, and mark the ones you don't know or are unsure of so that you can revisit them later. If, on a second visit to the question, you’re still unsure of the answer, try out some problem-solving strategies:

  • Critically read the question . Underline key concept words as well as absolute words like "never," "all," and "always."
  • Try to answer the question without looking at the answers . Seeing if you already know or can calculate the answer without seeing choices can help you reduce confusion over similar answers.
  • Read and consider all of the answers . You need to select the BEST answer, even though there may be more than one good answer (Van Blerkom, 2010). Try to select the answer that is more true than the other answers.  
  • Narrow down distracting answers . When you're unsure of an answer, eliminate answers you know are incorrect so that you're choosing from a shorter list of possible answers.
  • Look for clues in other questions . At times, tests include clues or bits of information that jog your memory, and these may show up in other questions or portions. Use these clues to help you answer the question you are unsure of.

If you still have no idea what the answer to the question is, you can try some strategic guessing. Please note: the following guessing strategies aren't meant to be used if you already know the answer, or if you can make an educated guess!

  • Try to spot decoys or distractors . Rule out any answers that don't make sense given common sense or the scope of course content.  
  • Beware of the “all of the above” answer . If one possible answer doesn’t apply, don’t choose “all of the above;" however, if 2 or more answers are correct, chances are that "all of the above" is correct.
  • Consider the length of the answers . Often times the correct choice is the longer one that includes the most information.
  • Beware of two similar answers . Test-makers may use two similar choices to confuse you. If you’re going to guess, pick one of the two.
  • Take a guess . Cross out the answers you know are wrong, then make your best educated guess between the remaining possibilities. Some instructors randomize answer options, so looking for patterns in the answers is a waste of your test time and can lead you astray.
  • Answer every question . Even if you're guessing, be sure to choose an answer. If you've marked questions to return to, get back to them when you've answered the questions you're certain of and choose from the above strategies to select your best answer.

    ESSAY TESTS/QUESTIONS    

  • Spend time writing out answers to questions : What's your process? How long does it take you? Where do you get stuck?
  • Create questions you think might be on the test : Practice your outlining/brainstorming/essay forming, and consider how much time you'll have to work on such a question on test day
  • Consider your supporting content : Know what articles/theories/researchers/writers/etc. that you might use to support your answer. You might want to use content from lecture discussions or online posts. Be sure you know what's expected of you in terms of citations!
  • Practice making connections : How is the course material linked, or how is it building on ideas? How might you create opposing arguments, or write a critical analysis of text you've covered, or... (and again: all in the time that you're allotted for the test)

When you step into the test, think about how you might engage in the following strategies as you work to complete your essay question answers:

During the exam:

  • Create a schedule for yourself . If six questions are to be answered in sixty minutes, allow yourself seven minutes each (assuming questions are equally weighted). When the time is up, move to the next question. After you've finished all six of the 7-minute sessions, take the time that remains (it's not a lot, but can be used effectively) to finish any answers you weren't able to in the moment. If it comes to it, and you're close to the end of your time, leaving an outline of what you planned to do/compare/critique/conclude can help your instructor have an idea of your next steps, and may provide you with partial credit (something you can ask about before the exam).
  • Before you start working on the exam, read through all of the questions . Jot down whatever comes to mind when you read the prompts, and dump any dates or names or articles that you don't want to forget. Doing this up front can free up your head to focus completely on the question at hand. And, this strategy can help to reduce anxiety by reminding you how much you know.
  • Be sure you understand the question . Before you write your answer, be sure you understand what's being asked. If it isn't clear, and/or you're not sure, ask for clarification. Underline key wording of the question (i.e., “name three” or “compare and contrast”) to be sure you’re answering the question completely.
  • Outline the answer before you begin writing . If your answer is well organized, compact, complete and clear, your instructor will be impressed! And, if for some reason you're unable to finish the answer, having an outline of where you were planning to go with your answer can illustrate to your instructor what your overall essay arc would've been, and demonstrate your thought process.
  • Include an introduction and conclusion . The introduction may be a rewording of the question into a statement containing your main point. A compact conclusion, highlighting the main points and tying the main ideas into a neat bundle, should follow the body of the answer. Both the introduction and the conclusion should be concise.
  • Reread the paper before turning it in . When we rush, we tend to
  • misspell words 
  • omit words and parts of sentences
  • omit parts of questions
  • mis-write dates and figures (1353 as 1953; $.50 as $50, etc.)
  • If you're not sure, offer approximates rather than specifics . Naming a date incorrectly could throw your entire answer off. If you aren't 100% sure, it's a good idea to write something like "During the early years of Impressionism" rather than "In 1864" if you're not entirely sure that it really is in 1864. More often than not, and unless otherwise noted, approximation is perfectly acceptable.

After the exam, once it's been returned to you, make time to go over it! Take note of what you did right, and also note what you missed and why. Reviewing the exam can save you hours of worry before the next test because you're making yourself consciously aware of your knowledge gaps and at the same time reassuring yourself about your strengths. If you don’t understand the score and/or comments that you received, talk to your professor — it’s the fastest way to identify what was missing or misunderstood, and to become more effective, not only in your future exams but in class as you continue to learn the material.

    PROBLEM SOLVING TESTS  

As with each of the above test-types, it will be important for you to practice the types of problems you might be asked to solve on the exam. And not just once but many, many times. This kind of problem-solving practice gets you into test-taking shape because you're engaging in the repeated practice of

  • identifying problem types
  • determining which formula you might use or how you might solve for the answer
  • explaining how you reached this conclusion and what will be happening in each of the steps you're about to take

As you feel more and more comfortable with the content, it's important to practice with problems that are different than the ones you've already seen in the homework or the book. Our information on problem solving tests and the strategies you might use in the test-moment can be found here .

Bottom line:

Try these strategies out. See how they work for you, and if you have any questions or want to make things work even better, come and see us in the ASC: Waldo Hall 125 | Monday through Friday | 9 AM to 5 PM. You don't need an appointment, you can just drop in when it's convenient. We talk about this stuff all the time with students. We know you're coming in with test-taking strategies that have worked in the past, but those strategies might not translate into OSU with as much effectiveness as you'd like. So please, come and see us: this is what we do and we're here to help!

WE'RE HERE TO HELP:

Mon-Fri, 9am to 5pm PST

Our drop-in space will be closed during finals week, but we are available to connect via live chat, phone, and email during business hours.  

Drop in: 125 Waldo Hall

Call us: 541-737-2272

Email us: [email protected]

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How Good Is Your Problem Solving?

How Good Is Your Problem Solving?

© iStockphoto Entienou

Use a systematic approach.

Good problem solving skills are fundamentally important if you're going to be successful in your career.

But problems are something that we don't particularly like.

They're time-consuming.

They muscle their way into already packed schedules.

They force us to think about an uncertain future.

And they never seem to go away!

That's why, when faced with problems, most of us try to eliminate them as quickly as possible. But have you ever chosen the easiest or most obvious solution – and then realized that you have entirely missed a much better solution? Or have you found yourself fixing just the symptoms of a problem, only for the situation to get much worse?

To be an effective problem-solver, you need to be systematic and logical in your approach. This quiz helps you assess your current approach to problem solving. By improving this, you'll make better overall decisions. And as you increase your confidence with solving problems, you'll be less likely to rush to the first solution – which may not necessarily be the best one.

Once you've completed the quiz, we'll direct you to tools and resources that can help you make the most of your problem-solving skills.

How Good Are You at Solving Problems?

Instructions.

For each statement, click the button in the column that best describes you. Please answer questions as you actually are (rather than how you think you should be), and don't worry if some questions seem to score in the 'wrong direction'. When you are finished, please click the 'Calculate My Total' button at the bottom of the test.

Your last quiz results are shown.

You last completed this quiz on , at .

Score Interpretation

Answering these questions should have helped you recognize the key steps associated with effective problem solving.

This quiz is based on Dr Min Basadur's Simplexity Thinking    problem-solving model. This eight-step process follows the circular pattern shown below, within which current problems are solved and new problems are identified on an ongoing basis. This assessment has not been validated and is intended for illustrative purposes only. 

Figure 1 – The Simplexity Thinking Process

Reproduced with permission from Dr Min Basadur from "The Power of Innovation: How to Make Innovation a Part of Life & How to Put Creative Solutions to Work" Copyright ©1995

Simplex Process Diagram

Below, we outline the tools and strategies you can use for each stage of the problem-solving process. Enjoy exploring these stages!

Step 1: Find the Problem

(Questions 7, 12)

Some problems are very obvious, however others are not so easily identified. As part of an effective problem-solving process, you need to look actively for problems – even when things seem to be running fine. Proactive problem solving helps you avoid emergencies and allows you to be calm and in control when issues arise.

These techniques can help you do this:

  • PEST Analysis   helps you pick up changes to your environment that you should be paying attention to. Make sure too that you're watching changes in customer needs and market dynamics, and that you're monitoring trends that are relevant to your industry.
  • Risk Analysis   helps you identify significant business risks.
  • Failure Modes and Effects Analysis   helps you identify possible points of failure in your business process, so that you can fix these before problems arise.
  • After Action Reviews   help you scan recent performance to identify things that can be done better in the future.
  • Where you have several problems to solve, our articles on Prioritization   and Pareto Analysis   help you think about which ones you should focus on first.

Step 2: Find the Facts

(Questions 10, 14)

After identifying a potential problem, you need information. What factors contribute to the problem? Who is involved with it? What solutions have been tried before? What do others think about the problem?

If you move forward to find a solution too quickly, you risk relying on imperfect information that's based on assumptions and limited perspectives, so make sure that you research the problem thoroughly.

Step 3: Define the Problem

(Questions 3, 9)

Now that you understand the problem, define it clearly and completely. Writing a clear problem definition forces you to establish specific boundaries for the problem. This keeps the scope from growing too large, and it helps you stay focused on the main issues.

A great tool to use at this stage is CATWOE   . With this process, you analyze potential problems by looking at them from six perspectives, those of its Customers; Actors (people within the organization); the Transformation, or business process; the World-view, or top-down view of what's going on; the Owner; and the wider organizational Environment. By looking at a situation from these perspectives, you can open your mind and come to a much sharper and more comprehensive definition of the problem.

Cause and Effect Analysis   is another good tool to use here, as it helps you think about the many different factors that can contribute to a problem. This helps you separate the symptoms of a problem from its fundamental causes.

Step 4: Find Ideas

(Questions 4, 13)

With a clear problem definition, start generating ideas for a solution. The key here is to be flexible in the way you approach a problem. You want to be able to see it from as many perspectives as possible. Looking for patterns or common elements in different parts of the problem can sometimes help. You can also use metaphors   and analogies to help analyze the problem, discover similarities to other issues, and think of solutions based on those similarities.

Traditional brainstorming   and reverse brainstorming   are very useful here. By taking the time to generate a range of creative solutions to the problem, you'll significantly increase the likelihood that you'll find the best possible solution, not just a semi-adequate one. Where appropriate, involve people with different viewpoints to expand the volume of ideas generated.

Don't evaluate your ideas until step 5. If you do, this will limit your creativity at too early a stage.

Step 5: Select and Evaluate

(Questions 6, 15)

After finding ideas, you'll have many options that must be evaluated. It's tempting at this stage to charge in and start discarding ideas immediately. However, if you do this without first determining the criteria for a good solution, you risk rejecting an alternative that has real potential.

Decide what elements are needed for a realistic and practical solution, and think about the criteria you'll use to choose between potential solutions.

Paired Comparison Analysis   , Decision Matrix Analysis   and Risk Analysis   are useful techniques here, as are many of the specialist resources available within our Decision-Making section . Enjoy exploring these!

Step 6: Plan

(Questions 1, 16)

You might think that choosing a solution is the end of a problem-solving process. In fact, it's simply the start of the next phase in problem solving: implementation. This involves lots of planning and preparation. If you haven't already developed a full Risk Analysis   in the evaluation phase, do so now. It's important to know what to be prepared for as you begin to roll out your proposed solution.

The type of planning that you need to do depends on the size of the implementation project that you need to set up. For small projects, all you'll often need are Action Plans   that outline who will do what, when, and how. Larger projects need more sophisticated approaches – you'll find out more about these in the Mind Tools Project Management section. And for projects that affect many other people, you'll need to think about Change Management   as well.

Here, it can be useful to conduct an Impact Analysis   to help you identify potential resistance as well as alert you to problems you may not have anticipated. Force Field Analysis   will also help you uncover the various pressures for and against your proposed solution. Once you've done the detailed planning, it can also be useful at this stage to make a final Go/No-Go Decision   , making sure that it's actually worth going ahead with the selected option.

Step 7: Sell the Idea

(Questions 5, 8)

As part of the planning process, you must convince other stakeholders that your solution is the best one. You'll likely meet with resistance, so before you try to “sell” your idea, make sure you've considered all the consequences.

As you begin communicating your plan, listen to what people say, and make changes as necessary. The better the overall solution meets everyone's needs, the greater its positive impact will be! For more tips on selling your idea, read our article on Creating a Value Proposition   and use our Sell Your Idea   Bite-Sized Training session.

Step 8: Act

(Questions 2, 11)

Finally, once you've convinced your key stakeholders that your proposed solution is worth running with, you can move on to the implementation stage. This is the exciting and rewarding part of problem solving, which makes the whole process seem worthwhile.

This action stage is an end, but it's also a beginning: once you've completed your implementation, it's time to move into the next cycle of problem solving by returning to the scanning stage. By doing this, you'll continue improving your organization as you move into the future.

Problem solving is an exceptionally important workplace skill.

Being a competent and confident problem solver will create many opportunities for you. By using a well-developed model like Simplexity Thinking for solving problems, you can approach the process systematically, and be comfortable that the decisions you make are solid.

Given the unpredictable nature of problems, it's very reassuring to know that, by following a structured plan, you've done everything you can to resolve the problem to the best of your ability.

This site teaches you the skills you need for a happy and successful career; and this is just one of many tools and resources that you'll find here at Mind Tools. Subscribe to our free newsletter , or join the Mind Tools Club and really supercharge your career!

Rate this resource

The Mind Tools Club gives you exclusive tips and tools to boost your career - plus a friendly community and support from our career coaches! 

problem solving type test

Comments (220)

  • Over a month ago Sonia_H wrote Hi PANGGA, This is great news! Thanks for sharing your experience. We hope these 8 steps outlined will help you in multiple ways. ~Sonia Mind Tools Coach
  • Over a month ago PANGGA wrote Thank you for this mind tool. I got to know my skills in solving problem. It will serve as my guide on facing and solving problem that I might encounter.
  • Over a month ago Sarah_H wrote Wow, thanks for your very detailed feedback HardipG. The Mind Tools team will take a look at your feedback and suggestions for improvement. Best wishes, Sarah Mind Tools Coach

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Self-Assessment • 20 min read

How Good Is Your Problem Solving?

Use a systematic approach..

By the Mind Tools Content Team

problem solving type test

Good problem solving skills are fundamentally important if you're going to be successful in your career.

But problems are something that we don't particularly like.

They're time-consuming.

They muscle their way into already packed schedules.

They force us to think about an uncertain future.

And they never seem to go away!

That's why, when faced with problems, most of us try to eliminate them as quickly as possible. But have you ever chosen the easiest or most obvious solution – and then realized that you have entirely missed a much better solution? Or have you found yourself fixing just the symptoms of a problem, only for the situation to get much worse?

To be an effective problem-solver, you need to be systematic and logical in your approach. This quiz helps you assess your current approach to problem solving. By improving this, you'll make better overall decisions. And as you increase your confidence with solving problems, you'll be less likely to rush to the first solution – which may not necessarily be the best one.

Once you've completed the quiz, we'll direct you to tools and resources that can help you make the most of your problem-solving skills.

How Good Are You at Solving Problems?

Instructions.

For each statement, click the button in the column that best describes you. Please answer questions as you actually are (rather than how you think you should be), and don't worry if some questions seem to score in the 'wrong direction'. When you are finished, please click the 'Calculate My Total' button at the bottom of the test.

Answering these questions should have helped you recognize the key steps associated with effective problem solving.

This quiz is based on Dr Min Basadur's Simplexity Thinking problem-solving model. This eight-step process follows the circular pattern shown below, within which current problems are solved and new problems are identified on an ongoing basis. This assessment has not been validated and is intended for illustrative purposes only.

Below, we outline the tools and strategies you can use for each stage of the problem-solving process. Enjoy exploring these stages!

Step 1: Find the Problem (Questions 7, 12)

Some problems are very obvious, however others are not so easily identified. As part of an effective problem-solving process, you need to look actively for problems – even when things seem to be running fine. Proactive problem solving helps you avoid emergencies and allows you to be calm and in control when issues arise.

These techniques can help you do this:

PEST Analysis helps you pick up changes to your environment that you should be paying attention to. Make sure too that you're watching changes in customer needs and market dynamics, and that you're monitoring trends that are relevant to your industry.

Risk Analysis helps you identify significant business risks.

Failure Modes and Effects Analysis helps you identify possible points of failure in your business process, so that you can fix these before problems arise.

After Action Reviews help you scan recent performance to identify things that can be done better in the future.

Where you have several problems to solve, our articles on Prioritization and Pareto Analysis help you think about which ones you should focus on first.

Step 2: Find the Facts (Questions 10, 14)

After identifying a potential problem, you need information. What factors contribute to the problem? Who is involved with it? What solutions have been tried before? What do others think about the problem?

If you move forward to find a solution too quickly, you risk relying on imperfect information that's based on assumptions and limited perspectives, so make sure that you research the problem thoroughly.

Step 3: Define the Problem (Questions 3, 9)

Now that you understand the problem, define it clearly and completely. Writing a clear problem definition forces you to establish specific boundaries for the problem. This keeps the scope from growing too large, and it helps you stay focused on the main issues.

A great tool to use at this stage is CATWOE . With this process, you analyze potential problems by looking at them from six perspectives, those of its Customers; Actors (people within the organization); the Transformation, or business process; the World-view, or top-down view of what's going on; the Owner; and the wider organizational Environment. By looking at a situation from these perspectives, you can open your mind and come to a much sharper and more comprehensive definition of the problem.

Cause and Effect Analysis is another good tool to use here, as it helps you think about the many different factors that can contribute to a problem. This helps you separate the symptoms of a problem from its fundamental causes.

Step 4: Find Ideas (Questions 4, 13)

With a clear problem definition, start generating ideas for a solution. The key here is to be flexible in the way you approach a problem. You want to be able to see it from as many perspectives as possible. Looking for patterns or common elements in different parts of the problem can sometimes help. You can also use metaphors and analogies to help analyze the problem, discover similarities to other issues, and think of solutions based on those similarities.

Traditional brainstorming and reverse brainstorming are very useful here. By taking the time to generate a range of creative solutions to the problem, you'll significantly increase the likelihood that you'll find the best possible solution, not just a semi-adequate one. Where appropriate, involve people with different viewpoints to expand the volume of ideas generated.

Tip: Don't evaluate your ideas until step 5. If you do, this will limit your creativity at too early a stage.

Step 5: Select and Evaluate (Questions 6, 15)

After finding ideas, you'll have many options that must be evaluated. It's tempting at this stage to charge in and start discarding ideas immediately. However, if you do this without first determining the criteria for a good solution, you risk rejecting an alternative that has real potential.

Decide what elements are needed for a realistic and practical solution, and think about the criteria you'll use to choose between potential solutions.

Paired Comparison Analysis , Decision Matrix Analysis and Risk Analysis are useful techniques here, as are many of the specialist resources available within our Decision-Making section . Enjoy exploring these!

Step 6: Plan (Questions 1, 16)

You might think that choosing a solution is the end of a problem-solving process. In fact, it's simply the start of the next phase in problem solving: implementation. This involves lots of planning and preparation. If you haven't already developed a full Risk Analysis in the evaluation phase, do so now. It's important to know what to be prepared for as you begin to roll out your proposed solution.

The type of planning that you need to do depends on the size of the implementation project that you need to set up. For small projects, all you'll often need are Action Plans that outline who will do what, when, and how. Larger projects need more sophisticated approaches – you'll find out more about these in the article What is Project Management? And for projects that affect many other people, you'll need to think about Change Management as well.

Here, it can be useful to conduct an Impact Analysis to help you identify potential resistance as well as alert you to problems you may not have anticipated. Force Field Analysis will also help you uncover the various pressures for and against your proposed solution. Once you've done the detailed planning, it can also be useful at this stage to make a final Go/No-Go Decision , making sure that it's actually worth going ahead with the selected option.

Step 7: Sell the Idea (Questions 5, 8)

As part of the planning process, you must convince other stakeholders that your solution is the best one. You'll likely meet with resistance, so before you try to “sell” your idea, make sure you've considered all the consequences.

As you begin communicating your plan, listen to what people say, and make changes as necessary. The better the overall solution meets everyone's needs, the greater its positive impact will be! For more tips on selling your idea, read our article on Creating a Value Proposition and use our Sell Your Idea Skillbook.

Step 8: Act (Questions 2, 11)

Finally, once you've convinced your key stakeholders that your proposed solution is worth running with, you can move on to the implementation stage. This is the exciting and rewarding part of problem solving, which makes the whole process seem worthwhile.

This action stage is an end, but it's also a beginning: once you've completed your implementation, it's time to move into the next cycle of problem solving by returning to the scanning stage. By doing this, you'll continue improving your organization as you move into the future.

Problem solving is an exceptionally important workplace skill.

Being a competent and confident problem solver will create many opportunities for you. By using a well-developed model like Simplexity Thinking for solving problems, you can approach the process systematically, and be comfortable that the decisions you make are solid.

Given the unpredictable nature of problems, it's very reassuring to know that, by following a structured plan, you've done everything you can to resolve the problem to the best of your ability.

This assessment has not been validated and is intended for illustrative purposes only. It is just one of many Mind Tool quizzes that can help you to evaluate your abilities in a wide range of important career skills.

If you want to reproduce this quiz, you can purchase downloadable copies in our Store .

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Logical Reasoning Tests: {YEAR} Guide for Logic Tests

What Are Logical Reasoning Tests?

Common logical reasoning test publishers, 6 logical reasoning tips to prepare for logic tests in 2024, frequently asked questions (faqs), logical reasoning tests: 2024 guide for logic tests.

Updated November 10, 2023

Edward Melett

Logical reasoning tests measure a candidate’s problem-solving and logical reasoning skills in a wide variety of ways.

These logic tests are used in recruitment, particularly when assessing graduates for entry-level positions.

Logical reasoning tests may seem daunting and somewhat alien, but they use the same reasoning processes we rely upon daily – just in more overt and abstract ways.

As with any recruitment assessment, understanding exactly what the logic test involves and practicing similar questions will help to prepare you well.

Logical reasoning tests are a form of aptitude test commonly used during the recruitment process, especially in the corporate sector; investment banks, law firms, consultancies or accountancy firms, for example.

These logical aptitude tests aim to provide insight into your mental agility.

They most often require the interpretation and manipulation of statements, numbers, shapes and patterns.

The logical tests require the ability to calmly approach an abstract problem.

Questions will test candidates in a variety of ways but you may be asked to:

  • Deduce trends
  • Identify patterns
  • Analyze arguments
  • Draw conclusions
  • Interpret relationships
  • Identify flaws

Your score will display how quickly you can absorb and process new information and whether you have an aptitude for problem-solving and critical thinking.

Success in these tests is important, as it displays to a prospective employer that you are a deft candidate with a well-rounded mental capacity.

The name of the logical reasoning assessment you are presented with may vary depending upon the test provider.

The assessments may be referred to as logical reasoning tests, but may also be called inductive , abstract or diagrammatic reasoning tests .

There is overlap in the logical assessment test areas of these styles of questions and the overall principle remains the same.

If you are sitting a logical reasoning test, it is prudent to find out which company will be providing the assessment so you can get more of an idea of the kinds of questions that are most likely to appear.

Prepare for Any Job Assessment Test with JobTestPrep

Common Logical Reasoning Test providers include:

Logical reasoning tests may be used during the recruitment process for any position at any level but are most common for roles that have a significant problem-solving component and require high functioning logic.

They are most often encountered at the assessment center stage of the process but can also be used at the interview stage.

The Most Types of Logical Reasoning for the Logic Test

Diagrammatic logical reasoning.

The most common type of logical reasoning test you will encounter is the diagrammatic form .

Simply put, you will be asked to answer questions based on shapes and patterns.

There will be a written question posed and then multiple-choice options to choose from for your answer.

These logic tests commonly test your abstract and inductive reasoning skills as they will assess your ability to identify patterns or trends and extrapolate or reapply this logic to select the correct diagram to complete a sequence (or identify the ones which don’t).

Verbal Logical Reasoning

Another common form of logical reasoning test is the verbal logical reasoning test.

This type of test is comprised of a series of paragraphs of text. Each will then have its own set of questions for you to work through.

Most commonly, the questions will consist of a list of statements.

You will then be required to decide which statement is the most accurate response, based on the information you have been given.

Some questions may present just one statement and require a choice between ‘Yes’, ‘No’ or ‘Cannot Say’.

These logic tests are looking at your deductive reasoning . You will be assessed on how well you can use the information given to come to logical conclusions.

This style of logical reasoning test requires active and attentive reading .

It is a good idea to ask yourself questions as you read to make sense of the scope and detail of what is covered in the text.

This will help you make judgments as to the validity of the statements in the subsequent questions more rapidly.

If you need to prepare for a number of different employment tests and want to outsmart the competition, choose a Premium Membership from JobTestPrep . You will get access to three PrepPacks of your choice, from a database that covers all the major test providers and employers and tailored profession packs.

Practice Logical Reasoning Questions with JobTestPrep

Examples of Logical Reasoning Tests

Here you can find three example questions, similar to those you may encounter when taking a logical reasoning assessment:

Logical Reasoning Example 1

Logical Reasoning Tests

Look at the diagram above. In this process, the input shapes are being transformed by the functions 'M' and 'S'. Use the diagram to determine the effect each of these functions then apply them to the input shape in the question to arrive at the correct output.

Logical Reasoning Example 2

practice logical reasoning questions

Which of the answer figures below belong in neither Group 1 nor Group 2?

Before you write down your answers, just double-check what the question was asking you.

It may seem obvious, but it is easy to misread ‘neither’ and answer the opposite question.

After spending time deducing the way the shapes in the patterns presented are governed, it would be galling to lose points because, when under time pressure, you accidentally answered the inverted question.

Logical Reasoning Example 3

Assuming the premises in the following text are true, what can we say about the conclusion drawn?

  • Some employees of the cybersecurity company only drink coffee.
  • Some employees only drink tea.
  • Some drink both tea and coffee depending on the day.
  • Some employees bring lunches.
  • Some eat their lunches at their desk, whilst drinking coffee.
  • Some never eat lunch at their desks.

There are some employees of the cybersecurity company who only drink coffee and never eat lunch at their desks.

Is the conclusion:

A) True B) False C) Uncertain

Step 1 . Find Out Which Type of Test Your Prospective Employer Is Using

Before you begin to prepare for your logical reasoning test, confirm the type of test your prospective employer is using. Don’t be afraid to ask, as the term ‘logical reasoning’ can encompass many types of test.

Step 2 . Practice Diagrammatic and Verbal Logical Reasoning

It is best to practice with questions closest to those you will encounter in the assessment, so trying to narrow down the question style is prudent.

If, however, you are unable to gain any further information on the test style, be sure to practice both the diagrammatic and verbal logical reasoning style of questions.

Step 3 . Work Out the Answer Before Looking at the Answer Options

Attempt to work out what the correct answer, rule or sequence is before looking at the answer options.

This means that your logic will not be influenced by any of the possible answers.

It also ensures you double-check the logic of your answer upon viewing the options for selection.

Step 4 . Start With the Answer

If you find yourself struggling to get to the correct answer in your practice sessions, work through some of the questions backward .

Look at the correct answer and then figure out what rule/pattern/evidence led to that answer.

This way, you will get used to working through the process of logic common in the questions.

Step 5 . Practice Under Timed Conditions

When you are practicing logical reasoning questions, make sure you time yourself .

Sometimes, logical reasoning tests have strict time limits, so being aware of how long you might have for each question will help you when you are under pressure on the test day.

Step 6 . Relax

The more familiar you become with logical reasoning tests, their format and the logic behind them, the faster and more accurate you will become at answering them.

It is important to relax so that your brain can focus on correctly solving the problem.

Remember that, with adequate practice, you will be in a great position to showcase your logical reasoning skills, so be confident and you’ll be well on your way to success.

What logical reasoning tests do major companies use?

Logical reasoning tests assess a candidate's ability to solve problems logically. Problem-solving is an essential part of many roles, meaning that logical tests are often included as part of an employer's recruitment process.

There are a variety of types of logical reasoning tests, each focusing on assessing a different type of logic used in problem-solving.

The most common logic tests used by employers to determine a candidate's logical reasoning include inductive reasoning, abstract reasoning, diagrammatic reasoning, or verbal reasoning.

How can you practice for logical reasoning tests?

Practicing logical reasoning tests vital to ensure you perform to the best of your ability when sitting the actual test.

When you practice logical reasoning, find out what type of logical reasoning test you will be completing and practice questions closest to those you will be asked to sit. If in doubt, practicing diagrammatic reasoning and verbal logical reasoning tests will help you understand the format and type of questions.

When sitting practice logic tests, make sure you time yourself to simulate the time pressure you will feel when taking the test itself.

What site would you prefer for a logic test?

Employers use several different test providers to administer Logical reasoning tests . These include SHL, Revelian, Talent Q and Kenexa.

Practicing logical reasoning tests is an important part of your preparation. The Psychometric Success website and app have many practice logical assessments tests that help you understand the format and style of questioning for each type of logical reasoning test.

You can find the Psychometric Success is available on Apple and Android devices.

How do you pass a reasoning test?

Preparation is essential in ensuring you perform to the best of your ability when sitting a Logical reasoning test . Make sure you practice as many types of logical reasoning tests, including the kind that you are most likely to encounter in the actual test.

When practicing, do so under timed conditions to experience the time pressure you will face when it comes to sitting the actual test.

When faced with a question, try and work out the rule, pattern, or sequence before looking at the multiple-choice answers.

If you are struggling in the test, try and remain calm. If you are unsure of an answer, mark your best choice, then move on to the next question.

Does a logical reasoning test work for selecting the right people?

A Logical reasoning test is an objective way of assessing your logical reasoning ability when solving problems.

When used along with the information gained from all parts of the recruitment process, it provides a reliable way to predict whether candidates demonstrate the logical ability required for success in a role.

As problem-solving is a requirement for the job, logical reasoning tests are popular in the recruitment process for many graduate-level roles.

What are the logical reasoning tips to crack the logical questions ?

Preparation is vital. There are different types of Logical reasoning tests that employers use, such as diagrammatic reasoning, inductive reasoning, or verbal logical reasoning. Knowing which type of test you will be asked is important to ensure you practice the questions you are likely to be presented within the actual test.

Practicing these questions under timed conditions means you become used to how the question is formatted and how you react under time pressure. When sitting the test, try and remain calm, read the question and approach each question in a positive frame of mind.

When you start the test, make sure you are clear on the time limit for the test, this gives you the best opportunity to answer as many questions correctly as possible.

When tackling the questions, try and identify the pattern or rule before selecting your answer. Don't dwell too long on a question if you are struggling. Make an educated guess, then move on to the next question.

Which free website is best for logical reasoning test prep?

Practicing logical reasoning tests is an integral part of your preparation.

Becoming familiar with the format, style of questioning, and how you react under time pressure can help you perform to the best of your ability in the actual test.

For practice tests and free tips and advice on approaching and passing a logical reasoning test, visit the Psychometric Success website.

Which is the best app for getting free education daily for logical reasoning test?

Employers use various types of Logical reasoning tests to assess your logical reasoning and problem-solving abilities.

When practicing logical reasoning tests, it is crucial to practice questions similar to those you will encounter in the ones you will sit.

The Psychometric Success app has lots of free advice, hints, and tips to help you prepare for any logical reasoning test.

Which android app can I use to draw logical reasoning test questions?

The psychometric Success app is available on Android devices and is a valuable resource to prepare for and practice logical reasoning test questions .

There are many different logical reasoning tests, each assessing different kinds of logical reasoning and critical thinking.

When practicing logical reasoning tests, ensure you know the type of logical reasoning assessment you will be asked to sit as part of an employer's recruitment process.

What are the various logical reasoning topics I should prepare for the test?

Logical reasoning tests are assessments used by many employers for graduate-level vacancies. These tests assess your approach to problem-solving and whether you can evaluate information logically to reach a solution.

There are several logical reasoning tests, each assessing a different logical reasoning approach to problem-solving. These include diagrammatic reasoning, inductive reasoning, and abstract reasoning tests. When preparing for a logical reasoning test, it is helpful to understand what type of test you will be asked to sit.

If you are unable to determine which type of test you will be sitting it is advisable to practice diagrammatic reasoning and verbal logical reasoning tests as part of your preparation.

How are Logical Reasoning Tests Scored?

The benchmark that indicates a good score in a Logical reasoning test varies by employer. To ensure you perform at your best, showcase your logical reasoning abilities and attain a good score, it is essential to practice the tests.

When practicing, simulate test conditions by timing yourself and keeping to the recommended time duration of the test.

When sitting the test itself, remain calm, identify the rule or pattern in the information given before looking at the answer, and don't lose confidence if you find the assessment challenging.

Can you still get hired if you fail a logical reasoning aptitude test?

Logical reasoning tests are used in the recruitment process for many graduate-level roles. These tests assess a candidate's ability to solve problems logically, an essential ability required for many positions.

There are several types of logical reasoning tests that employers use. Each employer will have its own criteria for assessing and scoring a logical reasoning test.

Understanding the type of logical reasoning test, you will be asked to sit, preparing through practicing tests, and when sitting the test remaining calm can all help you showcase your aptitude for logical reasoning.

You might also be interested in these other Psychometric Success articles:

Klarna Logic Test: Guide and Tips for 2024

Or explore the Aptitude Tests / Test Types sections.

McKinsey PST: Question Types, Study Plan & Mock Tests

The McKinsey Problem Solving Test (McKinsey PST) is a very crucial part of the McKinsey recruitment process. It is where most of the applicant pool is eliminated, and yet there are so few resources to help you prepare for it. Fortunately, you’ve found the ultimate guide to nail the test with an unbelievable level of detail!

Table of Contents

McKinsey PST overview

What is the mckinsey pst.

The McKinsey Problem Solving Test (or PST) is a paper-based test used at McKinsey & Company to select candidates for the case interviews. The PST is conducted after resume screening; it has 6 types of question, testing the candidate on 3 crucial problem-solving skills – data interpretation, mental calculations and logical reasoning.

McKinsey PST passing score / Acceptance rate

McKinsey has never officially stated the passing score or acceptance rate for the PST. However, these numbers can be estimated using reports from test-takers, with passing score being around 70%, and acceptance rate at roughly 30-35% (1 in every 3 candidates will pass).

Does McKinsey still use the PST?

Currently, the McKinsey PST is being replaced by the new Problem-Solving Game. However, the transition is not complete globally. In addition, the new Problem-Solving Game still retains the core principles from the old test, so preparing for the PST is still relevant.

problem solving type test

Why do they need PST?

It’s very similar to what we have here! McKinsey believes that the gap between CV screening and in-person case interviews is too big. The firm may miss many good candidates with bad resumes or may interview too many candidates who don’t live up to their resumes.

At the end of the day, in-person interviews are expensive, and the Problem Solving Test provides a cost-effective solution.

Who has to take the McKinsey PST?

Every candidate who passes the resume screening round has to take the McKinsey PST – if they apply for the management consulting track. Some report indicates that MBA applicants might be waived from the test – however, this is rare and you should confirm with the target office HR.

What does PST look like?

26 questions, 1 hour, paper-based, and no calculator! The test has 26 multiple choice questions set within the context of 3 business cases. A candidate has exactly 60 minutes to finish the test. He will be provided with a watch, pencils, scratch paper, and the test is in a paper-based format. No calculator is allowed. No personal assistant is allowed. Just you and the test!

As the business landscape is changing, candidate recruitment has become increasingly complex. This requires another way of presenting PST content for McKinsey. They have changed the format into gamification and planned to implement this method to all McKinsey offices within 2020. Visit the mock game designed exclusively for MConsultingPrep followers!

PST vs. GMAT vs. SAT?

If you are new to PST, you may hear the myth that PST is similar to the Math section in GMAT or SAT. In fact, being excellent in SAT Math does help with quantitative calculation in PST, however, the context is different. The SAT Math section includes only simple calculations in simple context; meanwhile, logic in business problems is highly emphasized in PST.

Why is this test so challenging?

  • You will not have enough time to properly think through each question.

If you are going to read every single word in the case background and do every calculation “asked”, you will not be able to finish the test. You will need to know how to work through stress and pressure, how to give out “high-probability” answers instead of “exactly-right” ones, and how to painlessly skip questions.

  • You will be judged by a machine (or if by a person, they will try to be like a machine).

I myself feel much more comfortable in an in-person case interview, where I will be fine as long as I have the right tactics. The interviewers generally allow candidates to make a few mistakes here and there, to slow down the process if needed, and to ask for help when necessary. In the PST, the result is all that matters. There will be no mercy granted. If you don’t get enough correct answers, you are out.

  • On top of those, the questions themselves are hard!

A huge amount of logical and analytical reasoning is required. You will need to really grasp the logical fundamentals of how management consultants solve problems, e.g: the difference between a conclusion vs a hypothesis; etc.

How to prepare for the McKinsey PST?

Step 1 : Seek confirmation from the target office if you must take the PST

Step 2: Get familiar with official sample tests from McKinsey

Step 3 : Learn the logic of each question type, common mistakes, and how to answer correctly

Step 4: Practice mental math to improve calculation speed and accuracy

Step 5 : Practice speed reading and data selection

Step 6 : Practice answering individual question type under time pressure

Step 7 : Do one mock test with simulated test conditions

Step 8 : Review the test and your performance

Step 9 : Return to step 3, 4, 5, 6 to for further practice on weakness

Step 10 : Do mock test again, repeat until you can confidently hit 90% or more

McKinsey PST question types

Some emailed me and asked what they should do if there were 3 days left until the PST. I would still suggest you follow our spirit of learning. When you have little time, choose which question you want to prioritize, tackle it carefully and decide how deep you will go into it. If I were in your shoes, I would use this prioritization table

In addition to the above, I would suggest you practice your math in these last days. The learning curve at the beginning is usually high for anything, including  Mental Math . Doing better math can significantly improve your test score. It reduces simple mistakes (which can still cost you points) and allows you to have more time for other questions.

McKinsey PST study plan

These are the same steps I took to pass the PST years ago, and the basis for my product – the PST Comprehensive Package which has helped countless candidates pass this notoriously difficult consulting test.

Step 1. Answer the questions correctly

You are recommended to first answer all the test questions correctly without time pressure. Before, you need to break down all the questions into 6 question types as below. Besides, it is necessary to understand how these questions are constructed, what are their logical foundation, and even how the wrong choices are made.

Step 2. Answer the questions quickly

There will be no turning point that indicates you it is about time to move to the second step, but you should gradually try to answer the questions both correctly and quickly. Once getting all the correct answers without clocking, you should put yourself under time constraint. If you don’t know how to increase your speed, you have better to start with 3 tips below:

#1. Increase your reading speed.

The PST contains 3 business cases with various number and case context, which requires you to read as fast as possible (of course correctly). Many candidates cannot finish their PST because of being overwhelmed in text. The Princeton intensive program is helpfulto increase your speed by 2 times faster without difficulties.

#2. Increase your calculator speed.

Half of the test involves math, which have no way to improve but practice rigorously. The more you practice, the better you gain. If you haven’t found any efficient tips, try our method to score well with Mental Math!

#3. Embrace test-hacking tips.

After years of coaching students to MBB, I have collected wonderful tips and tricks to nail your test with less effort! Find out some of those tricks as below or check out the McKinsey PST Comprehensive for more detail!

Reading facts

Reading-facts is the most common question type in the McKinsey PST (38%) and the BCG Potential Test (up to 100%). These questions test your ability to understand the facts/data itself. There will be no inferring, logic, hypothesizing, or creativity needed. Instead, proficiency in chart reading and calculations will be handy here. See the picture below for an illustration.

problem solving type test

QUESTION FORMAT

The following are a few examples of typical question formats:

  • Which of the following values is the best estimate of…?
  • Which of the following statements is valid based on the data…?
  • Which of the following can be concluded from Exhibit…?

Sometimes even though the word “conclude” is used, questions don’t require any logical reasoning, just your ability to read facts and perform basic calculations. In these cases, I still classify these questions into the reading-facts category.

SAMPLE QUESTION

This question is written based on an official McKinsey practice PST.

Which of the following statements is valid based on the data in Table 1?

A) Soccer revenue was more than $325 thousand five years ago

B) Tennis revenue grew by no less than 1.2% in each of the last five years

C) The total revenue of Saigon League did not grow at all in the last five years

D) If the growth rate in the last 5 years is maintained, Soccer revenue will be more than $420K 5 years from now.

You will see that no tricky logical reasoning is needed here. All you need in order to answer these questions is the ability to read the table and perform calculations correctly.

COMMON MISTAKES

A good way to determine the correct option is to investigate if the other three are wrong. Now there are two ways you can be wrong in this type of PST question: (1) Incorrect calculation and (2) Misread the facts/ data

Type #2 is harder to understand, so I will dive deeper into that here. Let’s look at the sample question above. Hope you got D, the correct choice.

Example 1: How you can misread the data – Why A is wrong

If you overlook the phrase “Average annual” on column 3′s title, then Soccer revenue 5 years ago would be: $342.8 k / (100% + 4.5%) = $328 k, which is more than $325 thousand. Revenue grew at an average rate of 4.5% in EACH of the last 5 years. It is NOT 4.5% over the whole period of 5 years.

Example 2: How you can misread the data – Why B is wrong

If you overlook the phrase “Average” in column 3′s title, then it seems like the growth rate for each of the last 5 years is exactly 1.2%, no more, no less. B, therefore, seems correct. However, as indicated in the table, 1.2% is just an average figure, which means there are years with a lower or higher growth rate.

Example 3: How you can misread the data – Why C is wrong

If you overlook the second column of the table (Revenue this year column), then it seems like the average overall growth rate for Saigon League is 0% (4.5% + 3.3% + 1.2% – 9% = 0%), which makes C correct. However, different lines have different sizes. Even though Golf had negative growth of 9%, it is a relatively small line so its impact on the overall rate is small as well.

Hope that you will not make this mistake in your real PST. Again, PST is a simple test… when you have enough time!

PREPARATION GUIDE

Skill #1: Calculation

We have a detailed article on Consulting Math and how to strengthen your quantitative proficiency.

Skill #2: Chart/exhibit/table reading

Always take a moment to read and understand every single chart or graph you encounter in your everyday life.After all, practice makes perfect.

You can also improve your reading speed through an amazing speed reading program by Princeton University .

Skill #3: Attention to details

The devil is in the details. It’s the little things that can make or break a project, and no true consultants would let themselves be caught unaware.

Develop a habit in daily life. Have the mindset that I am not going to miss any stupid details.

For every practice question you get in this type, make sure you understand not only why an answer is right, but also why an answer is wrong, exactly like what I did above.

PRACTICE QUESTIONS

problem solving type test

Which of the following statements is valid based on the data provided on Graph 3 above?

A) The Service-to-Agriculture ratio increased by more than 3 times between 1995 and 2007

B) Service GDP in 1995 is more than Industry GDP in 2007

C) Agriculture is where GDP value dropped the most between 1995 and 2007

D) In 2007, Service GDP is no less than 6 times Agriculture GDP

Correct answer: D

If you want to practice more, check out my PST Comprehensive Package for questions and answers!

Fact-based conclusion

Once you get into consulting, you will probably hear the term “fact-based” a million times a day. Consulting is the business of making conclusions based on facts. Consultants face tons of different problems throughout the course of any project: from the top to the granular level, from function to function, from industry to industry, etc. Fact-based conclusion is such a fundamental aspect of consulting that it weighs in heavily on the PST.

Fact-based conclusion questions test your ability to draw and recognize sound and logical conclusions based on a set of data/facts provided. See the picture below for an illustration.

problem solving type test

  • Which of the following statements is a valid conclusion based on …?
  • Which of the following statements can be concluded from …?

The McKinsey team has an interview with the Chief Operating Officer of the New Bingham Mine, Salt Lake City. During the interview, the following facts have been gathered:

  • The factory must have at least one safety inspector 24 hours a day, seven days a week, in accordance with Federal and State labor regulations.
  • To maximize operational efficiency, there must be exactly 10 line workers operating the mine.
  • The mine operates from 8 am until 5 pm, Monday to Sunday.
  • The mine employs 4 safety inspectors and 16 line workers to make 20 workers in total.
  • The total weekly labor cost for the Bingham Mine is $16,000.

Which of the following statements is a valid conclusion?

A. One-fifth of the total labor cost for the mine is for safety inspectors.

B. At least one safety inspector must work more than 40 hours per week.

C. Line workers do not work more than 40 hours per week.

D. The majority of the mine’s labor cost is for line workers.

A – Fit-well but not fact-based

There are 4 inspectors out of 20 employees so it seems like the cost of the inspectors can very well be 1/5 of total labor cost. But a missing piece of data to conclude that is: does each person get a similar total income?

C – Fit well but not fact-based

The mine opens for 9 hours per day, 7 days per week, and there must be 10 line workers at a time, so it is 630 man-hours per week at the line positions. There are 16 line workers, so on average each of them only needs to work 39 hours per week. This seems to fit very well with the proposed conclusion: line workers do not work more than 40 hours per week. However, a missing piece of data to conclude is: does every line worker work the same amount of time (if not, there can be some who work over 40 hours while others work less)?

D – Fit well but not fact-based

Similar to A, there are more line workers, so it seems like the total cost for line workers is more than the total cost for safety inspectors. But a missing piece of data needed to conclude is: does each worker get paid the same amount?

=> Only B is proven true by the provided facts

There are 24 * 7 = 168 inspector hours needed in a week, equaling 42 hours per week per inspector. So there must be one who works more than 40 hours.

Identifying proven true conclusions is an important foundation to master all conclusion-related questions. However, most conclusion-related questions in the McKinsey Problem Solving Test will be given in other formats. In this section, we will learn about the two types of twists: (1) False conclusions and (2) Conclusions reversed . Let’s start with the first one.

TWIST TYPE 1: FALSE CONCLUSION

Any proposed conclusion must fall into one of the following three groups: Proven True, Proven False, and Unproven. This twist is when a question asks you to identify the False Conclusion instead of the True Conclusion.

  • Which of the following statements is FALSE based on …?
  • Which of the following statements is FALSE based on … ?

METHODOLOGY

A proposed conclusion is proven false when you can point out at least one instance where the conclusion is wrong. Similarly, with true conclusion questions, unproven conclusions should also not be selected.

Notice that proven FALSE conclusions are NOT conclusions not proven TRUE. A conclusion will stay unproven until it is proved to be TRUE or FALSE.

Which of the following statements is FALSE based on Table 1?

A. A, Inc. had lower average economic growth in the last five years than D, LTD.

B. A, Inc. had higher average economic growth in the last five years than D, LTD.

C. Investment risk rating is based on the difference between maximum and minimum revenue growth in the past five years.

D. Potential rating is based on the maximum recent revenue.

Of A and B, A seems to be false and B seems to be true. However, both of them are unproven. The maximum and minimum figures are not enough to conclude the average.

We don’t know if C is right or not, but we know that it is not proven false. In the provided data, there is no instance where the larger difference between maximum and minimum recent revenue growth indicates smaller risk (and vice versa).

With D, we know for sure that it is proven false because we can point out an instance where the assertion conflicts with the data (B Corp. vs. D, LTD.).

TWIST TYPE 2: CONCLUSIONS REVERSED

Very often, conclusion questions in the McKinsey Problem Solving Test are given in a reversed format. You will be given the conclusion first and asked to pick what facts/ data would be enough to come up with that conclusion.

The key to answering this type of question is to recognize which proposed fact makes the stated conclusion proven or unproven.

This question is written based on an official McKinsey practice PST:

FOCUS Travel is a premium Russian tourism company, offering tours to South East Asian countries. Facing the economic downturn, FOCUS revenue has been hurt badly. While the CFO (Chief Finance Officer) proposed an overall price cut to stay competitive, the CMO (Chief Marketing Officer) is concerned that a price reduction would negatively impact the premium perception of the brand, which drives a lot of sales.

Which of the following statements, if TRUE, would best support the CMO’s assertion?

A. In a recent survey, FOCUS’s customers quoted “price” as the most important indicator in choosing travel agencies in a list of ten factors.

B. In a recent survey, FOCUS’s customers quoted “price” as the most important indicator of quality in a list of ten factors.

C. In a recent survey, there were customers who said they would not buy FOCUS’s services if there was a 10% price increase.

D. In a recent survey, there were customers who said they would not buy FOCUS’s services if there was a 10% price decrease.

In this question, the “conclusion” has been given to us: Price reduction will negatively impact the premium perception, which will in turn negatively impact sales.

Of the four proposed answers, which facts are enough to prove the provided “conclusion” above?

A: This fact is only enough to conclude that price will impact sales. Not enough to prove that price reduction will negatively impact sales.

C: This fact is irrelevant.

D: This fact is not enough to conclude that price reduction will negatively impact sales because not all customers say so. The word “there were” can be understood as either a minority or a majority. It is only enough to conclude the proposed conclusions when “there were” is replaced with “the majority of” or “all“ .

With B, we can logically infer that price reduction will negatively impact the quality perception, which in turn will hurt to sales.

3.3. Root-cause reason

This question gives you a particular set of facts/data and asks you to identify what could be the cause for them. When doing a real consulting project, we consultants have to find out the root-cause reason. There may be various reasons that can cause the current situation, but the root-cause reason will help us tackle and solve it more efficiently. You can see the picture below for an illustration.

problem solving type test

The following are a few examples of typical root-cause reason question format:

  • Which of the following reasons, if TRUE, will help explain the Facts …?
  • Which of the following does NOT explain the Facts …?
  • Which of the following points is NOT a valid reason for the Facts …?

Only B is proven true by the provided facts

Facts provided: Visits to the website MConsultingPrep were relatively low last month.

Root-cause Reason Question: What reasons, if TRUE, would help explain the low traffic to MConsultingPrep last month?

The correct answers can be any of the following:

1. The quality of contents has been bad

2. Because of technical issues, some visitors could not access the website

3. Last month was December when the overall demand for job prep materials is lowest in the year

4. Other new consulting prep blogs opened recently

Fact-based Conclusion Question: What can be concluded from the data provided?

All of the statements above can be the reason for the stated fact, but NONE of them can be concluded from it.

An example of a statement that can be concluded: Because the conversion rate stayed constant over the years, revenue last month was relatively low.

What makes a statement NOT a potential reason for a particular fact?

There are two ways a statement cannot be the potential reason: (1) Wrong Subject and (2) Wrong Trend.

  • A statement is (1) Wrong on Subject when the subject is irrelevant, which means the statement has zero effect on the phenomenon mentioned in the stated fact.
  • A statement is (2) Wrong on Trend when the direction is reversed, which usually means the statement has a reversed effect on the phenomenon mentioned in the stated fact

Illustrative example Let’s continue with the simple example above. The Stated Fact: Visits to the MConsultingPrep blog were relatively low last month. (1) Example of a “Wrong Subject” statement: “Some new Investment Banking Prep blogs opened recently” Here the subject “Investment Banking Prep blogs” is irrelevant to the stated fact. The statement (1) will have zero effect on the stated fact. (2) Example of a “Wrong Trend” statement: “Some other existing Consulting Prep blogs closed recently” Here, even though the subject “Consulting Prep blogs” is relevant, the trend is reversed. The exit of Consulting Blogs will increase visits to MConsultingPrep. Therefore, statement (2) will have an opposite effect on the stated fact.

PRACTICE QUESTION

Fletcher is a major Steel producer in the Pacific continent. It has markets in New Zealand, Australia and other South East Asia countries. Of many types of steels, re-bar (reinforced bar) is typically used in high-rises and big construction projects.

There are three main groups of steel consumers in New Zealand:

  • Homeowners purchase steel at retail sizes for purposes of self-constructing and self-renovating their homes
  • Scaled private construction companies, who often contracts large construction projects and steel orders
  • State-owned Enterprises (SOE), who build government’s projects such as roads, bridges, schools, hospitals, etc. (SOEs usually have bargaining power since steel providers need governments’ permissions in order to be legally used in particular countries.)

Table 1 below shows the size of re-bar steel market (in billions of $US)

Which of the following statements, if TRUE, best explains why future trends for South East Asia sales differ from sales in the other two markets?

A) South East Asia population is expected to grow strongest, which lead to high steel demand from individual homeowners.

B) South East Asia economy will be heavily based on SOE, so will the construction market.

C) South East Asia economy will shift toward privatization, so will the construction market.

D) Developed markets of New Zealand and Australia will have the most advanced steel production technology and facilities.

Correct answer: C

Word Problem

Word Problem is a quantitative question where the answer cannot be calculated directly from the data provided. Usually, we have to set up one or more equations in order to solve this kind of question. Word Problem questions in the McKinsey PST and Case Interviews are just the word problems we usually see in schools, GMAT… but put into business contexts. The method to solve them, therefore, is the same.

Table 1: Data on the Washing Room of Jean Valjean Restaurant

Suppose the restaurant opens 350 days a year. There are 3 meal shifts per day, 1 shift lasts 3 hours, 1 customer uses an average of 5 dishes per visit, and currently the restaurant hosts 530 customers on average daily.

What percentage of increase in the number of daily visits would be required in order to make purchasing the machines financially beneficial?

Step 1 . Convert data/facts into manageable and standardized format and units (only needed for complex questions).

Step 2 . Set up an equation with one (or more) unknown variables, i.e. X, Y, Z, etc.

Tips: Don’t worry about having to make the variable as the question asked. Just set up the equation in a way that makes the most sense to you as long as the variables can be easily converted to the asked variable. It will save much more time and helps you avoid silly mistakes.

Step 3 . Solve the equation and get the answer.

METHODOLOGY ILLUSTRATION

Let’s solve the sample question above together.

Step 1: This is a very complex question with many non-standardized and not ready-to-use data. If I am going to tackle this question on my PST, I would convert the provided figures and write them out on a table as follows.

Notice that I have converted all the necessary data points into the same unit of “Franc per day”.

The only data point not fully converted is the Labor cost in Manual Process (measured by the “per dish” variable), yet I want to make sure that I go as far as I can.

See how simple the problem is now!

Step 2: Now that we have very manageable data, let’s go ahead and set up an equation that will help us find the answer. The asked variable here is: what percent increase in current daily visits does Jean Valjean need?

As mentioned above, it is NOT necessary to put the variable question is looking for in the equation. In this case, doing so will result in a very awkward and complicated equation.

Instead, I set up the equation that makes the most sense to me (do note that there is more than one way to set up equations). Let Y be the “break-even size” (measured by people). I can easily calculate the percentage asked for after getting the break-even size.

Cost per day of Manual Process = Cost per day of Machine Process

Washing cost + Set up cost = Washing cost + Set up cost + other cost

Y x 5 dishes x 0.1 Franc + 30 Franc = 270 Franc + 90 Franc + 200 Franc

After executing step 1 and step 2, the problem becomes a lot easier. Now we have:

0.5 Y = 530

Y = 2 x 530

Once we have Y (the new “break-even” visit volume) of 2 * 530, we can quickly convert Y into the asked variable: What percent increase of 530 customers/day does Jean Valjean need?

The final answer is C.

Client Interpretation

In every consulting project, communication with the clients’ top-level (usually the Chairman or CEO) is always important. During my time with McKinsey, we usually hear an update every one or two weeks from our Project Director (usually a partner) on his meeting with the clients’ top level. Messages from those meetings are important on-going steers for the project. No surprise it makes up an entire question category in the Problem Solving Test.

Client Interpretation questions test your ability to read, understand, and interpret the messages the client is trying to convey in the case question or description. To some extent, this is very similar to GMAT verbal questions.

  • Which of the following best summarizes the CEO’s concerns?
  • Which of the following statements best describes the thoughts of the CEO regarding…?
  • Based on the opinion of the head of the Department, which of the following statements is valid?
  • Which of the following statements best describes the CEO’s aims for the McKinsey research?

Case context:

Mommy said she saw some dirty clothes on the dining table. She is also quite shocked to see Kevin’s toys in every room throughout the house. She even complains about how much time it takes her every night to clean up Kevin’s mess. “I will have to have a very straightforward conversation with Kevin tonight!”, said mom

Which of the following statements best describes the Mom’s concern?

A. Mom is not happy about too many of Kevin’s toys sitting on the dining table

B. Mom does not expect to see that many of Kevin’s toys in the house

C. Mom does not like to be responsible for anyone’s mess

D. Mom is too busy these days

E. Mom wants to talk to Kevin

F. Mom wants Kevin to be tidier

In this example, we continuously get small data points, all leading to one bottom-line, not explicitly mentioned but can be reasonably interpreted:

Kevin is too messy and mom doesn’t like that!

Notice that, the bottom-line here is not explicitly stated but it IS the bottom-line. All 4 sentences in the case context are small pieces of data leading to that final “so-what”. Having this “so-what” in mind, you can just skim through the answer and quickly pick F without concern about other choices.

In case you are curious about how other choices are “wrong-choice” …

Choices B and E are in fact right according to the case context, but not the bottom-line.

Choices A is simple wrong according to the case context (Tip #2)

Choices C and D are neither right or wrong according to the case context. There are not enough “evidence” to be reasonably interpreted using common sense.

TIPS AND TRICKS

Tip #1: Read the case description before going to multiple choices!

Normally the strategy of scanning through the answers first before going back to the case description works when you have a very long case description and don’t know where to look for the right information. Scanning through the answers helps you get a more focused read on the case description. However, the client’s assertion is typically found in a very short and specific part of the case description. So once you realize it’s a Client Interpretation question, go back to the case description and find that very specific part of the client’s assertion. Make sure you understand it very well. Then the rest of the work is just determining which of the four choices has the same meaning as the original assertion.

Tip #2: Cross out some obviously wrong choices …

… by recognizing a few words or short phrases that make a choice incorrectly reflect the client’s assertion. Sometimes, you can do this very quickly and effectively. If not, please see tips #3.

Tip #3: Catch the bottom-line, the “so-what” of client’s assertion

Client’s expression as quoted in the case context is always a bit blur and confusing. That is very realistic of what you may encounter in the real consulting work. It also makes these question types challenging. But in almost every situation, there is always one “so-what”, stated explicitly or implicitly. The trick here is to catch that so-what, ignore the noise, and go straight for the answer choice. Most of the time, the wrong choices DO contain a part of the client’s assertion, but either not the whole idea or the main, the bottom-line, the most important one!

Using this method, you can fly and land straight to the correct choice, not having to care too much about how wrong choices are made of. But if you are curious, some of the most common wrong-choice types:

  • Choice that is simply wrong according to the client’s assertion (Tip #2 above).
  • Choice that is in fact right, but is a minor point, NOT the bottom-line of the client’s assertion.
  • Choice that seems to be right, but cannot be reasonably interpreted by common sense (not by scientifically supporting logic like in other question types).

Gangnam Market is a convenience-stores chain mainly in the Gangnam district, Seoul, Korea. Though it has been losing money almost every year since 2000, Gangnam Market secures a good deal of strategic locations in the highly populated Gangnam district. Recently, Gangnam Market was acquired by Lotte Mart in its aspiration to expand to the mini-market market. Lotte right away sets up a transformation project to get Gangnam Market back on track. The CEO of Gangnam Market states that aggressive transformation targets are fine for newly acquired stores with a similar operation model with Lotte’s big stores, but he hopes that the parent company is realistic about the convenience-stores model Gangnam has been operating with.

Which of the following statements best reflect the concerns of Gangnam Market’s CEO?

A) He is concerned that Gangnam Market will never be able to transform itself into Lotte system because Gangnam Market only presents in a specific geographic location

B) He is concerned that Lotte Mart sets transformation milestones that are too aggressive and not realistic for newly acquired companies like Gangnam Market

C) He is concerned that Lotte Mart’s transformation milestones are not realistic for companies with different operational model from Lotte Mart like Gangnam Market

D) He is concerned that Lotte Mart’s transformation targets are too high for Gangnam Market because it has been losing money for a while

Formulae questions are generally like word problems in PST where you don’t have to provide the actual numerical results, just the formulae containing letters representing input variables. Normally, the question will provide input variables in letter format and you will be asked to provide the right formulae in letter format (e.g. it takes the process center T hours to process each file. If the speed is doubled, it takes T/2 hours to process each file). This is one of the easiest PST question types on the McKinsey PST. Let’s make sure you don’t lose points on any question of this type in your exam!

Table 3.6.1: Labor Cost and Processing Data – Holcim Missouri plant

Which of the following formulae accurately calculates the annual cement output per worker?

A. (c x p) / (b + w)

B. (c x p) / [(b + w) x 12]

C. 144 x (c x p) / (b + w)

D. 12 x (c x p) / (b + w)

FORMULAE FOR SUCCESS IN FORMULAE QUESTIONS

Formula 1: Calculate first before looking at the given option

A popular technique for multiple-choice questions is to read the answers first before coming back to the facts. However, that technique would not help you with Formulae Questions. The reason for this is that, often, the end-result formula has already been simplified (e.g. canceling out the same variable on both numerator and denominator) as much as possible. It gives you neither the path to get there nor any hints on how to solve the problem. For instance, when you look at the four options in the example above, does any of them give you a sense of what it represents or how to get there? What does (c x p) represent? What do you get by multiplying Cement output by Monthly labor income?

Formula 2: Divide the problem into smaller pieces (take one step at a time)

This is the universal tip for everybody in the consulting industry, and it also works great here! Often, the result cannot be directly calculated from the provided variables. However, if you take an extra step in-between, the problem becomes a lot easier. Let’s solve the sample question above together to illustrate this point. I broke the problem into smaller steps as below:

  • Step 1: Annual cement output per worker = Total annual cement output / Total number of workers
  • Step 2: Since we already have Total annual cement output of (c), the next step is to calculate the total number of workers. Total number of workers = Total labor cost / Salary of 1 worker Both Total labor cost and salary are provided. Bingo!
  • Step 3: Simplify the final formulae

Formula 3: Get the reading-facts tools right

In some aspects, the formulae question is also a tweaked version of reading-facts questions. You still need to read some facts and perform some calculations (with letters instead of real numbers). Therefore, it is important to master those reading-facts tools and apply them here.

Illustration of a usual mistake: Now come back to Step 2 above and explicitly solve it.

Step 2: Total number of workers = Total labor cost / Salary of 1 worker = (b + w) / p

Step 3: Annual cement output per worker = c / [(b + w) / p] = (c x p) / (b + w)]

Chosen choice: A

Unfortunately, A is NOT the correct answer, because the above calculation doesn’t take into account the difference in units – the salary is on a monthly basis whereas the total labor cost is on an annual basis. If you convert the unit, the final choice should be D.

No matter how beautifully you have tackled the problem, you will not get any credit if small mistakes like this slip through the crack. Make sure you don’t get blindsided by this kind of pitfall!

VICEM is a leading cement company in South East Asia. The following data regarding its business and production has been gathered.

Table 3.6.2: VICEM Business and Production data

Clinker factor is defined as the amount of clinker needed to produce 100 units of cement.

Which of the following formulas calculates the amount of clinker (in tons) needed to purchase in a year?

A) [(s x f) / 100] – c

B) [(p – s) / 100] – c

C) (p x f) – c

D) [(p x f) / 100] – c

 ANSWER KEY

McKinsey PST sample test

Download McKinsey PST practice test (PDF): TOYO case .

More free materials like this can be found in our Prospective Candidate Starter Pack – a collection of beginner’s materials to consulting resume, screening tests and case interviews. 

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The one and only existing platform to practice three mini-games of McKinsey Solve in a simulated setting

This article will give a detailed explanation of failing the test and practical advice to minimize the chance of poor performance in the McKinsey game.

The McKinsey Solve (other names: PSG, Problem Solving Game, Digital Assessment, Imbellus) is a two-piece gamified test designed by Imbellus for McKinsey.

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Benchmarks are available for various education levels (ranging from some high school education to Master’s degree or higher), business functions (from administrative to software development), and seniority levels (junior to senior).

Psychometric properties of the Problem Solving test

The metrics reported below are based on a sample size (N) of at least 1,000 candidates unless indicated otherwise.

Reliability:  Cronbach’s alpha coefficient = .72

Face validity:  Candidates rated this test as accurately measuring their skills (average score of 3.88 out of 5.00).

Criterion-related validity:  Candidates with higher scores on this test received higher average ratings from the hiring team during the selection process (r = .30).

For an in-depth look at interpreting test results, please take a look at our Science series article: How to interpret test fact sheets (part 1): Reliability .

For an explanation of the various terms, please refer to our  Science glossary .

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Analytical Reasoning Tests

  • 538 questions

Analytical reasoning tests examine an individual’s ability to apply logic to solve problems. The questions vary depending on the type of analytical reasoning test you’re taking: from extracting key information from complex passages of text (verbal reasoning), to looking for patterns in a series of images (non-verbal reasoning), or using given information to draw conclusions or make predictions (inductive and deductive reasoning).

What is an analytical reasoning test?

An analytical reasoning test is a type of aptitude test that is often used by employers to assess a job candidate’s ability to think critically and solve complex problems.

As well as these skills, employers want to see evidence that you can keep calm under pressure and work quickly against the clock.

The test is nearly always timed, meaning you don’t have long to work through each question to find the correct answer.

Depending on which type of job you’re applying for, the test you take may be in the style of verbal reasoning , non-verbal reasoning , inductive reasoning or deductive reasoning . As such, it’s worth practicing as many different types of tests as you can to familiarise yourself with the questions.

The analytical reasoning test is widely used because it looks for skills that are sought after in almost every industry. It helps employers find candidates who will be quick to learn, adapt and solve problems.

Why do use analytical reasoning tests?

Employers use analytical reasoning tests to assess candidates’ ability to analyze complex information, make logical deductions, and solve problems effectively. These tests help employers evaluate candidates’ critical thinking skills, decision-making abilities, and aptitude for handling challenging situations. By administering analytical reasoning tests, employers can identify candidates who possess the cognitive abilities necessary for success in roles that require analytical thinking, such as management, finance, engineering, and data analysis. Additionally, these tests provide employers with valuable insights into candidates’ problem-solving approaches and their capacity to navigate intricate scenarios, aiding in the selection of the most suitable candidates for the job.

As applicants have to work harder and harder to make their CV stand out, an aptitude test like this is a good way of ensuring candidates possess the necessary skills.

It’s common for employers or recruiters to set the analytical reasoning test before the interview stage, so they can select candidates based on their test performance. The test therefore acts as a filter, ensuring employers get to meet the people they believe are most likely to excel.

Completing a good analytical reasoning test gives an indication that you’re a strong critical thinker who can rise to the challenge – an attractive proposition for any employer.

How do analytical reasoning tests work?

An employer will select the type of analytical reasoning test (verbal, non-verbal, inductive or deductive) based on the skills they want to examine.

Finding out exactly which type of test you’ll be taking is helpful so you can focus your preparation, but if you don’t know we recommend trying out all of the different mock tests to familiarise yourself with the individual question styles and formats.

When you take the test, you’ll normally have around one minute to answer each question – which is yet another reason to familiarise yourself with the kinds of questions you’re likely to be asked.

Here’s a brief overview of the four different test types:

  • Verbal reasoning – requires you to read through long passages of text and showcase your comprehension and analysis skills by answering a series of questions on what you’ve just read.
  • Non-verbal reasoning – presents you with images such as graphs, pictures and patterns, and requires you to use your logic and problem-solving skills to decipher the rule that connects the sequence.
  • Inductive reasoning – equips you with certain facts or information, and then asks you to make predictions or assumptions based on that evidence.
  • Deductive reasoning – will ask you to use the statements given to you to make further statements of fact.

After the test, your score will be calculated and compared to those of the other individuals who took the same test, or a normative group (which can help an employer see how well you fared compared to previous candidates).

Analytical test formats

Verbal Reasoning Tests

Verbal reasoning tests examine your ability to draw out key information from long, often complex passages of text, to form a conclusion. Very often this takes the form of questions to which you would select ‘true’, ‘false’ or ‘cannot say’ as the response.

No prior knowledge of the subject matter is required, but it is important to practice verbal reasoning tests as it can take a while to get used to the question format.

You will need to be able to distinguish between what’s fact and what’s merely being inferred when you’re reading through the passages of text. This shows an employer that you have the comprehension, logic and analytical skills they’re looking for.

Practising verbal reasoning tests before you take the one that really matters is vital if you want to showcase the best of your abilities to a potential employer. The more mock tests you take, the better you’ll get at sifting through the passages of text for evidence, quickly assimilating the information and confidently deciding what’s true, false or uncertain.

You’ll normally have around one minute to answer each question on the verbal reasoning test (although it’s always worth checking this is the case with your test when you begin). It’s important you don’t spend ages on a challenging problem, as you could end up not answering other questions that you might have easily been able to answer.

At the end, if you have time left you can always go back to anything you weren’t sure about and have another go.

The verbal reasoning test is most commonly used by employers or recruiters hiring for roles where strong communication skills are critical – which applies to most jobs, hence their popularity.

Non-Verbal Reasoning Tests

Non-verbal reasoning tests comprise graphs, tables and data, and the accompanying questions will assess how adept you are at drawing conclusions from limited information, finding connecting patterns and working quickly under considerable time pressure.

These types of analytical reasoning tests are often part of the application process for roles in industries such as finance, engineering and HR.

The best way you can prepare for a non-verbal reasoning test is to take as many mock tests as you can. After you’ve completed a test, it’s important to look back through your answers and identify your weaker areas, so you know where you need to direct your focus.

Not only will practising ensure you get quicker and better, it’ll also help you familiarise yourself with the different graphs, tables and images you’re likely to be confronted with on a non-verbal reasoning test.

As with the verbal reasoning test, you normally get around one minute to answer each question, so finding the right balance between speed and accuracy is really important – something that you’ll find a lot easier if you’ve put the practice time in beforehand.

A successful non-verbal reasoning test will prove to an employer that you have the critical thinking, reasoning and logical skills needed to cope with the demands of the job you’re applying for.

Inductive / Deductive Reasoning Tests

If you’re asked to take an inductive test or deductive test , you’re essentially being asked to show how well you can identify patterns and use your logic. Although the overall skills you’ll demonstrate are very similar, the two tests are slightly different.

Inductive reasoning test – you’ll need to identify relationships between statements, images or facts and figures, and use this analysis to show, logically, what should come next.

Deductive reasoning test – you’ll be given a statement of fact and you’ll need to use this information to deduce another factually correct statement.

These aptitude tests are most commonly used in the hiring of science, tech and IT roles, as the type of skills they seek to showcase – logical thinking, identifying patterns, problem solving and critical thinking – are all valuable in these industries.

So even if you have the type of brain that finds these kinds of problems easier than most, it’s always worth practising inductive/deductive reasoning tests beforehand to familiarise yourself with the specific style of question, and what’s required of you in a short amount of time.

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5 Free Example Analytical Reasoning Questions

Here are five example analytical questions to try out. Answers for all five are below the tests. If you need further practice, try out our full free tests.

Verbal Question 1

verbal reasoning question

Statement : A derivative could be used by an airline to secure the price of oil now, which it won’t use until six months time.

Verbal Question 2

verbal reasoning practice questions

Statement : More people taking early retirement is the major contributory factor to the public sector pension deficit.

Diagrammatic Question 1

diagrammatic reasoning question

Which is the next logical image in the sequence?

Numerical Question 1

numerical reasoning question

What was the ratio of the cost of a Google click in April compared to the cost of a Facebook and Yahoo click in February?

Abstract Question 1

abstract reasoning question

Which of the boxes comes next in the sequence?

Verbal Question 1 : True – “to secure the price of a commodity which is to be “bought” at a future date, but at a price that is set today.”

Verbal Question 2 : Cannot tell – the passage refers to both this fact, extended life expectancy, and that the value of pension fund assets has fallen.

Diagrammatic Question 1 : There is a central figure and four figures with one in each corner: (i) The central figure firstly increases in size over a series of three, then decreases in the same fashion; (ii) The central figure changes from white, to having a dotted outline, to black; and (iii) The four figures rotate around the four corners, moving two corners at a time. So the correct answer is F.

Numerical Question 1 : Step 1. Extract the relevant figures from the graph Cost of per click in April. Google 18 cents : Facebook + Yahoo (14 + 6 = 20 cents). Step 2. Divide 20 by 18 to calculate the ratio. 20 ÷18 = 1.11 Step 3. Present as a ratio 1 : 1.11

Abstract Question 1 : Arrow changes direction from pointing up, to pointing down, with each turn. 2. Triangle moves from top left corner in an anti-clockwise direction around the frame with each turn. So the answer is B.

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Within two hours of practice I have improved my score from 50% correct to 88%.

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Analytical Reasoning Tests Tips

1 background research.

Get as much background information as possible on the test you’ll be taking from the employer or recruiter, so you know which areas to focus on.

2 Prepare with mock tests

Preparation is key – take mock tests in a quiet, distraction-free area and always make sure you go back through your answers at the end to identify any areas you need to work harder at.

3 Tips for test day

On the test day itself, make sure you have everything you need to complete the test. When you start, ensure you know roughly how long you’ve got to answer each question, as although you’ll always need to work quickly, it’s important to read the question thoroughly and ensure you’ve understood it before getting started.

4 Stay positive

Try and remain positive. The tests are designed to be challenging, since employers want to push you. If you’ve put the time and effort into practising aptitude tests, you should feel confident you’ve given yourself the best chance possible to succeed.

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Reviews of our Analytical Reasoning tests

What our customers say about our Analytical Reasoning tests

Bob Gautier

United States of America

October 23, 2023

I really do not think negatively in any way about this test. It dies what it’s supposed to do, and designed to do what it does.

Andrew Smith

United Kingdom

October 05, 2023

A good range of alternating patterns, some repeat themselves on several questions, while others are one-offs.

Caramel Teoh

The seqence

I like how convenient it was to answer to question. I dislike that all the question is almost all the same

Juan Garcera

August 06, 2023

Interesting

It is a good first immersion on the complexity of analytical reasoning and a good first step to get into more demanding exercises.

Stephanie Scalzo

July 25, 2023

Find patterns, but attack each question individually

I have not had the opportunity to take a test like this in years! It was really cool to use my brain in this kind of way again and to work through each individual problem while also finding patterns throughout the test.

MemeLord 29

July 13, 2023

Understanding the sequences

I liked the fact you had to use logical thinking and process of elimination sometimes, to figure the answer

Simulation Aeronautics

July 09, 2023

Attention to detail

The shapes in the pattern have changes which require sharp attention to detail to select the next sequence.

Marco Cavallari

June 03, 2023

My 1st ever psychometric test

It was quite challenging at first, but after a while it became more and more easier to find patterns.

Elizabeth M.Calinawan

Philippines

May 31, 2023

The refreshing abstract reasoning

i like the test very much. Refreshing the next sequence, need enough time to think it over but with the time limit. Yeah, very interesting this test too. Well, when.this test refer to a real life of course anticipation in the area may prevail have a swift solution in every conce

khadijah Ansari

May 16, 2023

My brain had a hard time focusing and differentiating between them, trying to recognise a pattern was difficult.

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McKinsey PST: a comprehensive guide

Six question types, skills tested, optimal pst prep: plan and test strategy, practice material, the next level, take our test for free.

  • Our PST preparation programmes

McKinsey PST: an adaptive learning approach to pass the test

The McKinsey Problem Solving Test (McKinsey PST) is a data interpretation and critical number reasoning test used by McKinsey to select candidates to be admitted to the first round of case interviews . The use of the PST is the main difference between the McKinsey recruiting process and those of its main competitors. The other distinct element is the PEI, or Personal Experience Interview. However, with this set of questions on personal impact McKinsey closely approximates the fit interviews of other firms.

The McKinsey PST is so notoriously difficult because it tests a very diverse skillset and requires you to work under the tightest of time constraints . Of those candidates good enough to be considered and given the PST McKinsey only pass one in three - where failure means immediate rejection . However, we are proud to say that despite the average PST pass rate being so low, 85% of candidates who use our course pass their own PST . For anyone who doesn't pass, we return half of their money .

This article serves as a guide to help you prepare for your McKinsey PST. We begin with an overview of what the PST is all about - this gives you a five minute briefing on all the essential information and the context of the PST.

Next, we spend some time going through each kind of PST question in turn, providing structured approaches to tackling them, complete with fully-worked PST example questions and specific PST tips and tricks which might come in useful.

Finally, we put everything together, with step-by-step guidelines on how to prepare for McKinsey PST success using our adaptive learning methodology .

Practice tests developed by McKinsey consultants

There are seven key facts which you will need to know about the McKinsey PST:

1. Who Has to Do the PST?

Not everyone has to do the McKinsey Problem Solving Test . Experienced hires and those recruited from top-tier business schools are often spared. However, in general, anyone applying to an entry-level business analyst role will be expected to pass the McKinsey PST to be considered.

If you are not sure whether you will be required to do the PST, your default assumption should be that you will , but you should ask with the HR team at the office you are applying to so as to be certain - this is a perfectly reasonable enquiry to make.

2. Format: 26 Questions, Pen and Paper

The PST is a multiple choice test completed on paper. 26 questions are divided between three business cases . These cases test how you would perform in the different phases of a consulting project: client interaction, problem definition, problem solving, analytical work and implementation. The cases are on the kinds of issues that real consultants will encounter in the field, including problems on market entry, profitability and operational improvement.

3. 60 Minutes

Quite simply, if you had three hours to work on an individual McKinsey PST, you could pass easily without any help. Time is the single major constraint in the PST. You are not allowed to use a calculator , computer or any other time saving device beyond your own brain, you need to make sure you have developed and practiced the required skillset - especially time saving skills - and approach the test as a whole with the most effective possible strategy .

60 minutes equates to just over two minutes per question , with a few minutes at the end to enter answers onto the answer sheet and quickly check everything is in order. Many candidates actually fail simply as they do not allow enough time at the end for this basic task. You have to be ready to work fast!

4. Make or Break

No matter how good your resume is , if you fail the PST McKinsey will not consider you any further and you will not be invited to interview. Remember, there will be hundreds of candidates with comparable resumes and the Problem Solving Test is given precisely to thin down this field. Passing is mandatory. Even after you pass and interview, your PST score will be considered alongside your interview performance to determine whether you are given an offer.

5. 70% Cut-Off

Success in the PST is an absolute function of your score rather than how it compares relative to other candidates - there is no "curve" . As such, performing better than the next candidate will be meaningless in itself. If all the candidates are sub-standard, all will fail.

Whilst McKinsey does not publish the exact cutoff for the PST, the best estimates (based on surveys of successful candidates) place it at around 70% .

One important point to remember is that you should give an answer for every question even if you are not entirely sure . The PST is not scored negatively - that is, for the PST McKinsey will not penalise for incorrect guesses (as per the system many medical students will be familiar with). As such, you should always give your best guess , just in case you get lucky.

6. 1-in-3 Success Rate

Whilst scoring is absolute, unofficial surveys have indicated that a fairly regular PST pass rate at around 33% . Most of those candidates who fail do so because they didn't work efficiently enough and/or failed to manage their time correctly , rather than because they lacked any cognitive capacity. One of the major causes of failure is actually candidates not allocating sufficient time at the end of the test to fill in the PST answer sheet!

The takeaway here is that the McKinsey Problem Solving Test should be treated more as a skill-test to be practiced for , rather than as some assessment of raw intelligence you can simply walk in and expect to pass if you are clever enough. You need to understand the relevant time saving methods and strategies to approach the test as a whole if you want to pass and eventually land your job at McKinsey.

7. McKinsey PST vs GMAT

If you have never sat the GMAT, you can skip this point. Many candidates who have previously prepped for and sat the GMAT suffer from a false assumption that the PST will be the same test by a different name - that there are very few diffences in the McKinsey PST vs GMAT. However, despite the similar format, this is not the case.

There is some overlap - for instance, you will need to have strong math for both. However, the PST requires a totally different, less academic style of math , where you need to be able to estimate, prioritise calculations and know how to take the right shortcuts (our mental math article is relevant on the differences here). Generally, the PST and GMAT serve different purposes and are tailored to those purposes in different ways. As such, you need to treat the PST as its own beast and prep for it accordingly.

An AI-based, bespoke preparation plan

As we have noted, the McKinsey PST is partitioned into three business cases, with eight to ten questions for each case. As with a real project, or indeed a case interview, you will be presented with data in charts or tables as well as with descriptive text . Typically, each individual piece of information will be followed by two to three questions referring to that information specifically.

PST questions can be split into six groups which can be expected to account for different fractions of the test. Let's take an in-depth look at each:

Giant stack of shipping containers, illustrating PST worked example of sales in different countries

1. ~35% - Reading Facts

Reading facts PST questions test your ability to extract and elaborate data from graphs and tables. These are the most common question type, and you can expect them to make up around 35% of your PST.

Typical Formats

  • Which of the following values is the best estimate of ...?
  • Which of the following statements is valid, based on the data ...?
  • What is the current ranking of options 1 to 5?
  • Which of the following values is the best estimate of ABC revenue in Year 4?
  • To the nearest tenth percentage point, what is the difference between Italy’s and Spain’s respective average annual agriculture sector growths due to fertilizing over the last 10 years?

Worked Example

The table below shows the sales development of the Topstar business unit across the main markets.

Which of these markets showed the fastest sales development (in percentage terms) from 2009-2012?

As you can see, two minutes is not a lot of time to solve this! Let's have a look at an efficient method to let you get to the answer as quickly as possible. The steps identified here generalise to other reading facts questions.

Read the question - pretty straightforward in this case, as you are asked to identify the country with the highest growth rate.

Read the answers - there are four countries to be compared.

Go back to the table - compare the growth rate, between only 2009 and 2012, for those four countries. Simplify figures as much as possible and run precise calculations only if you find out that the difference between two countries growth rates is not large enough to guarantee a reliable result through simplification.

Define the calculation - you need to work out the form of the equation you would need to solve in order to calculate market growth. This will be:

Now you can put the equation to work. Start with the first option - the US. Approximately, US growth will be:

From simple inspection, this is obviously much higher than 50% - it is around 70%.

You can then move on to other countries using this US value as a benchmark and comparing them solely to that value. Germany's growth will be:

This is very close to 50% - so obviously less that the ~70% of the US. You can cross out Germany as an incorrect answer. Note that, if the value for Germany had been higher than the US one, you would have crossed out the US and gone forward using the German growth value as your benchmark.

For Italy, the calculation will be:

1/3 is (roughly) 33%, so obviously lower than 50% and certainly lower than the US. Cross out Italy!

For Japan, growth was from 50 to 58, so there is no need to make any calculations in order to rule it out.

This leaves he US (option A) as the correct answer.

Tips and Tricks

There are a couple of tricks you can employ to get through Reading Facts questions more efficiently:

1. Begin with an end in mind

Before performing any calculations, be clear on which formula/equation you need to use. This is crucial as there is no time for trial and error in the PST. Spending just a few more seconds nailing down the exact formula you need at the beginning will pay dividends by saving you much more time in the calculation phase.

2. Minimise the number of calculations

When going through your solutions, you will be surprised by how many calculations can be avoided or approximated mentally. The fundamental question you should ask yourself before performing any calculation is "does this affect the answer?". This might sound a little odd, but it is a habit which you must form to become quick enough to pass the McKinsey PST. Here are a couple of examples where you can "work clever" to avoid redundant calculations:

The Anchoring Technique

This the technique we used in the example above. When looking for the highest value amongst several possible answers, run calculations for the first answer and use that value as a threshold value as you work through the others. If other answers look immediately wrong, do not perform any further calculations - just as we did with Japan, above. (Generally, you can almost think of this as a less probabilistic version of the solution to the secretary problem .)

The Selection Technique

Here, you pre-select only the calculations which are essential to identifying the answer. For example, the question below asks you to rank the effectiveness of 5 solutions:

  • 1, 2, 4, 3, 5
  • 1, 2, 3, 4, 5
  • 1, 3, 2, 4, 5
  • 1, 3, 2, 5, 4

Calculating whether solution A is the most effective is a complete waste of your time – it is the least answer-changing analysis. Instead, calculate which is the most effective between solutions B and C, working from there.

3. Master quick percentage calculations

Growth rates and percentages are ubiquitous in the McKinsey Problem Solving Test. In particular, it is pretty much a certainty that you will be asked to calculate growth rates over multiple time periods. This is theoretically feasible by hand, but extremely time-consuming. For example, say the revenues of a given company are growing at 5% per year for four years. In order to get a precise result, you would need to calculate the four year compound growth rate as follows:

Quite simply, regardless of how quick you are at math, you absolutely do not have the time to go through this whole calculation. It would almost certainly take more than two minutes just for this step, which might not actually be enough to answer the whole question (usually, calculating such a percentage will only be a subset of a question).

Instead, you can arrive at an approximate but good-enough value for this growth rate by using a straightforward shortcut. To do this, we simply multiply the growth rate by the number of years it will apply for, estimating the compound growth rate. Here, this will be 5% x 4 years = 20%.

There are a couple of caveats here which will already be obvious to more mathematically inclined readers:

  • With positive growth rates, the compound rate will be underestimated. Above, we estimate 20%, but the real figure is actually 21%. Conversely, with negative growth rates, this method will overestimate the compound value.
  • The greater the magnitude of the annual growth rate and the greater the number of years for which it is applied, the less precise this technique becomes. For instance, five years of compound growth at 5% per annum yields a 27% compound growth rate, whilst this shortcut would give us a value of 25%.

Young woman browsing clothing, illustrating a PST worked example question on a clothing retailer

2. ~18% - Root-Cause Reasons

Root-Cause Reason PST questions test your ability to identify the causes underlying business problems. These questions begin from some fact about a business, which must be explained. The candidate is then given a list of putative explanations for this fact. However, only one of this list of suggestions is actually a logically valid explanation of the phenomenon in question. The candidate must identify which this is.

  • Which of the following reasons, if TRUE, is most likely to be the reason for the drop in house prices in year two?
  • Which of the following, if true, LEAST explains the data for Slovenia and the Czech Republic in Exhibit 2?
  • Which of the following reasons, if TRUE, best explains the reason why the CEO wants to proceed to ...?
  • Which of the following does NOT help to explain why ...?
  • Which of the following, if TRUE, would best challenge the sales manager's decision?

Zapclothing is a global fashion retailer, traditionally catering primarily to teenage girls and with shops across Europe. Five years ago, the senior management at Zapclothing decided to embark up an move upmarket, with the aim of catering to a slightly older and more affluent customer base.

Leading French and Italian designers were hired to create unique and exclusive lines for Zapclothing, whilst prices were raised across the entire product line by 20-30%. A series of events were held in all major global cities in order to launch the new incarnation of Zapclothing as a brand with a more sophisticated, upscale image.

Initially, this mid-market transition boosted profit margins without altering sales volumes. However, one year later, the company has found itself with plummeting revenues and a decreased profit margin. In order to return profits to their previous higher levels, the marketing manager has proposed a permanent price reduction of 10% across all lines.

Which of the following facts, if true, would best challenge the sales manager's price reduction proposal?

  • Over the last year, due to higher commodity costs, prices increased by 15% on average for the whole fashion industry
  • Consumers consistently quoted price among the top three quality attributes for mid and high-level fashion brands in surveys over the last 5 years
  • In a recent survey, over 80% of the existing customer base claimed that they would still buy more than 50% of their clothes from Zapclothing, regardless of price
  • Females aged 20-30 consider price among the top three criteria for deciding whether to make a purchase
  • Read the question carefully, making sure that you understand what is being asked.
  • Scan the answers and underline the key words in the text. Don't spend any more than 10 seconds on this step - the intention is simply to make you quicker in finding the relevant parts of the introductory paragraph.
  • Think carefully about how this proposal can be challenged. The most effective challenge is necessarily that acting based on this proposal would not help to solve the company's problems - in our example, restoring high revenues. If this is the case, then the proposal does not correctly identify the cause of the focal issue.
  • Go back to the answers, crossing out the incorrect ones. Let's see how we assess the four answers in our example:
  • Not relevant . The fact that prices increases increased on average by 15% for the whole industry does not tell us whether a decision to reduce prices would bring in additional revenue from existing and/or new customers. FALSE
  • If consumers consider a higher price to be a signal for superior for mid and high-level fashion brands (where Zapclothing hs positioned itself), reducing prices could have a neutral or even counterproductive effect on revenue growth. TRUE
  • Not relevant . This statement is only relevant to revenue derived from existing customers. Even if the behaviour of current customers was entirely unchanged, revenues could still be grown by tapping the pool of potential new customers. The information provided is incomplete and would not be sufficient to challenge the sales manager's proposal. FALSE
  • Opposite Direction. This fact would not challenge the sales manager's idea, but reinforce it. FALSE

Practice makes perfect

Correct answers in Root-Cause Reason questions will always have two elements in common:

  • Relevance - they have a significant effect on the target stated in the introductory paragraph
  • Correct Directionality - their effect on the target should be going in the direction required by the question

As we have already observed in the example above, there are generally three kinds of answer in Root Cause Reasons:

1. Not Relevant

These are answers which have no, or only limited, effect on the proposal in question (as with answers A and C in the example above). By identifying the kind of fact which would have some bearing on the proposal, you will be able to quickly pick out answers which simply have no influence on the relevant issue.

Note here that you should always be careful not to assume anything which is not explicitly stated. Often, there can be a temptation to think beyond what is actually on the page. For example, when you are assessing C above, some candidates might assume that the preferences of existing customers will also be representative of potential new customers as well, or perhaps that the focus on existing customers indicates their particular importance to the problem. This would make C seem more relevant to the sales manager's proposal and would thus then ultimately lead you into error. PST questions are a test of your ability to read closely and think logically - not of your imagination!

2. Relevant, But With the Wrong Directionality

These answers affect the proposal in question, but with the effect going in the opposite direction to what you are looking for. For example, D above actually reinforces the sales manager's proposal rather than challenging it.

One of the most common errors in Root-Cause Reason questions is selecting answers which are relevant, but with the opposite directionality to what the questions is asking for. As such, you must always keep in mind what the question has actually requested and the kind of answer which fulfils that request.

3. Relevant and With the Correct Directionality

These are answers which significantly affect the proposal in the correct direction, according to the parameters set by the question.

pile of various drugs, illustrating a PST worked example question on a pharma company

3. ~17% - Fact-Based Conclusions

Fact-Based Conclusion PST questions test your ability to draw logical conclusions from a collection of facts. These questions can manifest the greatest degree of variation of all types, and can range from something relatively similar to a Reading Facts question to a requirement for you to make some very tough inferences from rather vague introductory text.

  • Which of the following statements can be concluded from ...?
  • Based on the data on table ..., which of the following statements is a valid conclusion?

Pharcom is a global pharmaceutical company engaged in the development of small molecule drugs. Your team has been called by the Head of R&D to help him pre-select the drugs that are most likely to reach patenting and commercialization. He claims that, on average, 12% of researched drugs are cleared to be marketed, while the remainder are dismissed either during the R&D process or at final certification. Currently the average total expense for every drug in development is £12m and the full trial and certification lasts for 10 years for the drugs going through the full process. The research and development process of the drugs is constituted by the following steps:

  • Trial 1 : Laboratory trial to test the effect of the active ingredients. The trial costs £3.5m and lasts for 2 years.
  • Trial 2 : Laboratory trial to test the impact of side effects. The trial costs £4m and lasts for 1.5 years.
  • Trial 3 : Animal testing to evaluate bacteria resistance. The trial costs £4.5m and lasts for 4.5 years.
  • Final certification by Food and Drug Administration . Filing costs £4.5m. Certification lasts for 2.5 years.

Which of the following statements can be concluded based on the information above?

  • Most drugs complete the entire research, development and certification process.
  • Before being either approved or dismissed, drugs remain in the development and certification process for an average of 7.5 years.
  • Reducing by 50% the length of Trial 2 and Trial 3 would reduce the total cost of the Pharcom research and development process by £4.25m.
  • Over 50% of the drugs reach Trial 3 stage in the research and development process.
  • Read the question carefully and make sure you understand what is being asked.
  • Read the answers and underline key words in the introductory text . Identify the specific graph or portion of the introductory paragraph each answer refers to.
  • Start with the numerical answers . These are often the clearest and most straightforward to solve. Generally, go back and forth between the answers and the introductory text and any figures. To identify the correct answers, it helps to consider whether the opposite of the statement would be true.
  • Since the average cost per drug is £12m, we can quickly establish that the average time in the pipeline is 8 years - at the end of Trial 3 - as this is the point where £12m of expenses have been accrued (£3.5m from Trail 1, £1.5m from Trial 2 and £4.5m from Trial 3). Let's take the hypothetical case where 50% of drugs stay in the pipeline for 7.5 years and 50% for 8.5 years. In this case, no drugs at all complete the pipeline, but the mean time spent in that pipeline would be 8 years. Since cases where no drugs at all are approved are compatible with the information we have been given, we certainly can't safely infer that most drugs are approved. As such, we can rule out A. FALSE

As we have just established, the average time drugs are in the process before being dismissed or certified is 8 years (as the average cost of £12m is accrued by the end of Trial 3). Obviously, then, the value here of 7.5 years in wrong. FALSE

We simply don't have the information which would be required to know if this statement is true or not. It might be tempting to imagine here that if we halve the time for a trial, we halve the duration of a trial, then we halve its cost - this would indeed yield a value of £4.25m. However, we have no justification for the assumption here that cost varies with time in a purely linear fashion. In more usual business terminology, we cannot assume that the costs associated with trials are purely variable, so that halving the trial's magnitude halves costs. There might be fixed costs which are incurred regardless of trial length - perhaps administrative costs in setting up the trial or the cost of buying equipment, recruiting staff etc. Clearly we cannot state C to be true based on the information we have. FALSE

Trial 3 is reached after 3.5 years - that is, the total duration of Trials 1 and 2. As above, the average time each drug spends in the pipeline is 8 years. Now, mathematically, it is entirely possible for mean and modal values to diverge significantly. This is to say, it is possible for more than half of drugs to be in the pipeline for much less than our 8 year average value as long as there are some drugs staying in the pipleline for much longer so as to balance them out.

Let's take another hypothetical extreme case. We could keep a mean of 8 years but approach the case where the majority of drugs did not make it to Trial 3 by assuming that 50% of drugs are rejected just slightly before the 3.5 year mark. To keep a mean of 8 years, then, the other 50% of drugs would need to remain in the pipleine for 12.5 years. However, the maximum length of the process before certification is 10 years. As such, we know that more than 50% of drugs must be in the pipeline for more than 3.5 years - and thus make it into Trial 3. TRUE

In dealing with Fact-Based Conclusion PST questions, there are three types of answer which you might encounter:

1. False Conclusions

Some answers might simply be false or wrong. Even if they seem logically sound, the outcome might be reversed or otherwise wrong.

2. True Conclusions

Answers which both have sound logic and draw the correct conclusion.

3. Unproven Conclusions

The logic here might be correct and the conclusion might well seem reasonable. However, they cannot be fully supported by the facts which have been presented to you in the introductory text and/or graph.

How to discern false answers from true ones

Telling apart true and false answers can be both challenging and time consuming. In particular, some answers will require to mentally estimate a whole set of values for which statements or relationships might hold. Here are two steps which might prove useful in assessing a statement:

Can the opposite also be true?

Always consider whether the opposite of what has been stated can actually be disputed. Candidates typically fail to ask themselves this question, but it can be highly revealing. You will be surprised at how much of a difference asking this simple question can make.

Consider the extremes

Answers should always hold true - not just most of the time. If an answer is not always true, it is not valid. A variant of this method we used above to verify answer D above - we considered the extreme values which would could notionally maintain the average of 8 years, but then ruled these out as impossible within the bounds of the question.

Rack of belts illustrating a worked example PST question concerning two menswear companies

4. ~15% - Word Problems

Word Problem PST questions require you to solve business problems by combining information across sources. In other kinds of question in the Problem Solving Test, you will find all the relevant data from exhibits or introductory paragraphs. However, in Word Problems, part of the challenge is that the relevant data is spread between the question itself as well as the introductory text or exhibits. If you have taken the GMAT, you will find that word problems are the closest of the PST question types to what you will find in the GMAT.

  • Assuming that a machine costs $2m, how many years will it take for the firm to break even from its investment?
  • If an average employee is paid 12 hours per month, which of the following formulae accurately calculates the average number of items handled per employee, per month?
  • If employees’ salaries are increased by 20%, what is the increase in productivity required to break even?
  • Assuming that the economy keeps on growing at 2% per year for the upcoming 10 years, which of the following equations best approximates the decrease in the debt/GDP ratio?

Bar chart from example PST question showing average number of clothes sold per employee in key categories for two retailers

Ardito, a leading fast fashion retailer, has 79,000 employees spread over 3,350 branches. Maison operates on approximately 25 FTE employees per retail branch. Approximately, how many more branches than Ardito should Maison have to sell as many items in menswear as Ardito?

  • Carefully read and understand the Word Problem
  • Go through the answers to assess the level of precision which you are going to need in your calculations. Here, since the answers are quite far apart, you will be able to estimate rather than calculated precisely.

First, consider what has to be kept constant

This yields:

At this point, we have two possible solutions. The first is as follows:

The final answer will be between 1000 and 2000. Thus, we know the answer is B. However, note how many steps and how many calculations were involved here - you almost certainly won't be able to get this done in under two minutes!

The second solution takes care of this problem and is as follows:

Here, you simply plug numbers from the answer options into the equation and see which would make that equation work. This method is by far the more efficient way to solve this kind of problem.

Quickly, we can see that 1,700 is the only result fitting the equation. Thus, the answer is B. Note how much faster this was than the first solution.

Picture of a consultant and a client discussing a project, illustrating PST questions on client interpretation

5. ~10% - Client Interpretation

Client Interpretation questions focus on understanding project requirements and the analyses which will be necessary to tackle the client's concerns. In consulting projects, you will engage every day with various stakeholders from the client company . Fundamentally, client interpretation questions are about understanding:

  • What the client says that can have an impact on defining the scope of your project
  • What the client implies about given choice or strategy
  • Which are the best analysis decisions to take in order to fit the client’s needs
  • Which of the following best summarizes the CEO’s concerns?
  • Which of the following statements best describes the thoughts of the CEO regarding...?
  • Based on the opinion of the Head of Department, which of the following statements is/are valid?
  • Which of the following statements best describes the CEO’s aims for the McKinsey study?
  • Which of the following analyses would be LEAST useful to address the CEO’s concerns?
  • Given the aims of the CEO, what would be the LEAST relevant question for the team to answer?

Soul is a leading fashion retailer, selling clothing, shoes, make-up and accessories. It has around 400 shops worldwide, of which 200 are in the UK. Soul operates through a franchising model, where shops are run by private independent companies who pay a royalty fee to Soul. In exchange, Soul designs the shops and supplies them with new clothing lines, manages branding and advertising, sets promotions and provides shop-owners with guidance on all standard operating procedures for running the shops. This strategy enabled Soul to dramatically grow in scale, boosting shop opening and customer base. However, customer numbers have recently plateaued, resulting in slower sales and profit growth.

The CEO of Soul has engaged your team to help understand whether the recent changes in revenue and profitability trends are related to unsatisfactory shopping experience. He is convinced that the recent growth in scale came at the expense of a consistent shopping experience across all locations. He tells the team “I am sure that the responsibility of the current slowdown lies in poor delivery by the shop owners. I recently visited five shops in different countries and three of them did not fully apply our policies ensuring consistency in shop layout and pricing policies. This is disorienting our customers and pushing them to seek out our increasingly aggressive competitors”.

Which one of the following answers BEST describes why the CEO has engaged your team?

  • He wants help in implementing a coherent and consistent brand image and shopping experience across all shops.
  • He wants to identify the causes of the inconsistent shopping experience across shops in different countries.
  • He wants to validate his hypothesis that an inconsistent shopping experience in different stores led to declining revenues and profitability.
  • He wants to overhaul the set of policies and standard operating procedures imposed to shops in order to guarantee a consistent shopping experience.

Here, two aspect of the established method from above take on increased significance over the others:

  • Read the question . This is generally pretty straightforward, and simply enquires as to the client's reason for engaging McKinsey.
  • Scan the answers and underline key words. Do not spend any more than 10 seconds on this step. As before, the purpose is simply to facilitate finding relevant pieces of information later.
  • Go back to the text and quickly jump to the relevant part . More than 50% if the paragraph is of little or no use. Precisely reading the essential sentence will be enough to answer the question.
  • This answer may be true, but it does not capture the purpose behind engaging your team. The CEO did not call your team to advise him on branding or design, but because he wants to understand the causes of his company's downturn. FALSE
  • The reason for engaging your team is not to understand the causes of the poor shopping experience, but the causes of the downturn - these are not necessarily going to be the same thing. FALSE
  • The purpose of this engagement is finding out whether inconsistent shopping experiences across stores led to the current downturn. TRUE
  • Again, this answer could be true, but it is not the reason for engaging your team. The CEO did not bring you in to redesign policies, but to understand the causes of the downturn. FALSE
  • Highlight the keywords in all answers . Prioritising the right words and sentences will save you a great deal of time.
  • Cross out incorrect answers . Often, one or more answers will be clearly incorrect, whilst two or more will appear to be correct or almost correct. Cross out the obviously wrong answers before returning to the introductory text to pick out which of the "almost right" answers is actually correct.
  • Beware of the "sensible answer trap" . Sometimes, answers contain implications which look rational and sensible. However, be very careful about making assumptions beyond the information you have been supplied. No matter how reasonable a statement might seem, if the client has not actually said something to that effect, that statement is simply not valid.

Fishing boat illustrating PST worked example question on a fish and seafood company

6. ~5% - Formulae

Formulae PST questions ask you to express a quantitative word problem as a symbolic formula. This will test you capacity for abstraction by challenging your abilities to extrapolate from data, break down problems and identify drivers and directions of causality.

Which of the following formulae calculates the share of non-performing loans out of total loans?

Typical format

Which of the following formulae best approximates ...?

Forman Fisheries is engaged in packaging shrimp and other fish. Shrimp are graded from A to D depending upon their size and taste. Below are some key productivity indicators for Forman Fisheries' shrimp packaging activities:

Assuming that all boxes contain the same quantity of shrimps, which of the following formulae best approximates how many boxes of non-grade A shrimps were packed in the last month?

  • Homogenise your units of measurement . Since we are looking at a number over one month, wherever we will need the quantity of total boxes c, we will divide it 12, since it is an annual indicator.

Break down the problem into smaller steps . This should help you get to the relevant ratio more quickly. In this case:

Identify how to solve for each of the elements of this equation:

Simplifying:

And thus the correct answer is answer D.

All you need to pass the McKinsey PST

Sometimes, answer formulae are presented with various simplifications which can make it time consuming to figure out whether they are correct. However, formula questions are about extrapolating a formula which should work with any value for each variable.

A trick to double check your results is to replace some of the values in the table with simpler ones, come up with a solution and then plugging these simple values into the formulae to see if they produce that same solution.

For example, in this case, assume that:

Grade A shrimp share of total shrimp (b) = 10%

Total boxes per year (c) = 1200

Therefore, boxes per month = c / 12 = 100 per month

Since all boxes are the same size, non-grade A boxes will be:

Now that you know that a correct equation will generate a result of 9, you can plug the numbers above into each of the options and check which produces 9 as an answer. This trick works especially well when the formulae involve high degrees of simplification.

Climber on a very difficult wall, illustrating the skills tested by the PST

Each PST question type tests a subset of the skills that are useful in consulting. It is worth remembering that there is only so far practicing PST example questions alone will get you if you have not taken the time to develop these skills. Think about a kid trying to learn math - they can spend hours looking at all the sums they want, but they won't get very far if they haven't learnt to add yet!

Since these are the exact same skills that are assessed in your case interview and via your resume and cover letter , it makes sense to learn exactly what they are and what is required of you. It is worth noting that this is the same overall consulting skillset is the same one we teach in our Case Academy - our approach is consistent across the whole recruiting process.

So, what are these skills?

Just like doctors, consultants focus on identifying and treating the underlying causes of a problem. When you address a problem, you shouldn't ever stop at the superficial level of observable symptoms, but must dig deeper and find the real issue underlying what you are dealing with.

For example, imagine a doctor who has a patient complaining of persistent headaches. A good doctor is not just going to keep dishing out painkillers, but are going to want to establish what is causing the pain. It might be, say, that the headaches are caused by poor eyesight. If so, the patient will be dispatched to the optician to get some glasses to solve the problem more permanently.

Consultants always anchor their diagnoses and recommendations on data and analysis - never on opinions or hunches! This is called a fact-based approach.

In order to be able to correctly answer all the PST questions (and fill in that answer sheet!) within the time limit, you will need to be able to prioritise important data and calculations, effectively deal with uncertainly and generally find a good compromise between accuracy and speed. This includes the ability to select salient information from large volumes of text and to deal with ambiguity within that text. Once they are on top of the raw facts of what is happening, consultants will always then extract the salient implications - or the "so-what" - of the situation, rather than just re-describing the same data.

Most PST questions will require you to perform some kind of calculation. Since you are not permitted to use a calculator or similar, you are going to have to be very comfortable with mental math. In particular, you will have to be able to make estimates very quickly. We have an article on mental math for consulting , as well as a free practice tool , which will be a great starting point to sharpening up your skills and learning the various shortcuts to make your calculations faster.

To pass the McKinsey PST as well as to get through your case interview , you are going to need to be able to quickly and reliably infer relevant information from complex graphs and tables. This information will be used to find root causes, draw fact-based conclusions or as the starting point for mental math problems.

The McKinsey PST doesn't require super-complex math, and certainly nothing beyond high school level. McKinsey PST formulas will always be realtively simple ones and you will not have to muster any complex algebra. However, what will be different from a high school math question is that it will be much less clear as to how you should be approaching problems. You will often have to set up equations by extracting one or two salient relationships from a large amount of otherwise irrelevant information. Identifying what is relevant will be the real challenge rather than the relatively simple math. Subsequently manipulating these formulae will come relatively easily to many of you. However, the time constraints and lack of a calculator in the PST will necessitate even the most mathematically gifted to be somewhat strategic in terms of how they chose to solve problems. You will need to avoid analyses that will take too long and which you cannot complete without a calculating aid.

Each of the skills above will be tested in different kinds of question. Be sure to keep a note of which skill in particular has let you down each time you have a problem with a PST question. After a few questions, you should have an idea of where your systematic weak points are and thus where you should focus your efforts to improve via building stronger skills. If your mental math is constantly an issue, go to our mental math article . If you are struggling with identifying root causes, our article on identifying the problem in case studies would be a great place to start.

The important point is that you won't get really good at PST questions simply by doing PST questions - you need to build the right skills! It is worth noting here that our Case Academy teaches precisely the consulting skillset as the McKinsey PST requires (usually case prep systems just teach question-specific frameworks, but we focus on fundamental skills). As such, working through the Academy will not just prep you for case interviews, but also build the full skillset required for the PST. If you are intent on going all the way through the selection process with McKinsey math prep and other aspects of skill building only need to be done once. Two birds with one stone - an efficient use of time!

Chess pieces illustrating the idea of optimising PST preparation and strategy

By now, you will have a good idea of what the McKinsey Problem Solving Test is, what the questions look like and the skills it is assessing. The categorisation of different question types and the methods and tips we have discussed for each already give you the building blocks for a solid prep. However, to make your preparation both as effective and time efficient as possible, you should really begin by making a plan to provide some structure. This will make sure that you don't miss out any key elements and also that you distribute your time sensibly.

As you will have realised by now, the PST is difficult - especially because of the acute time constraints. Having made a plan and diligently practiced all your skills might not actually be enough to pass. You also need to consider your strategy for tackling the test optimally. We have already given a few tips on this, peppered throughout the sections above, but there are also several points on general test management which you will need to know about.

Let's look in more depth both at how you should plan your prep and at your strategy for approaching the McKinsey Problem Solving Test:

Preparation plan

Don't be fooled by those who repeat the old mantra "practice, practice, practice". While practicing is very useful, relying entirely on "brute force" practice with PST sample questions can be remarkably ineffective and a way to set yourself up for failure.

A more sophisticated, more effective prep plan will be made up of the following elements:

1. Skill Building

You need to build your general consulting skillset to be able to reliably perform well on real PST questions. This will never be wasted time, as you will need exactly the same skills in your case interview - and indeed for when you (hopefully) start the job! In particular, given nobody will be starting entirely from scratch on these skills, you need to identify and work on your areas for improvement. As mentioned above, you should take note of where you are underperforming and address your attention there. In particular, you will want to focus on the following:

Numerical Agility

Being able to perform mental math quickly is arguably the single most essential skill required to pass the McKinsey Problem Solving Test. In particular, you will find that the need to make rapid estimates will recur constantly in PST questions. This includes understanding the appropriate degree of approximation as well as getting through calculations quickly. The mental math video in the Efficiency Tools section of the MCC Academy will provide you with all the fundamentals and all the tricks and methods you need to be genuinely quick with numbers and is a great way to get to grips with everything quickly and without missing anything out.

Reading Charts and Solving Problems

Again, the ability to extract information from diagrams and set up and solve mathematical problems are critical to being able to deal with many PST problems. Indeed, the numbers and equations for your mental math must come from somewhere! You will have to read charts in the McKinsey PST and will have to do so under severe time pressure. Similarly, various types of PST question will test your ability to work through problems in an efficient fashion. Our mental math article deals with reading charts. We also cover this whole area in great detail in the MCC Academy course and also include extensive drills in our Beyond Test Ready package.

Identify root causes and draw fact-based conclusions:

Being able to wade through information and identify fundamental causal drivers and synthesise findings into takeaways fully supported by the data are key consulting skills and one which your PST will test across multiple questions. To help you prepare as thoroughly as possible for these, we provide 10 specific sample questions on these areas in each of our Test Ready and Beyond Test Ready packages.

2. Refining

To optimise your performance on the PST, your prep should always include a blend of practice and skill building. Your first step should be to try a practice PST to see where exactly your weak spots are. You should then work on these particular skills using other resources, (such as the articles on this site and the lessons in MCC Academy). You can then return to another practice PST to see how you have progressed and where you should then focus on your next bout of skill building. You should then iterate this process until you are ready to take the PST for real.

It is worth noting that this method also makes sense at a more pragmatic level, as there is only a limited supply of sample PST test papers available to practice with online. This iterative approach, then, has the added benefit of letting you make best possible use of the scarce resource that is PST examples. The skill-specific questions provided in our Beyond Test Ready package also help deal with this lack of practice material and are invaluable in the skill building process.

3. Simulation

Once you have practiced enough, it will be time to step up to simulating the real PST more fully. There is a temptation to skip what might seem like the "theatrics" of a full simulation. However, you cannot just assume that it will all be fine on the day! This is the same rationale for why your high school most likely had you sit full mock exams before important assessments, rather than just rely on class tests etc.

You should replicate the PST test environment as closely as possible. Print out your sample PST test paper, staple it and print out your answer sheet. Find a quiet room and do the test strictly in the allotted time and without a calculator or any other such "contraband". You might feel a bit silly doing all of this, but it really is worth it. Sticking exactly to the rules is the only way to really practice your PST test strategy. Even relatively small things like becoming accustomed to keeping your notes entirely in the booklet and actually filling in the answer sheet at the end will save you precious time in the real PST.

4. Keeping an Error Log

When you run through a practice test with a mark scheme, everything will seem very easy. "Oh, of course, that's exactly what I should have done..." Fast-forward couple of weeks later, though, and you will find yourself staring at a PST question with precisely the same structure, but with no idea of how to solve it.

This is precisely why you need to keep an error log. You might already be familiar with error logs from GMAT prep, but we recommend you extend the practice here. For the uninitiated, an error log is a continuous method of analysing practice problems to identify WHY you answered them incorrectly. In your error log, you should be keeping track of your mistakes and of what you found hardest (even if you got there in the end). As well as using this information to inform where your energy is focussed in skill building, you should also be running through your log frequently to ingrain the lessons you have learnt and generally consolidate your technique.

There is no single correct format for your error log. Some will prefer very organised, detailed logs, whereas others will prefer a more old-fashioned paper record. Really, you should chose whichever method you personally find most convenient, as what is most important is that you actually make consistent use of the log over time.

Whichever way you chose to set out your error log, though, we recommend that each entry should contain the following information.

  • Question type - as per our categorisation above.
  • Reason why you found the question difficult - you might have taken too long to answer or not been able
  • Question and answer choices - record what the question actually was
  • Proposed solution - work out the method which you should ideally have used to solve the question - that is, whichever solution you find quickest and most effective given your own abilities.
  • Key takeaways - what you should learn in order to answer this kind of question more efficiently. For example, you might need to learn how to simplify fractions more rapidly or to improve your quick reading skills.

The "key takeaways" in your error log are what will guide the direction of your prep for the next few days, before you test your abilities again in the iterative manner we described above.

Whilst error logs help to marry skill building and practice - just as any optimised PST prep absolutely must - in forming part of the iterative method we describe above, error logs also take on a more pragmatic function. Whilst the McKinsey problem solving test sample itself is excellent and we at MyConsultingCoach have invested significant time and money into creating and perfecting additional content, this still ultimately adds up to a finite amount of practice material. This unavoidable constraint means that you must work sensibly to squeeze the greatest amount of utility out of what is available.

The amount of practice you are able to do will always be the ultimate bottleneck in any PST prep. Experiencing different questions will both let you take the iterative process of identifying and working on problems areas further, but will also make you less likely to be surprised by something entirely new in the real PST. Access to extra practice material is thus a major driver of increased performance on test day and - ultimately - landing a job. Visit our PST practice page to find out more about extra practice.

PST guide and practice test

Test strategy.

Most McKinsey PST questions are not actually all that conceptually demanding. The real difficulty derives from the extreme time constraint. As we noted above, given three hours with the same PST test paper, everyone would pass. In practice, then, the successful candidates - who go on to get interviews and jobs - might not actually be the most clever or able, but will often simply be those who have been able to manage their time most effectively.

Obviously, we have already explained a whole host of time saving methods for use in different kinds of questions above. Building up your skills will also help get through questions faster - improving your mental math in particular will see significant reductions in your time taken per question.

However, to pass you must also consider your time usage not just individual questions, but for the problems solving test as a whole. In this section, then, we will go over both an overall test time strategy and a consistent strategy to answer PST questions:

1. Test Time Strategy

PST question difficulty varies quite significantly. Some questions are really quite straightforward to the point of being "easy". Others are seemingly impossible. Unfortunately, you can't expect to get a paper with only the easy ones (if only, eh!), but will have a mix of different difficulties across your 26 questions.

To start to optimise your approach, you should combine this realisation as to varying question difficultly with the following two facts we alluded to near the beginning of this article:

  • All questions are worth the same
  • There is no penalty for wrong answers (there is no "negative marking")

Now (as we keep mentioning), you will need to leave at least five minutes at the end to fill in the answer sheet. Of the remaining time, you can allocate two minutes to each of your 26 questions (the maths geniuses amongst you will note that that leaves 3 minutes spare, but you can be assured that they will disappear whether you like it or not).

Given that all the questions are worth the same marks, you simply cannot allow yourself to become bogged down on one particularly tough PST question and leave yourself without time to answer two easy ones. To avoid this, you should keep track of how far through the test you are relative to how much time has elapsed - that is, make sure you are actually getting through questions at a rate of one every two minutes. For instance, if you are 10 minutes in, you should at least be just finishing question five.

If you realise that you've fallen behind because you are stuck on a very hard question, you should not devote more time to it. Simply circle that question and what seem like the two or three most likely answers from your analysis so far.

If you get to the end of the test and have some time left besides that required to fill in the answer sheet, you can go back and look at the question again. Often, coming back and looking with fresh eyes will break you out of an analytic rut. However, if you still simply can't make head nor tail of the question, or if you end up without any more time to devote to it, you should simply pick one of your circled likely-answers at random and put that down on the answer sheet.

Don't feel too bad about this - the PST cuttoff pass mark is around 70%, so you don't need to have gotten everything right. Who knows, your best guess might end up to be the right one anyway! Even if you picked an answer at random it has a 25% chance of being right. An educated guess should have somewhat better odds than that.

2. Question Strategy

We have already said quite a bit above about how you should approach individual kinds of question. However, we can also make some helpful remarks about how you should be approaching each question more generally.

The first fact to note is that whenever you first sit down to a practice test, you will realise that a minimum of 20% of your mistakes are simply due to mis-read questions. Indeed, a great deal of excellent candidates will fail their PST ultimately because they failed to read a critical number of questions properly. It seems absurd when one considers how accomplished the average McKinsey applicant is, that they are effectively let down by their literacy! However, it is true nonetheless and you can see why we so consistently instructed you to carefully read all the different kinds of questions as we ran through them!

One of the main things the McKinsey PST assesses is your ability to deal with "information overload". This happens when you are presented with large volumes of text and/or quantitative data, where only some of it is relevant to the question you have been asked and you must work out which.

This actually simulates a some of the real demands placed on McKinsey's consultants, who will be confronted with all the complexity of the client firm's operation as well as the market it operates in and how it relates to firms up and downstream in its value chain. From here, the consultant must work out which aspects of the operation - and thus which portions of information - are actually salient to the client's question.

How you should proceeds next depends upon whether you have to chose between qualitative or quantitative answers:

Qualitative

Here, you should pursue an iterative method of going back and forth between the questions and the text, eliminating (and then physically crossing out to prevent any future confusion) incorrect answers one-by-one. This is fundamentally a test of your linguistic reasoning, though we have provided various hints and helpful techniques for different kinds of question above. Of course, the most fundamental advice we can give is to read PST questions carefully, but you can also do things like considering what would be true if the exact opposite of the focal statement were true.

Quantitative

You have a couple of options when dealing with quantitative answers, depending upon the specific nature of the question you have been asked. As such, you can chose to do either of the following:

The "Conventional" approach

Here, you simply identify the relevant data and solve the problem directly. Run through all the calculations on paper and then see which of the multiple choice answers matches the solution you generate. This is how you are probably accustomed to tackling problems from your education and will also be the best way to approach many of the questions in your PST

Working "Backwards"

Often, though, you will not have enough time to work through all the calculations required to answer a particular question via the conventional approach. In such cases, you will need to take a more strategic approach. We can do this by effectively working backwards from the answers. This is not as strange a method as it might sound - you simply need to build a framework of the relevant calculation and plug in the suggested answers until you find one that works.

Using this method can save time on multiple counts as, usually once you have found an answer that works, you don't have to take the time out to work through the other options (of course, in an ideal world you would indeed work through the other answers as a means to check for any mistakes on your own part, but time is precious in the PST and "done is better than perfect").

Target with many holes illustrating the PST practice process

Having read this far, you should be well equipped to start preparing to take the McKinsey Problem Solving Test. The first step is to take one or two practice PST test papers . This will let you get a feel for what the tests are actually like generally, but - crucially - will also allow you to start your prep off with an idea of which skills you need to work on, as per our iterative method above.

You can find everything you need on this website or on the McKinsey website. Specifically, here are some PST samples to get you started:

  • MyConsultingCoach McKinsey PST (free)
  • McKinsey PST A (by McKinsey)
  • McKinsey PST B (by McKinsey)
  • McKinsey PST C (by McKinsey)
  • McKinsey PST 2011 version (by McKinsey)
  • McKinsey PST 2001 version (by McKinsey)

Racing cyclist, illustrating the increased PST pass rate for those who use MyConsultingCoach packages

Beyond the free Mckinsey PST practice test linked above, MyConsultingCoach offers fully comprehensive PST packages to take your PST prep to the next level. Of course, you might pass the PST on your own. However, as we have noted, the average candidate only has a 33% chance of passing.

For those using an MCC package, though, that PST pass rate jumps right up to 85%. Given that you must pass the PST to get an interview and be considered for a job, this is a potentially enormous driver of whether you will work for McKinsey or not - that is the overall offer rate.

Whilst this is a premium service and won't ever be for everyone, if you really have a consulting mindset, then you can appreciate that - given the substantively increased likelihood of entry into McKinsey - the investment is more than worth it when balanced even just against the additional pay earned in year one versus a second tier consultancy. This is before we even consider the differences across your whole career and the prestige difference for your resume even if you move into other industries later.

We also stand by our service to the point that, if you don't pass your PST, we will give you half of your money back!

problem solving type test

So, what are you waiting for? Start your prep today and take a step closer to that your dream job with McKinsey!

Following our advice and making use of MyConsultingCoach resources will give you your best chance of success in the PST . Assuming you pass your PST, then, you will have to prep for your interview . As you probably know already, interviews at McKinsey and consultancy firms in general are not like a "normal" interview. The most notable difference is that you will have to solve a case study . This is a business problem which simulates the kind of project a real life consultant would called in to deal with.

As well as a case study, each interview will also have a McKInsey PEI or " fit " component , where your interviewer tests your motivation to succeed as a consultant and establishes whether your character is a good fit for the company. This is closer to the format of more familiar interviews. However, many candidates are ruled out based on their performance in this section, as they either don't prepare for it at all, or treat it too much like a "normal" interview. The demands even in the fit section of a consulting interview are significantly more rigorous than for interviews elsewhere.

In practice, one of the main differences in interviews in consulting and on other industries is the amount of preparation that is required . If you thought McKinsey PST prep was demanding, that was unfortunately just the tip of the iceberg. The stiff competition for McKinsey and other consulting jobs means firms can demand a degree specific preparation from candidates which is not really equalled elsewhere.

This might all sound daunting (frankly, if it doesn't, it should...). Don't worry though - MyConsultingCoach has you covered! This website is packed with articles which will give you solid overview of all the various topics you will need to understand (you can start with our articles on the case and fit interview and work your way out from there) as well as guidance on how to approach your prep in general.

For a more in-depth experience, we have also developed MCC Academy - a fully comprehensive case interview course . MCC Academy teaches the same consulting skillset as you will need for the PST, but in much more depth and applied to the business of cracking case studies. Other case systems simply teach a few formulaic "frameworks", with methods to approach a few common question types. However, this risks leaving you high and dry when the interviewer (as they likely will) gives you a questions that differs from the kinds you have learnt. By focussing on fundamental skills and teaching you to tackle cases in the same way a working consultant would, MyConsultingCoach equips you to cope with whatever your interviewer throws at you . Beyond this, the Academy also includes a set of lessons on how to perform in the fit component of your interview.

If you are serious about consulting in general, it makes sense to start MCC Academy alongside your PST prep , as the shared skillset makes for significant synergy generally and you will be able to use the Academy lessons to brush up your skills for the PST in particular. You will also then have plenty of time for case interview prep and not have to pack it all in after the PST.

Good luck with your prep!

A level of preparation you won't find anywhere else

Reason #1: beat the time pressure.

We developed techniques for each of the six question types in the McKinsey PST that will help you save time and boost your score. From practice, practice, practice to smart practice.

Reason #2: Focus your efforts

Our Performance Radar helps you pinpoint the question types where you need more preparation , enabling you to tailor your training and track your progress. No more random practice.

Reason #3: stretch your potential

Our tests were developed by a team of ex-McKinsey consultants and are constantly reviewed to provide you with the most comprehensive toolkit to succeed. Unlike many resources on the internet , our tests are realistic in their format (26-questions long, like the real PST) and challenging in their content .

We developed a sample, 10-questions free test. We suggest you print out the test and do it on paper to replicate the real test environment

“ The Performance Radar changed the way I prepared for the McKinsey Problem Solving Test: I moved from a random 360-degrees practice to a structured preparation focused on the areas where I was weakest. And those same areas quickly became the ones where I was getting the highest scores. ”

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Single pst #3, frequently asked questions.

When you do not have much time left we suggest you to:

  • Understand how the test is structured : many people fail the PST simply because they don't know it well. You can find all the details about the PST on our PST Guide. You may want to double check the total time, since most offices will give you 60 minutes but some others 70.
  • Develop a solid answering technique : It is essential for you to acquire an answering technique allowing you to make the best use of the very limited time in the test. Our video and the PST Guide will help you a great deal.
  • Practice smart : We advise you to try the official tests on the McKinsey website ( Test A , Test B , and Test C ). If you want to boost your chances our best pick is the Test Ready Package above. You will have the chance to practice on three 26-questions full-length sample PSTs. Then, our Performance Radar will help you identify your weaknesses by translating results in your performance across the 6 PST question types. The PST Guide will teach you useful methods on how to tackle each question type and the 60 additional questions will help you master a sound technique for each of them. In other words nothing will be left off the checklist!

P.S. Do check whether the first round of interviews is immediately after the PST or on a different day. In the former case, we strongly advice you to prepare for case interviews . The Beyond Test Ready package also includes 1 hour of case interviews with our Mentors.

Passing the PST is hard mainly because of the time constraint. If you had 2 hours, you could easily score more than 90% - but you only have 1 hour. It is therefore essential for you to be able to manage time. Please use the video that's on the page.

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Logical Reasoning Tests

Practice tests, solutions, and tips to help you pass employers' logical reasoning tests.

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Updated: 08 April 2024

  • What is a logical reasoning test?

A logical reasoning test is used measure a candidate’s problem solving ability. They assess the ability to come to conclusions based on logic. You are presented with a series of shapes and are required to find patterns and rules to help you find the correct answer. These tests may be encountered for any position at any level of recruitment, but they may be particularly common when recruiting for positions which require significant problem solving ability or higher use of logic.

What is an example of logical reasoning?

Here are screenshots of our logical reasoning tests to understand what an example question involves:

screenshot of logical reasoning test 1

Page contents:

  • How we can help with logical tests
  • Logical reasoning tutorial - Part 1
  • Free logical reasoning tests
  • Logical reasoning tutorial - Part 2

Different types of logical reasoning

  • Most common logical reasoning tests
  • Logical reasoning test advice

Logical reasoning FAQs

How assessmentday can help with logical reasoning tests.

AssessmentDay offer numerous types of logical reasoning test which can help you perform to your best in the real thing. Practising logical reasoning tests is an ideal method of preparation as it allows you to learn from your mistakes, improving performance with every practice trial. Similarly experiencing time limits, the test layout and the overall test experience can help ease worries and anxieties about the test by familiarising yourself with them. It goes without saying that a candidate that has undertaken a logical reasoning test numerous times and seen their prior mistakes, and learned from them will be less nervous than a first time test candidate.

Logical Reasoning Video Tutorial - Part 1

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Free practice logical reasoning tests

Free logical reasoning test 1.

This free logical reasoning test contains 10 questions and has a time limit of 70 seconds per question .

Free Logical Reasoning Test 2

Logical reasoning test 1.

  • 12 questions

Logical Reasoning Test 2

Logical reasoning test 3, logical reasoning test 4, logical reasoning video tutorial - part 2.

youtube video

There are numerous types of logical reasoning test, and many of these are used interchangeably. These tests tend to be similar in their layout and methodology, but with subtle and important differences.

Survey results

We analysed a sample of logic-based tests, to find the most common terms/most popular type was: Inductive reasoning

Here is a breakdown of the most common logical ability tests:

  • Inductive reasoning: - Inductive reasoning is the ability to reach general conclusion based on perceived patterns observed in specific events. Inductive logic is often used in everyday life and is therefore practical to a work place environment. In these tests candidates will be provided with a series of diagrams with an evident pattern. Candidates will need to identify the pattern in the sequence of diagrams and select the next diagram in the sequence.
  • Deductive reasoning: - Deductive reasoning involves a general rule or principle that leads to a specific conclusion. These tests will evaluate and measure a candidate's ability to make logical arguments and draw sound conclusions based on provided data, as well as identify flaws in a piece of information. As a result this is a useful tool in selection procedures as this type of reasoning will be used in the workplace. This type of reasoning will often be used in verbal reasoning tests and numerical tests, and is therefore very likely to be encountered in recruitment processes.
  • Abstract reasoning: - Abstract reasoning, also known as conceptual reasoning measures your lateral thinking ability. In these tests candidates will be tested on their ability to identify relationships, patterns and trends. Candidates will be provided with a series of images that follow a logical sequence or underlying rules. This may include following a rule in a sequence, identifying a code or finding a missing diagram.
  • Diagrammatic reasoning: - Diagrammatic reasoning is a specific form of abstract reasoning. Tests which assess this ability will typically show a flowchart of diagrams and symbols, with an input and an output. Candidates will need to identify which inputs effect diagrams, and therefore generate a specific output based on those rules.
  • Critical thinking: - Critical thinking tests are a type of verbal critical reasoning task which assesses various different types of logical reasoning in arguments, assumptions and conclusions. Typical logical abilities tested include analysing arguments, making inferences and evaluating conclusions.

The most common logical reasoning tests used by employers

Did you know.

Different test publishers use different names for their assessments. The term logical reasoning is used by TalentQ. Other companies may call their test abstract, inductive, or diagrammatic reasoning. It is good advice when being asked to sit a logical reasoning test to speak to the person who invited you and ask for a bit more detail; they may even give you a few example questions so you know what to expect.

Our 2020 study asked candidates about their logical reasoning test experience, in doing so we managed to find the most popular test publishers from our sample:

  • 1. Talent Q Elements Logical Ability - the important feature of these tests is that they are adaptive. That is to say the difficulty of each question is automatically determined by your performance in the previous question. So the questions become more difficult as you progress in order to quickly find your level of logical reasoning ability. There are typically 12 questions to these TalentQ logical tests and a time limit of 75 seconds per question.
  • 2. Kenexa Logical Reasoning - this test published by Kenexa is actually very similar in style to what SHL call an inductive reasoning test. They are effectively the same thing; the candidate is asked to select which diagram fits within the given series from a choice of five options. Typically Kenexa will give the candidate 20 minutes for 24 questions for their logical reasoning test.
  • 3. Ravens Progressive Matricies (Ravens APM / Ravens SPM) - The grid-style of symbols each following a pattern is also used in the Ravens Progressive Matrices assessments. With Raven's logical test, there are two levels of this test: Advanced Progressive Matrices (23 questions, 42 minutes) and Standard Progressive Matrices (28 questions, 47 minutes). Our logical tests are suitable for Raven's APM-III and Raven's SPM tests, you can alter the time limit with of our tests to create a more authentic experience.

General logical reasoning test advice

Although all tests evaluate a specific logical ability, or set of abilities, there are general strategies which can be applied to ensure maximum performance in a logical reasoning test.

Here is a list of useful tips and advice for logical reasoning tests:

  • 1. Stay calm: - Logical reasoning tests of all kinds can be nerve racking, particularly ones which are time limited. As a result it is important to stay calm as to allow optimum performance during your exam. A small amount of anxiety can be a performance booster, maximise focus and therefore performance. However, serious test anxiety can severely hamper performance. Proper practice, enough sleep the night before and deep and regular breathing can all help settle your nerves, and perform to your best on the day of your test.
  • 2. Research the type of test: - Learning as much about the test beforehand can help you dive straight into the test once you have received it, saving you time. Similarly after researching the test, and the logical abilities which it assesses, can help you hone these skills and ensure you demonstrate the particular aptitude required for the test, optimising your performance.
  • 3. Clarify what type of test: - If an employer states that you will need to undertake a logical reasoning test, it is important to gauge what type of logical reasoning will be tested due to the broad nature of logical reasoning. Don’t be afraid to ask for clarification to identify which logical reasoning test will be used, and which logical reasoning skill will be tested as this information will be invaluable for your pre test preparation.
  • 4. Figure out the answer first: - A general tip for logical reasoning tests is to figure out the correct answer/sequence/rule before looking at the multiple choices. This way once you have an idea in your head of the correct answer, you can simply pick it out. If you look at the multiple choice answers first, you will be more inclined to pick the answer which best looks like the correct answer, rather than take the time to evaluate it logically. Your logic will be subject to more bias if you base your answer on which answer seems correct on face value, instead of evaluating it using the logical skills being tested.
  • For more advice on logical reasoning tests, check out our logical reasoning tips where we go through an example question and give you advice on how to pass logical tests.

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Yes, logical reasoning is a skill just like numerical reasoning which can be developed and practised. Some people will naturally be talented with logical reasoning and be able to solve logical puzzles much easier than others. Logical reasoning involves being able to solve logic puzzles and draw conclusions from patterns.

Logical reasoning is important for your ability to solve problems and generate creative ideas. It's this reason that many employers use logical reasoning tests in their application process.

The best way to practise logic skills is by using logical reasoning tests. These will provide the best practise as they directly involve all the skills needed in solving logic problems. You can also practise things like word puzzles or any kind of puzzle that requires you to identify patterns to find answers.

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A Quick Puzzle to Test Your Problem Solving

By DAVID LEONHARDT and YOU JULY 2, 2015

A short game sheds light on government policy, corporate America and why no one likes to be wrong. Related Article

problem solving type test

Here’s how it works:

We’ve chosen a rule that some sequences of three numbers obey — and some do not. Your job is to guess what the rule is.

We’ll start by telling you that the sequence 2, 4, 8 obeys the rule:

Obeys the rule

Now it’s your turn. Enter a number sequence in the boxes below, and we’ll tell you whether it satisfies the rule or not. You can test as many sequences as you want.

Enter your first sequence here:

I don't want to play; just tell me the answer.

Guess wrong

The answer was extremely basic. The rule was simply: Each number must be larger than the one before it. 5, 10, 20 satisfies the rule, as does 1, 2, 3 and -17, 14.6, 845. Children in kindergarten can understand this rule.

But most people start off with the incorrect assumption that if we’re asking them to solve a problem, it must be a somewhat tricky problem. They come up with a theory for what the answer is, like: Each number is double the previous number. And then they make a classic psychological mistake.

They don’t want to hear the answer “no.” In fact, it may not occur to them to ask a question that may yield a no.

Remarkably, 80 percent of people who have played this game so far have guessed the answer without first hearing a single no. A mere 7 percent heard at least three nos — even though there is no penalty or cost for being told no, save the small disappointment that every human being feels when hearing “no.”

It’s a lot more pleasant to hear “yes.” That, in a nutshell, is why so many people struggle with this problem.

Confirmation Bias

This disappointment is a version of what psychologists and economists call confirmation bias. Not only are people more likely to believe information that fits their pre-existing beliefs, but they’re also more likely to go looking for such information. This experiment is a version of one that the English psychologist Peter Cathcart Wason used in a seminal 1960 paper on confirmation bias. (He used the even simpler 2, 4 and 6, rather than our 2, 4 and 8.)

Most of us can quickly come up with other forms of confirmation bias — and yet the examples we prefer tend to be, themselves, examples of confirmation bias. If you’re politically liberal, maybe you’re thinking of the way that many conservatives ignore strong evidence of global warming and its consequences and instead glom onto weaker contrary evidence. Liberals are less likely to recall the many incorrect predictions over the decades, often strident and often from the left, that population growth would create widespread food shortages. It hasn’t.

This puzzle exposes a particular kind of confirmation bias that bedevils companies, governments and people every day: the internal yes-man (and yes-woman) tendency. We’re much more likely to think about positive situations than negative ones, about why something might go right than wrong and about questions to which the answer is yes, not no.

Sometimes, the reluctance to think negatively has nothing to do with political views or with a conscious fear of being told no. Often, people never even think about asking questions that would produce a negative answer when trying to solve a problem — like this one. They instead restrict the universe of possible questions to those that might potentially yield a “yes.”

Government Policy

In this exercise, the overwhelming majority of readers gravitated toward confirming their theory rather than trying to disprove it. A version of this same problem compromised the Obama administration’s and Federal Reserve’s (mostly successful) response to the financial crisis. They were too eager to find “green shoots” of economic recovery that would suggest that the answer to the big question in their minds was, just as they hoped and believed: “Yes, the crisis response is aggressive enough, and it’s working.” More damaging was the approach that President George W. Bush’s administration, and others, took toward trying to determine whether Iraq had weapons of mass destruction a decade ago — and how the Iraqi people would react to an invasion. Vice President Dick Cheney predicted in 2003, “We will, in fact, be greeted as liberators.”

Corporate America

Corporate America is full of more examples. Executives of Detroit’s Big Three didn’t spend enough time brainstorming in the 1970s and 1980s about how their theory of the car market might be wrong. Wall Street and the Fed made the same mistake during the dot-com and housing bubbles. To pick an example close to home, newspapers didn’t spend enough time challenging the assumption that classified advertisements would remain plentiful for decades.

One of the best-selling business books in history — about negotiation strategy — is “Getting to Yes.” But the more important advice for us may instead be to go out of our way to get to no. When you want to test a theory, don’t just look for examples that prove it. When you’re considering a plan, think in detail about how it might go wrong.

Some businesses have made this approach a formal part of their decision-making: Imagine our strategy has failed; what are the most likely reasons it did? As Jason Zweig has written in The Wall Street Journal, “Gary Klein, a psychologist at Applied Research Associates, of Albuquerque, N.M., recommends imagining that you have looked into a crystal ball and have seen that your investment has gone bust.”

When you seek to disprove your idea, you sometimes end up proving it — and other times you can save yourself from making a big mistake. But you need to start by being willing to hear no. And even if you think that you are right, you need to make sure you’re asking questions that might actually produce an answer of no. If you still need to work on this trait, don’t worry: You’re only human.

Guess right

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This test evaluates the candidate’s problem-solving skills across various business functionalities.

Skills measured

  • Client Management
  • Decision Making
  • Customer Escalation
  • Stakeholder Management

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Cognitive Ability

About the Problem Solving test

This test evaluates the candidate’s problem-solving skills across various business functionalities. 

The capacity to solve problems under pressure is a crucial skill to look for in any candidate. It is common for problems to occur in businesses. But how a candidate analyzes the problem and solves the issue differentiates them from other applicants. Problem-solving tests are an excellent tool for assessing a candidate’s analytical skills when presented with complex situations.

This test poses the candidates with potential issues that might arise in different business areas and queries how they would respond in the given situations. The questions force the candidate to think from the point of view of a specified role and gauge how well they resolve the problem successfully with everyone’s best interests in mind.

When recruiting candidates to fill positions in management, operations, and logistics, assessing their problem-solving skills is essential as they are often faced with situations requiring quick reasoning ability to resolve the issue without affecting the reputation of the company. Candidates who clear this test are good at thinking critically, managing clients and stakeholders, handling customers, and making appropriate decisions. The test can identify real talents who possess the capability to create short-term and long-term solutions for problems that might obstruct a company from achieving its goals.

Relevant for

  • Project leadership
  • Team leadership
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Recruiting for Problem Solving

For candidates with good problem-solving abilities, the traditional method of assessing their skills by questioning them about their previous experiences can be inaccurate, and recruiters can lose promising talents. Additionally, cognitive bias may arise while evaluating soft skills during personal interviews. An objective problem-solving test is designed to assess without bias various skills such as:

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Customer satisfaction.

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Customer assistance or client management often involves addressing a critical problem or grievance and are key areas determining the success of a business. It requires careful consideration of an issue’s cause and effect and the consequences of the actions taken to resolve it.

Making appropriate situational decisions with the given resources is a vital problem-solving skill. A candidate should make suitable choices after identification and careful consideration of the problem, thinking about the possible solutions and repercussions of the issue.

Problem-solving skills include the ability to identify situations requiring escalation and take appropriate actions. In addition to providing solutions, it is a necessary skill to guide and redirect customers to experienced agents who can help them better.

Managing stakeholders requires knowledge about the interests of different parties involved and careful coordination to minimize damages to the overall business. Satisfied stakeholders are critical to the long-term sustainability of any project, and extensive problem-solving skills are required to handle them.

The Problem Solving test is created by a subject-matter expert

Testlify’s skill tests are designed by experienced SMEs (subject matter experts). We evaluate these experts based on specific metrics such as expertise, capability, and their market reputation. Prior to being published, each skill test is peer-reviewed by other experts and then calibrated based on insights derived from a significant number of test-takers who are well-versed in that skill area. Our inherent feedback systems and built-in algorithms enable our SMEs to refine our tests continually.

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Top five hard skills interview questions for Problem Solving

Here are the top five hard-skill interview questions tailored specifically for Problem Solving. These questions are designed to assess candidates’ expertise and suitability for the role, along with skill assessments.

1. Can you walk me through your process for solving complex problems?

Why this matters.

Problem-solving is a critical skill in any business or technical role, and a skilled problem solver should have a well-defined process for approaching complex problems.

What to listen for?

Listen for the candidate to describe a structured approach to problem-solving, including how they define the problem, gather information, analyze data, generate potential solutions, evaluate those solutions, and implement the best one. Look for examples of how the candidate has used this process to solve complex problems in the past.

2. How do you handle situations where you don’t have all the information you need to solve a problem?

Problem-solving often involves incomplete or ambiguous information, and a skilled problem solver should be able to handle those situations effectively.

Listen for the candidate to describe their approach to handling incomplete or ambiguous information, including how they identify gaps in their knowledge, how they gather additional information, and how they make assumptions and test those assumptions. Look for examples of how the candidate has successfully solved problems with incomplete information.

3. Can you describe a particularly challenging problem you solved and how you approached it?

This question allows the candidate to showcase their problem-solving abilities and provides insight into their problem-solving process.

Listen for the candidate to describe a particularly challenging problem they solved, and how they approached it. Look for examples of how the candidate defined the problem, identified potential solutions, evaluated those solutions, and implemented the best one. Also, listen for how the candidate communicated their solution to stakeholders and how they measured the success of their solution.

4. How do you prioritize and manage multiple competing problems or projects?

Effective problem solvers should be able to prioritize and manage multiple competing priorities to maximize productivity and efficiency.

Listen for the candidate to describe their process for prioritizing and managing multiple competing problems or projects. Look for examples of how they’ve managed complex projects and how they’ve dealt with competing demands for their time and attention. Also, listen for how the candidate balances short-term and long-term priorities.

5. Can you give an example of a problem you encountered that required you to think outside the box to find a solution?

Innovative thinking and creativity can be valuable assets in problem-solving, and this question helps assess those skills.

Listen for the candidate to describe a problem that required them to think outside the box to find a solution. Look for examples of how they generated unique and creative solutions, and how they tested and refined those solutions. Also, listen for how the candidate communicated their solution to stakeholders and how they evaluated the success of their solution.

Frequently Asked Questions for Problem Solving

What is problem solving assessment.

A problem-solving assessment is a process used to evaluate an individual’s ability to identify and solve problems in a systematic and logical manner. It may be conducted as part of a job application process, in order to determine whether a candidate has the necessary skills and experience to perform a particular role.

How to use Problem Solving assessment for hiring?

What roles can be covered in the problem solving assessment, what topics are covered in the problem solving assessment, why is problem solving important.

  • It helps to improve decision-making: Problem-solving involves gathering and analyzing information, evaluating options, and making decisions based on that information. This process helps to ensure that decisions are based on sound reasoning and evidence, rather than being made impulsively or based on assumptions.
  • Effective problem-solving is crucial for achieving both personal and organizational goals. By identifying and addressing obstacles and challenges, individuals and organizations can move forward and make progress toward their objectives.

Frequently asked questions (FAQs)

Want to know more about Testlify? Here are answers to the most commonly asked questions about our company.

Can I try a sample test before attempting the actual test?

Yes, Testlify offers a free trial for you to try out our platform and get a hands-on experience of our talent assessment tests. Sign up for our free trial and see how our platform can simplify your recruitment process.

How can I select the tests I want from the Test Library?

To select the tests you want from the Test Library go to the Test Library page and browse tests by categories like role-specific tests, Language tests, programming tests, software skills tests, cognitive ability tests, situational judgment tests, and more. You can also search for specific tests by name.

Ready-to-go tests are pre-built assessments that are ready for immediate use, without the need for customization. Testlify offers a wide range of ready-to-go tests across different categories like Language tests (22 tests), programming tests (57 tests), software skills tests (101 tests), cognitive ability tests (245 tests), situational judgment tests (12 tests), and more.

Can you integrate with our existing ATS?

Yes, Testlify offers seamless integration with many popular Applicant Tracking Systems (ATS). We have integrations with ATS platforms such as Lever, BambooHR, Greenhouse, JazzHR, and more. If you have a specific ATS that you would like to integrate with Testlify, please contact our support team for more information.

What are the basic technical requirements needed to take your tests?

Testlify is a web-based platform, so all you need is a computer or mobile device with a stable internet connection and a web browser. For optimal performance, we recommend using the latest version of the web browser you’re using. Testlify’s tests are designed to be accessible and user-friendly, with clear instructions and intuitive interfaces.

Are your tests valid and reliable?

Yes, our tests are created by industry subject matter experts and go through an extensive QA process by I/O psychologists and industry experts to make sure that the tests have a good reliability and validity and give accurate results.

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problem solving type test

85 Tricky Riddles for Adults That Will Really Test Your Knowledge

These brain-teasers range from super easy to downright mind-boggling.

preview for The Best Dad Jokes Of All Time

We've got plenty of clever, hard and downright mind-boggling brain-teasers for you to solve. But if you're looking for something a little easier, we also got a ton of kid-friendly riddles you can figure with your children. There are also plenty of math riddles , too, which will come in handy as icebreakers during work meetings, in the classroom or at a party.

And don't think we just left you hanging with these questions. All of the answers to the mysteries are included.

Be sure to let us know which was your favorite in the comments below!

what has a neck but no head a bottle

Easy Riddles

Q: What 5-letter word typed in all capital letters can be read the same upside down?

Q: The more you take, the more you leave behind. What am I?

A: Footsteps.

Q:David's father has three sons: Snap, Crackle, and _____?

Q: What is more useful when it is broken?

Q: I am easy to lift, but hard to throw. What am I?

A: A feather.

Q: Where do you take a sick boat?

A: To the dock-tor.

Q: Which fish costs the most?

A: A goldfish.

Q: What goes up, but never comes down?

Q: A cowboy rode into town on Friday. He stayed for three nights and rode out on Friday. How is this possible?

A: His horse's name is Friday.

Q: What has a neck but no head?

A: A bottle

Q: What is full of holes but still holds water?

A: A sponge

Q: How do you spell COW in thirteen letters?

A: SEE O DOUBLE YOU.

Q: Why is Europe like a frying pan?

A: Because it has Greece at the bottom.

Math Riddles

i am an odd number take away a letter and i become even what number am i seven

Q: If 2 is company and 3 is a crowd, what are 4 and 5?

Q: I add 5 to 9 and get 2. The answer is correct, so what am I?

A: A clock. When it is 9 a.m., adding 5 hours would make it 2 p.m.

Q: Rachel goes to the supermarket and buys 10 tomatoes. Unfortunately, on the way back home, all but 9 get ruined. How many tomatoes are left in a good condition?

Q: What is 3/7 chicken, 2/3 cat, and 2/4 goat?

A: Chicago!

Q: If a zookeeper had 100 pairs of animals in her zoo, and two pairs of babies are born for each one of the original animals, then (sadly) 23 animals don’t survive, how many animals do you have left in total?

A: 977 animals (100 x 2 = 200; 200 + 800 = 1000; 1000 – 23 = 977)

Q: I saw my math teacher with a piece of graph paper yesterday.

A: I think he must be plotting something.

Q: If you multiply this number by any other number, the answer will always be the same. What number is this?

Q: I am an odd number. Take away a letter and I become even. What number am I?

Q: What 3 numbers give the same result when multiplied and added together?

A: 1, 2, and 3 (1 + 2 + 3 = 6 and 1 x 2 x 3 = 6).

Q: What's a single-digit number with no value?

Q: A tree doubled in height each year until it reached its maximum height over the course of ten years. How many years did it take for the tree to reach half its maximum height?

A: Nine years.

Funny Riddles

Q: How can you drop a raw egg from a height onto a concrete floor without cracking it?

A: Concrete floors are very hard to crack.

Q: Pronounced as 1 letter, And written with 3, 2 letters there are, and 2 only in me. I’m double, I’m single, I’m black blue, and gray, I’m read from both ends, and the same either way. What am I?

Q: Who has married many women but was never married?

A: The priest

Q: Forward, I am heavy; backward, I am not. What am I?

Q: What can you hold in your right hand, but never in your left hand?

A: Your left hand.

Q: If two snakes marry, what will their towels say?

A: Hiss and hers

Q: What does a man do only once in his lifetime, but women do once a year after they are 29?

Hard Riddles

what has hands but cannot clap a clock

Q: Four cars come to a four-way stop, each coming from a different direction. They can’t decide who got there first, so they all go forward at the same time. All 4 cars go, but none crash into each other. How is this possible?

A: They all made right-hand turns.

Q: I have a head like a cat and feet like a cat, but I am not a cat. What am I?

A: A kitten.

Q: Who makes it, has no need of it. Who buys it, has no use for it. Who uses it can neither see nor feel it. What is it?

A: A coffin.

Q: What has hands but cannot clap?

A: A clock.

Q: Paul's height is six feet, he's an assistant at a butcher's shop, and wears size 9 shoes. What does he weigh?

Q: What gets broken without being held?

A: A promise.

Q: Poor people have it. Rich people need it. If you eat it you die. What is it?

A: Nothing.

Q: What is the longest word in the dictionary?

A: Smiles, because there is a mile between each ‘s’.

Q: Throw away the outside and cook the inside, then eat the outside and throw away the inside. What is it?

A: Corn on the cob.

Q: What is at the end of a rainbow?

A: The letter W!

Q: What kind of tree can you carry in your hand?

Q: They come out at night without being called, and are lost in the day without being stolen. What are they?

Q: What is always in front of you, but can’t be seen?

A: The future.

Q: You’ll find me in Mercury, Earth, Mars, Jupiter, Saturn, and Uranus. But never Neptune, or Venus. What am I?

A: The letter “R”.

Q: How many months have 28 days?

A: Every month has 28 days.

Q: I can be cracked, made, told, and played. What am I?

Q: I cannot talk, but I always reply when spoken to. What am I?

A: An echo.

Q: When is the top of a mountain similar to a savings account?

A: When it peaks one’s interest.

Q: A man goes out for a walk during a storm with nothing to protect him from the rain. He doesn’t have a hat, a hood, or an umbrella. But by the end of his walk, there isn’t a single wet hair on his head. Why doesn’t the man have wet hair?

A: He’s bald.

Q: I love to dance, and twist. I shake my tail as I sail away. When I fly wingless into the sky. What am I?

Q: When you stop to look, you can always see me. But if you try to touch me, you can never feel me. Although you walk towards me, I remain the same distance from you. What am I?

A: The horizon

Q: You see a boat filled with people. It has not sunk. But when you look back, you don’t see a single person on the boat. Why?

A: All the people on board are married.

Q: What is it that no one wants to have, but no one wants to lose either?

A: A lawsuit.

Q: I welcome the day with a show of light, I stealthily came here in the night.I bathe the earthy stuff at dawn, But by noon, alas! I'm gone.

A: The morning dew.

Q: What goes through cities and fields, but never moves?

Q: What can be touched but can't be seen?

A: Someone’s heart.

Q: In a bus, there is a 26-year-old pregnant lady, a 30-year-old policeman, a 52-year-old random woman, and the driver who is 65 years old. Who is the youngest?

A: The baby of the pregnant lady.

Q: When it is alive we sing, when it is dead we clap our hands. What is it?

A: A birthday candle.

Q: What can go through glass without breaking it?

Q: What gets bigger the more you take away?

Q: I have no life, but I can die. What am I?

A: A battery.

Q: What kind of room has no walls, door or windows?

A: A mushroom.

Q: It belongs to you, but your friends use it more. What is it?

A: Your name.

Q: What 2 things can you never eat for breakfast?

A: Lunch and dinner.

Q: I make a loud sound when I’m changing. When I do change, I get bigger but weigh less. What am I?

A: Popcorn.

Q: It has keys, but no locks. It has space, but no room. You can enter, but can’t go inside. What is it?

A: A keyboard.

Q: I’m orange, I wear a green hat and I sound like a parrot. What am I?

A: A carrot.

Q: What runs all around a backyard, yet never moves?

A: A fence.

Q: Take off my skin - I won't cry, but you will! What am I?

A: An onion.

Q: What invention lets you look right through a wall?

A: A window.

Q: What is always on its way but never arrives?

A: Tomorrow.

Q: Two girls were born to the same mother, on the same day, at the same time, in the same month and year, and yet they're not twins. How can this be?

A: The two babies are two of a set of triplets.

Q: What has a bottom at the top?

A: Your legs.

Q: What can you catch but never throw?

Q: What has many teeth but cannot bite?

Q: What has branches, but no fruit, trunk, or leaves?

Q: What thrives when you feed it but dies when you water it?

Q: What do you buy to eat but never consume?

A: Cutlery.

Q: Two fathers and two sons are in a car, yet there are only three people in the car. How?

A: They are grandfather, father, and son.

Q: A bus driver goes the wrong way down a one-way street. He passes the cops, but they don’t stop him. Why?

A: He was walking.

Q: If an electric train is traveling south, then which way is the smoke going?

A: There is no smoke—it's an electric train.

Q: Where is the only place where today comes before yesterday?

A: The dictionary.

Q: What can you put in a bucket to make it weigh less?

Q: How can kids drink beer and not get drunk?

A: By sticking to root beer.

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IMAGES

  1. 10 Problem Solving Skills Examples: How To Improve

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  2. Problem Solving Practice Test

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  4. Advanced Problem Solving Test: Questions and Answers

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  5. Problem Solving Test Practice: Questions and Answers!

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VIDEO

  1. English 5 Problem and Solution Text Types

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  3. NLPP Problem solving| Type 2:With N Variable & one equality constraint #nlpp #m4 #engineering

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COMMENTS

  1. Different Problem-Solving Styles: What Type of Problem Solver Are You

    It is classic inconsistent-type behavior to lose time dithering between all three ideas, lost in indecision. Instead, write them down in a chart. Then, give each one a score out of 5 according to its strength in whatever categories are relevant to the problem. For example, expense, time, elegance, effort.

  2. Problem Solving Skills Test

    The test requires candidates to identify the right answers to the questions in a limited amount of time. Successful candidates can quickly identify the key elements of the problem and work through the problem at speed without making mistakes. This is a great test to include to check candidates' overall analytical skills. Explore the test science.

  3. Test Types & Their Strategies

    Once you've engaged in this multi-level preparation, it can be helpful to have test-taking strategies that are specific to the types of questions you'll be asked. Read on for strategies you can use in multiple choice tests, essay question tests, and problem solving tests, too. MULTIPLE CHOICE TESTS.

  4. Problem Solving Skills Test

    Step 1: Find the Problem. (Questions 7, 12) Your score is 0 out of 0. Some problems are very obvious, however others are not so easily identified. As part of an effective problem-solving process, you need to look actively for problems - even when things seem to be running fine.

  5. How Good Is Your Problem Solving?

    Problem solving is an exceptionally important workplace skill. Being a competent and confident problem solver will create many opportunities for you. By using a well-developed model like Simplexity Thinking for solving problems, you can approach the process systematically, and be comfortable that the decisions you make are solid.

  6. Test Your Problem-Solving Skills

    Test Your Problem-Solving Skills. Personalize Your Emails Personalize your monthly updates from BrainFacts.org by choosing the topics that you care about most! Sign Up Find a Neuroscientist Engage local scientists to educate your community about the brain. ...

  7. Logical Reasoning Tests: 2024 Guide for Logic Tests

    Logical reasoning tests assess a candidate's ability to solve problems logically. Problem-solving is an essential part of many roles, meaning that logical tests are often included as part of an employer's recruitment process. There are a variety of types of logical reasoning tests, each focusing on assessing a different type of logic used in ...

  8. McKinsey PST: Question Types, Study Plan & Mock Tests

    The McKinsey Problem Solving Test (or PST) is a paper-based test used at McKinsey & Company to select candidates for the case interviews. The PST is conducted after resume screening; it has 6 types of question, testing the candidate on 3 crucial problem-solving skills - data interpretation, mental calculations and logical reasoning.

  9. McKinsey Problem Solving Test Practice Test A

    Practice Test Overview and Instructions This practice test has been developed to provide a sample of the actual McKinsey Problem Solving Test used for selection purposes. This test assesses your ability to solve business problems using deductive, inductive, and quantitative reasoning. This practice test contains a total of 26 questions.

  10. Logical Reasoning Test: 100s Of Free Practice Questions (2024)

    Logical reasoning tests are a type of psychometric test used to measure your problem-solving skills. They come in various forms, but all have the underlying purpose of assessing your logical aptitude and your ability to draw conclusions from a given set of information. ... Lastly, be sure to practice the right type of test. Ask your prospective ...

  11. Problem Solving test factsheet

    Psychometric properties of the Problem Solving test. The metrics reported below are based on a sample size (N) of at least 1,000 candidates unless indicated otherwise. Reliability: Cronbach's alpha coefficient = .72. Face validity: Candidates rated this test as accurately measuring their skills (average score of 3.88 out of 5.00).

  12. Creative Problem-Solving Test

    This Creative Problem-solving Test was developed to evaluate whether your attitude towards problem-solving and the manner in which you approach a problem are conducive to creative thinking. This ...

  13. What is Problem Solving? Steps, Process & Techniques

    Finding a suitable solution for issues can be accomplished by following the basic four-step problem-solving process and methodology outlined below. Step. Characteristics. 1. Define the problem. Differentiate fact from opinion. Specify underlying causes. Consult each faction involved for information. State the problem specifically.

  14. Analytical Reasoning Tests: Free Online Questions & Tips

    Analytical reasoning tests examine an individual's ability to apply logic to solve problems. The questions vary depending on the type of analytical reasoning test you're taking: from extracting key information from complex passages of text (verbal reasoning), to looking for patterns in a series of images (non-verbal reasoning), or using given information to draw conclusions or make ...

  15. McKinsey PST: a comprehensive guide

    McKinsey PST: an adaptive learning approach to pass the test The McKinsey Problem Solving Test (McKinsey PST) is a data interpretation and critical number reasoning test used by McKinsey to select candidates to be admitted to the first round of case interviews.The use of the PST is the main difference between the McKinsey recruiting process and those of its main competitors.

  16. Logical Reasoning Tests, Free Online Practice Tests (2024)

    A logical reasoning test is used measure a candidate's problem solving ability. They assess the ability to come to conclusions based on logic. ... Research the type of test: - Learning as much about the test beforehand can help you dive straight into the test once you have received it, saving you time. Similarly after researching the test ...

  17. How to Ace a Problem Solving Skills Test: Tips and Strategies

    2 Prepare and practice. If you want to ace a problem solving skills test, the best way to prepare is to review the test format, instructions, and time limit. This will give you an idea of what ...

  18. Problem-Solving Exams

    The exam will likely test your ability to apply what you've learned about solving problems to new types of questions, rather than your ability to memorize and regurgitate examples you've already seen. Focus on the process the instructor used for solving the problem. Think about your own problem-solving strategies. Practise, practise, practise!

  19. PDF McKinsey Problem Solving Test Top Tips

    problem solving and how well you can size up a situation. McKinsey is more interested in . how you think. than in how much you've memorized. Here are a few important things you should know about the test: This is not a math test. Most work at McKinsey involves data, and data is a big part of the test. But only some of the questions involve math.

  20. A Quick Puzzle to Test Your Problem Solving

    The answer was extremely basic. The rule was simply: Each number must be larger than the one before it. 5, 10, 20 satisfies the rule, as does 1, 2, 3 and -17, 14.6, 845. Children in kindergarten ...

  21. Problem Solving test

    The Problem Solving test is created by a subject-matter expert. Testlify's skill tests are designed by experienced SMEs (subject matter experts). ... With a diverse test library boasting 1000+ tests, and features such as custom questions, typing test, live coding challenges, google suit questions and psychometric tests, finding the perfect ...

  22. PISA Test

    Questions from the OECD PISA test in 2018, 2015 and 2012. Also includes information on test criteria. Toggle navigation. Follow us. English Follow us. English Home; About ... Science and Collaborative Problem Solving Items (Field Trial) pdf. Science and Collaborative Problem Solving Items - interactive Items. PISA 2012. Mathematics Items ...

  23. Guidelines for The Construction of Multiple Choice Questions Tests

    Multiple Choice Questions (MCQs) are generally recognized as the most widely applicable and useful type of objective test items. They could be used to measure the most important educational outcomes - knowledge, understanding, judgment and problem solving. The objective of this paper is to give guidelines for the construction of MCQs tests.

  24. 85 Best Riddles for Adults (with Answers): Easy, Clever and Hard

    A: Seven. Q: What 3 numbers give the same result when multiplied and added together? A: 1, 2, and 3 (1 + 2 + 3 = 6 and 1 x 2 x 3 = 6). Q: What's a single-digit number with no value? A: Zero. Q: A ...