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30 Brain-Boosting Mathematical Logic And Reasoning Questions For Kids | 2024 Reveals

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Thorin Tran • 01 February, 2024 • 7 min read

Looking for reliable means to test your children’s mathematics and critical thinking abilities?

Check out our curated list of mathematical logic and reasoning questions - kids’ edition! Each of the 30 questions is designed to engage young minds, sparking curiosity and cultivating a love for knowledge. 

Our goal with this post is to provide a resource that is not only educational but also enjoyable for kids. Learning should be fun, and what better way to learn than through puzzles and games that challenge the mind?

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Table of Contents

What is mathematical logic and reasoning, mathematical logic and reasoning questions for kids (answers included).

• What are the 7 types of mathematical reasoning?

To Conclude

Mathematical logic and reasoning are all about using logical thinking to solve math problems. It's like being a detective in the world of numbers and patterns. You use math rules and ideas to figure out new things or solve tricky challenges. It's a different approach to math besides doing calculations. 

Mathematical logic explains how mathematical arguments are built and how you can move from one point to another in a logical way. Reasoning, on the other hand, is more about using these ideas in real-life situations. It's about solving puzzles, seeing how different pieces fit together in math, and making smart guesses based on the information you have.

Children who are introduced to mathematical logic and reasoning can develop the ability to think critically very early. They learn to analyze information, recognize patterns, and make connections, which are essential skills not just in academics but in everyday life. A good grasp of mathematical logic and reasoning also lays a solid foundation for advanced mathematical study. 

Designing logical math questions for children is tricky. The questions must be challenging enough to engage their minds but not so challenging that they cause frustration. 

Here are 30 questions that stimulate the thinking process and encourage logical problem-solving:

• Pattern Identification : What comes next in the sequence: 2, 4, 6, 8, __?
• Simple Arithmetic : If you have three apples and you get two more, how many apples do you have in total?
• Shape Recognition : How many corners does a rectangle have?
• Basic Logic : If all cats have tails, and Whiskers is a cat, does Whiskers have a tail?
• Fraction Understanding : What is half of 10?
• Time Calculation : If a movie starts at 2 PM and is 1 hour and 30 minutes long, what time does it end?
• Simple Deduction : There are four cookies in the jar. You eat one. How many are left in the jar?
• Size Comparison : Which is bigger, 1/2 or 1/4?
• Counting Challenge : How many days are there in a week?
• Spatial Reasoning : If you turn a cup upside down, will it hold water?
• Numerical Patterns : What comes next: 10, 20, 30, 40, __?
• Logical Reasoning : If it is raining, the ground gets wet. The ground is wet. Did it rain?
• Basic Geometry : What shape is a standard soccer ball?
• Multiplication : What do 3 groups of 2 apples make?
• Measurement Understanding : Which is longer, a meter or a centimeter?
• Problem Solving : You have 5 candies and your friend gives you 2 more. How many candies do you have now?
• Logical Inference : All dogs bark. Buddy barks. Is Buddy a dog?
• Sequence Completion : Fill in the blank: Monday, Tuesday, Wednesday, __, Friday.
• Color Logic : If you mix red and blue paint, what color do you get?
• Simple Algebra : If 2 + x = 5, what is x?
• Perimeter Calculation : What is the perimeter of a square with each side measuring 4 units?
• Weight Comparison : Which is heavier, a kilogram of feathers or a kilogram of bricks?
• Temperature Understanding : Is 100 degrees Fahrenheit hot or cold?
• Money Calculation : If you have two $5 bills, how much money do you have?
• Logical Conclusion : If every bird has wings and a penguin is a bird, does a penguin have wings?
• Size Estimation : Is a mouse bigger than an elephant?
• Speed Understanding : If you walk slowly, will you finish a race faster than running?
• Age Puzzle : If your brother is 5 years old today, how old will he be in two years?
• Opposite Finding : What is the opposite of 'up'?
• Simple Division : How many pieces can you divide a pizza into if you make 4 straight cuts?

Here are the answers to the logic and mathematical reasoning questions above, in the exact order:

• Next in Sequence : 10 (Add 2 each time)
• Arithmetic : 5 apples (3 + 2)
• Shape Corners : 4 corners
• Logic : Yes, Whiskers has a tail (since all cats have tails)
• Fraction : Half of 10 is 5
• Time Calculation : Ends at 3:30 PM
• Deduction : 3 cookies left in the jar
• Size Comparison : 1/2 is bigger than 1/4
• Counting : 7 days in a week
• Spatial Reasoning : No, it will not hold water
• Numerical Pattern : 50 (Increment by 10)
• Logical Reasoning : Not necessarily (the ground could be wet for other reasons)
• Geometry : Spherical (a sphere)
• Multiplication : 6 apples (3 groups of 2)
• Measurement : A meter is longer
• Problem Solving : 7 candies (5 + 2)
• Logical Inference : Possibly, but not necessarily (other animals can bark too)
• Sequence Completion : Thursday
• Color Logic : Purple
• Simple Algebra : x = 3 (2 + 3 = 5)
• Perimeter : 16 units (4 sides of 4 units each)
• Weight Comparison : They weigh the same
• Temperature : 100 degrees Fahrenheit is hot
• Money Calculation : $10 (two $5 bills)
• Logical Conclusion : Yes, a penguin has wings
• Size Estimation : An elephant is bigger than a mouse
• Speed Understanding : No, you will finish slower
• Age Puzzle : 7 years old
• Opposite Finding : Down
• Division : 8 pieces (if the cuts are made optimally)

What are the 7 types of mathematical logic and reasoning questions?

The seven types of mathematical reasoning are:

• Deductive Reasoning : Involves deriving specific conclusions from general principles or premises.
• Inductive Reasoning : The opposite of deductive reasoning. It involves making generalizations based on specific observations or cases. 
• Analogical Reasoning : Involves drawing parallels between similar situations or patterns.
• Abductive Reasoning : This type of reasoning involves formulating an educated guess or hypothesis that best explains a given set of observations or data points.
• Spatial Reasoning : Involves visualizing and manipulating objects in space. 
• Temporal Reasoning : Focuses on understanding and reasoning about time, sequences, and order. 
• Quantitative Reasoning : Involves the ability to use numbers and quantitative methods to solve problems. 

We’ve reached the end of our exploration of the world of mathematical logic and reasoning for kids. We hope that by engaging with the problems above, your children can learn that mathematics isn’t just about numbers and rigid rules. Instead, they represent the world in a more structured and reasoned way. 

In the end, the goal is to support children’s overall development. The rules of mathematical logic and reasoning are about laying the groundwork for a lifelong journey of inquiry, exploration, and discovery. This will aid them in facing more complex challenges as they grow, ensuring they become well-rounded, thoughtful, and intelligent individuals.

What are mathematical logic and mathematical reasoning?

Mathematical logic is the study of formal logical systems and their applications in mathematics, focusing on how mathematical proofs are structured and conclusions are drawn. Mathematical reasoning, on the other hand, involves using logic and critical thinking skills to solve mathematical problems, making connections between concepts, and applying them to find solutions.

What is logical reasoning in maths?

In mathematics, logical reasoning uses a structured, rational process to move from known facts or premises to reach a logically sound conclusion. It encompasses identifying patterns, forming and testing hypotheses, and employing various methods like deduction and induction to solve problems and prove mathematical statements.

What does P ∧ Q mean?

The symbol "P ∧ Q" represents the logical conjunction of two statements, P and Q. It means "P and Q" and is true only if both P and Q are true. If either P or Q (or both) is false, then "P ∧ Q" is false. This operation is commonly known as the "AND" operation in logic.

Thorin Tran

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Mathematical Reasoning Tests Practice & How to Get Ready for Them? – 2024

What Is Mathematical Reasoning?

Mathematical reasoning is the ability to use quantitative data to identify patterns, solve problems without a pre-existing formula, interpret graphs and find plausible conclusions when presented with numerical evidence. Mathematical reasoning is a high-caliber form of critical thinking and problem-solving that is sought after in a variety of fields including healthcare, finance, and mechanical-based occupations.

What Is a Mathematical Reasoning Test?

Mathematical reasoning tests are administered to evaluate the aforementioned skills. This is achieved with questions that assess the candidate’s aptitude with basic mathematical functions, percentages, ratios, fractions, and statistics among other numerical disciplines. Depending on the field you are interested in, you may come across one of the following tests:

• Basic Skills Test The basic skills test is slightly different than the others because it covers more bases than just mathematical reasoning. The basic skills test also assess verbal skills and evaluates these two abilities alongside one another. This test will be equal parts math and verbal reasoning. It is commonly used to place candidates for multiple roles rather than evaluating them for one position.
• Basic Numeracy Test The basic numeracy test appraises the candidate’s mathematical foundation. Questions will consist of the fundamentals such as: algebra, decimals, geometrical concepts, and the four operations. This test is most common for administrative and operational jobs but is utilized to assess applicants seeking employment for jobs that require the use of basic math on a regular basis.
• Numerical Reasoning Test The numerical reasoning test is the most popular mathematical reasoning assessment to date. This test is more comprehensive than the previously detailed assessments because candidates must interact with ‘real world’ problems. They will be presented with graphs, tables and charts that fit a hypothetical scenario that is prevalent in their field. From there, they must find a solution and choose the correct answer from a list of choices.
• Advanced Numerical Reasoning The advanced numerical reasoning test follows a similar structure as the numerical reasoning test; however, it is considered much more difficult. The advanced version assesses your unlearned abilities alongside your prior knowledge of the content. This includes formulas that are not explicitly stated, the ability to interpret data and graphs, and strong analytical skills are a must.
• Critical Numerical Reasoning Test The critical numerical reasoning test is a subcategory of the advanced numerical reasoning tests. The difference is the precision of the critical numerical reasoning tests. This assessment is methodical and is typically administered to job seekers interested in technology or engineering.
• Currency and Unit Conversion Test The currency and unit conversion test is very simple. The candidate is asked to take a number and convert it to an international currency or unit. For example, what would forty American dollars be in Euros?
• Non-Calculator Test The non-calculator test is exactly what it sounds like; a math test without a calculator. This test will be comprised of the same principles as any other numerical reasoning test; however, the numbers are smaller and easier to work with. This test serves the purpose of assessing the candidate’s ability to work through problems mentally. To accomplish this, the non-calculator tests must be completed within a smaller amount of time than the other assessments.

How Is the Mathematical Reasoning Test Scored?

The mathematical reasoning test scores are reported to the employer as a raw score and a percentile score. The raw score is the amount of correct answers. A percentile score is how well you fared in comparison to your norm group. Your norm group will be a collection of scores from people in the same field as you at the same level of experience.

While your raw score is important, employers typically emphasize the percentile score because it tells them if you exceed, meet, or fail to meet their benchmark. For example, if you were to achieve a percentile score of eighty, that would tell the company that you did better than 80% of the people that have taken this assessment. The percentile is on a scale of zero to one hundred with fifty being the average.

Most companies will not send you your exact scores, instead, you will receive a notification alerting you if you have passed or not. Some companies will send you a feedback report which details the areas you should work on. A few common subsets are:

• Data interpretation
• Applied Mathematics
• Algebra & Geometry
• Fractions & Ratios

The score that is expected out of you depends on the requirements of the company. It is important to keep in mind that companies will bar numerous candidates from consideration if they don’t meet or exceed their standards.

When Will I Take the Mathematical Reasoning Test?

The mathematical reasoning test is most commonly administered during the interview process. The pre-employment math test is administered after the initial screening as an objective measure of the candidate’s numerical aptitude. If a candidate is successful in the first stage of the recruitment process, they will receive the online assessments via email within one or two weeks. Candidates are asked to complete the assessments within a specified number of days, after which the candidate will be notified of their standing within the week.

How to Prepare for the Mathematical Reasoning Test?

Math is a difficult subject for most. The mathematical reasoning test questions are designed to trip you up and the answer choices can be identical and confusing. Luckily, the content of the mathematical reasoning tests can be studied which is uncommon for aptitude tests .

If you want to prepare for your mathematical reasoning test successfully, review the previously described subsets by working through practice problems. The best study tools are online practice tests. By using these tests, you can prepare for both the material and the time constraint. It’s important to practice with the running clock because many candidates find themselves skipping or guessing at the questions; this method negatively impacts both your raw and percentile score. If you spend some time using the online practice tests, you can find the pace that works best for you.

Another benefit of the online practice tests is their variety. You will be able to prepare for each type of question from percentages to analysis. After you have taken the practice test, if you feel unsure about a certain subset, you can narrow your preparation to make certain that you do well in that section during the test.

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Math Logic Problems

Welcome to our Math Logic Problems worksheets. All the problems on this page require children to use their reasoning and logic thinking skills to solve.

There are a range of worksheets on this page with varying levels of difficulty from 1st grade up to 5th grade.

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Logic puzzle problems are a set of problems which involve children using their reasoning and logical thinking skills.

Sometimes children who struggle in other areas of math, such as number work, find that this is an area which they excel in.

Some of the math logic problems on this page work like traditional logic puzzles with table grids to fill in, but most of the sheets simply involve children using their thinking and resoning to solve the problems on the page.

All the logic puzzle worksheets on this page come with an answer sheet.

The problems on this page all involving solving Logic Problems.

Some of the sheets on this page include tables and way to support children with their recording and organising their work.

Some of the sheets have a space for children to record their own thinking and working out, with no support in recording.

The level of the worksheets goes from 1st grade to 5th grade (UK Years 1 to 6).

Using these sheets will help your child to:

• deveolop their reasoning and thinking skills;
• support and develop recording skills;
• solve a range of logic puzzles.

Logic Problems Worksheets

1st grade problems, share the treasure.

Share the Treasure involves sharing out 20 gold bars equally into 4 piles. The second part of the activity involves sharing out the bars using four rules.

• Share the Treasure 1
• PDF version
• Who Chose Which Shape #1

Who Chose Which Shape is a logic problem where children have to work out which salamander chose which shape from the clues given.

2nd Grade Problems

• Birthday Girl

Birthday Girl is an activity which involves finding the correct ages of all the people in the challeges using the clues that are given.

• Share the Treasure #2

Share the Treasure is a logic acitivity where the aim is to share some treasure according to certain criteria.

• Who Chose Which Shape #2

Who Chose Which Shape is a math logic problem where children have to work out which salamander chose which shape from the clues given.

3rd Grade Problems

• Color that Shape

Color that Shape is a coloring activity which uses logical thinking to work out which shape needs to be shaded which color.

Join Me Up is an logical puzzle where the aim is to place the numbers from 1 to 7 into the puzzle so that no consecutive numbers are next to each other.

• Spot the Digits

Spot the Digits is a logic activity where children have to find out the values of the letters a, b, c and d. The values can be determined by using the 3 clues.

4th Grade Problems

Quadra's magic bag challenges.

Quadra's Magic Bag Challenges involves using thinking and reasoning skills to work out two math challenges. The challenges also involve an element of trial and improvement, and also some addition.

• Quadra's Magic Bag Challenge
• Four Dogs Problem

Four Dogs Problem is a logic problem which involves using the clues to work out the owners for each of the four dogs.

Who Caught the Biggest FIsh?

Who Caught the Biggest Fish is a logical number problem where you need to use trial and improvement strategies to work out the order of size of the fish from the clues given about their weights.

• Who Caught the Biggest Fish?

5th Grade Problems

• Who Chose Which?

Who Chose Which is a logical number activity where you need to use the clues to work out which numbers each of the salamanders chose.

• Birthday Bonanza

Birthday Bonanza is a logic problem which requires logical thinking to work out who got which present and how old each of them was.

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Other Word Problems by the Math Salamanders

Finding all possibilities problems.

This is our finding all possibilities area where all the worksheets involve finding many different answers to the problem posed.

The sheets here encourage systematic working and logical thinking.

The problems are different in that, there is typically only one problem per sheet, but the problem may take quite a while to solve!

• Finding all Possibilities problems

Math Real-Life Word Problems by Grade

We have a variety of different problem solving worksheets, including 'real-life' problems.

The sheets go from 1st through 5th grade.

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Fraction Problems

Here you will find a range of fraction word problems to help your child apply their fraction learning.

The worksheets cover a range of fraction objectives, from adding and subtracting fractions to working out fractions of numbers. The sheets support fraction learning from 2nd grade to 5th grade.

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Ratio Problems

Here you will find a range of ratio word problems to help your child understand what a ratio is and how ratios work.

The sheets support ratio learning at a 5th grade level.

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Logical Reasoning Tests

• 100 questions

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.

What is a logical reasoning test?

A logical reasoning test is an assessment that measures your ability to interpret information, apply logic to solve problems and draw relevant conclusions. It is typically non-verbal and in a multiple-choice format, and requires the use of rules and deduction to reach answers, rather than prior knowledge.

That said, logical reasoning is actually an umbrella term for multiple types of assessment, and you may find you’re asked to take any one of the following five test types as part of a job application.

Deductive reasoning

Commonly presented as a series of word problems, deductive reasoning tests require you to apply top-down-logic; that is, you must draw the right conclusion from a set of given premises.

Typically, you’ll be presented with a short paragraph, or stimulus, detailing an argument, scenario or a number of stated facts, and a set of possible answers. Only one of these answers can be true, based on the evidence provided.

You may also be given a conclusive statement and asked to decide if it is true or false, or if there’s insufficient information to conclude either way.

Inductive reasoning

Unlike deductive reasoning, inductive reasoning tests ask you to make general inferences – probable conclusions based on a set of information, rather than unquestionable outcomes.

This is most often done through the use of shapes, patterns, sequences and diagrams.

You’ll need to quickly identify relationships and rules, then apply these to find the most logical answer from the multiple-choice options. This could be identifying the odd one out, filling in the missing part of a pattern, or finding the next part of a sequence.

Diagrammatic reasoning

Similar to inductive reasoning, diagrammatic reasoning tests offer visual representations of a problem and require you to make logical connections to draw a conclusion.

Questions often take the form of a diagram with inputs and outputs, and you’ll be required to select which processes from a list of operators would achieve the documented effect.

You may also be presented with sets of abstract sequences, given a standalone visual, and asked to select which set it belongs to.

Abstract reasoning

Abstract reasoning tests are essentially inductive and/or diagrammatic reasoning tests under another name.

They too require you to find relationships and rules between visual sequences, then apply these to select the correct image from multiple options, be it a missing part or a continuation of the sequence in question.

Critical reasoning

Critical reasoning tests are more akin to deductive reasoning tests, in that you’ll be dealing with word-based scenarios, arguments, evidence and conclusions.

These tests tend to evaluate a range of skills. Argument analysis is common, in which a question is posed, and a yes/no answer given with a supporting statement. You’ll need to decide whether the statement is a strong or weak argument.

Other question types involve scenarios and statements from which you’ll be asked to make assumptions, deductions and inferences based on the evidence provided.

Critical reasoning tests are most commonly used in sectors where evidence-based judgement is an everyday requirement, such as law.

Why do employers use logical reasoning tests?

As with any form of psychometric assessment, employers use logical reasoning tests as a way to filter applicants, most commonly in the pre-interview stages of selection.

Logic forms a fundamental part of day-to-day decision making. Our reasoning capabilities determine how effectively we interpret the world around us, and how we use what we know to be fact to inform our choices. As such, logical reasoning is a vital part of many job functions.

In administering a logical reasoning test, employers are evaluating how well you’re likely to perform tasks like strategy development, risk assessment and forecasting, as well as general problem solving.

Additionally, the ability to quickly discern patterns, understand complex relationships, and make logical deductions underpins successful innovation and creative problem-solving in dynamic work environments. Thus, logical reasoning tests also serve as a method for assessing a candidate’s potential to contribute to innovative solutions and strategic thinking in their prospective role.

Common logical reasoning test publishers

Below are listed five of the most widely used publishers of logical reasoning tests, each of which has its own approach to this type of assessment.

SHL publishes and administers both inductive and deductive reasoning tests, the lengths of which vary depending on the level of role applied for. Typically though, they last no longer than 25 minutes and follow a standard format.

Kenexa’s logical reasoning test focuses on inductive or abstract reasoning, with candidates required to assess and manipulate shapes and sequences. It also has a deductive reasoning test, which it refers to as verbal reasoning.

Cut-e offers both inductive and deductive reasoning tests, with individual variations of each. The layout of Cut-e’s tests is known to be somewhat different to other publishers, so if you’re taking one be sure to practice specifically for this format.

As one of the best-known publishers of psychometric and aptitude assessments, Saville’s logical reasoning tests are widely used. They’re offered as either abstract or diagrammatic reasoning and have a time limit of around 20 to 25 minutes.

Logical reasoning tests from Talent Q are adaptive, which means the difficulty rating of a question is related to your performance on the question prior. Do well initially, and they’ll get harder. Struggle, and they’ll become a little easier.

How to prepare for logical reasoning tests

The best way to prepare for a logical reasoning test of any description is to train your brain to think more critically – and that means practice.

Try making puzzles a part of your daily routine or use brain-training apps in your downtime. If you’re preparing for a deductive or critical thinking test , take an analytical approach to reading the daily news. Instead of simply taking things on face value, ask yourself questions based on the evidence provided, and whether or not it’s enough to draw solid conclusions.

And make sure you take plenty of practice tests. This will help you understand how to answer logical reasoning tests , and will make you familiar with many of the common relationships found in abstract sequences, including orientation, shading, rotations and reflections.

If you’re struggling to identify relevant rules, work backwards from the answer. The better you understand where and how certain rules apply, the more picking them out will become second nature.

As you progress with your practice tests, start taking them under exam conditions, including setting yourself a time limit. Pacing is a key skill in logical reasoning tests, as your score will not only indicate how many correct answers you gave, but how long it took you to answer each question. By broadening your practice beyond traditional puzzles and tests, you foster a more adaptable and comprehensive critical thinking skill set, better reflecting the dynamic problem-solving required in many professional environments.

Lastly, be sure to practice the right type of test. Ask your prospective employer which of the five types of logical reasoning assessment you’ll be sitting, and if possible, which test provider they use. This will allow you to target your preparation to the specific test format you’ll face on assessment day.

Prepare yourself for leading employers

Free example logical reasoning questions

Below you’ll find example questions for the different types of logical reasoning test. Answers to each are given below the set of questions.

For further practice, check out our free logical reasoning test questions and answers .

Deductive reasoning test

All footballers are fit and healthy.

All famous sports players are footballers.

Given that the above is true, which of the following is the logical deduction?

• All footballers are famous sports people
• All famous people are fit and healthy
• All famous sports players are fit and healthy
• All fit and healthy people are footballers
• All football players are men

Inductive reasoning test

How many triangles will be in the 6th shape?

Diagrammatic reasoning test

In the grid, one box is missing. You must work out what rules are being applied in the other boxes in order to work out which of boxes A to F will complete the grid.

Abstract reasoning test

Which of the boxes comes next in the sequence?

Using deductive reasoning, the only logical answer is 3. To get to this answer, you need to simplify the given facts. All famous sports players are footballers, and all footballers are fit and healthy.

• We can’t deduce that all footballers are famous sports people, as we haven’t got that information.
• We can’t deduce that all famous people are fit and healthy, because the fact is about famous sports people.
• This is the logical answer.
• This information is not given; all footballers are fit and healthy but we can’t logically link that all fit and healthy people are footballers.
• This is obviously incorrect, as gender is not mentioned at all in the question.

The number of triangles is increasing by 2 as you move along the sequence. I you continue to add 2 until you reach the 6th shape you reach 14, so the answer is C).

In the question the key rule is that the number of ‘star’ shapes in the central column must always equal the number of double circle shapes.

If there are no star shapes there should be no circle shapes. If there are three star shapes, there should be three circle shapes. Option F is the only one that abides by this rule.

Please note: shapes are not in a set position within this sequence. It is merely the presence of the shapes that is important. 1. There are always two squares in the frame. 2. There are always two circles in the frame. 3. There is always one triangle in the frame. So the answer is D).

Sample Logical Reasoning Tests question Test your knowledge!

If all roses are flowers and some flowers fade quickly, which statement must be true?

• All roses fade quickly.
• Some roses fade quickly.
• Some flowers are roses.
• No roses are flowers.

What is the next logical step if when you press button A, light X turns on, and when you press button B, light Y turns on? Assuming button A is pressed and lights X and Y are currently on.

• Press button B to turn light X off.
• Press button A to turn light Y off.
• Press button A to turn light X off.
• Press button B to turn light Y off.

Choose the statement that best reflects an understanding of the given premises: Premise 1: All managers are employees. Premise 2: Some employees are interns.

• All managers are interns.
• Some managers are not employees.
• Some interns are not managers.
• No interns are managers.

On a team of four people, two people can write code and three can design UI. If one person has all these skills, how many people only have one of the skills?

In a new brand of cars, Model X has better mileage than Model Y. Model Z has worse mileage than Model Y but is cheaper than Model X. Which of the following statements is correct based on this information?

• Model Z is the cheapest and has the best mileage.
• Model X is cheaper than Model Y.
• Model X has better mileage than Model Z.
• Model Y is cheaper than both Model X and Model Z.
• Model Y has the worst mileage.

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Logical Reasoning Tests Tips

1 read each question carefully.

It’s vital you understand exactly what is being asked of you, so be sure to read every question thoroughly. There may well be distractors in the multiple-choice options; picking one of these because you’ve misinterpreted the question is a common error.

2 Analyse the stimulus

In deductive or critical reasoning tests, it’s important to fully digest the stimulus before drawing your conclusion. Again, a simple misunderstanding can be the difference between scoring or missing out on a mark, so make sure you’re aware of all the evidence presented to you.

3 Work out your answer before looking at the options

When working with abstract sequences or patterns, try to get an idea in your head of what the missing piece or next part of the sequence is likely to be, before you look at the multiple-choice options. This will help you zone in on the right response, rather than get distracted by irrelevant choices.

4 Make notes

There may be several relationships in any given sequence, and in diagrammatic reasoning tests you’ll need to be aware of multiple processes. Make notes as you go through to keep track of your thought process. It will help you to work methodically and avoid confusion.

5 Pay attention to pacing

You only have a set amount of time to work through all the questions, so be sure to pace yourself. Typically, problems become more complex as the test progresses, so aim to spend less time on questions at the start. Good pacing takes practice. You want to work quickly but not to the detriment of your accuracy.

6 Don't panic

Logical reasoning tests can be a little daunting if you’re not used to them but remember, we apply logic everyday without even realising it. Stay calm and remind yourself that the steps you need to take are familiar to you, it’s just that the problem you’re solving is presented in an unfamiliar way.

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Logical Reasoning Tests FAQs

How are logical reasoning tests scored.

Logical reasoning tests are scored comparatively. That is to say, you’ll receive one mark for each correct answer, and your total score will be compared to the average results of other test-takers. Different employers may assess your results in different ways. Some will look only at your raw score against an average benchmark, while others may also consider your pace.

What are logical reasoning tests used for?

No matter the type of logical reasoning test used, you’re being assessed on your problem-solving and critical thinking skills. Employers are trying to determine if you have the required ability to interpret information, identify patterns and relationships, and draw solid conclusions. These are skills used on a daily basis in many job roles, so logical reasoning tests are widely used.

How is logical thinking measured?

Logical reasoning tests give a good indication of your lateral thinking skills by measuring your ability to analyse and interpret information to make evidence-based decisions – be they inferences, assumptions or unquestionable conclusions.

Why is logical reasoning important?

Logical reasoning is important in work-based environments because it is this skill set that allows you to work through many everyday business problems and come to the right resolution. Logical thinkers make decisions based on what they know to be true, rather than gut feeling; set achievable goals based on past performance; and approach complex problems in a systematic manner.

Where can I practice logical reasoning tests?

You can find practice tests for all types of logical reasoning assessments on our website, along with detailed answer explanations and guides. You can also find practice tests online from individual publishers which will help you get to grips with specific formats and time constraints.

Which employers use logical reasoning tests?

Logical reasoning tests are commonly used for managerial-level roles and above in many corporate job sectors, including law, investment banking and consultancy, as well as human resources, customer service and market research. It’s also likely you’ll be required to sit some form of logical reasoning test for acceptance onto a graduate scheme with many larger employers.

Reviews of our Logical Reasoning tests

What our customers say about our Logical Reasoning tests

Naveen Dabas

June 11, 2024

i think the uniqueness of the shapes define the intelligence in the test.

at first it seemed quite complicated then i think the common sense says that natural intelligence can crack the test.

January 17, 2024

It was a good test. Great variety of questions.

Some questions were too easy ,while some questions took a little longer to be solved. Overall the test was good. Considerations can be made to make the test a little more tough and challenging

Samuel Johnson

United States of America

December 24, 2023

Great service overall

Good question variety - the content of the test and the style differ slightly from the actual Korn Ferry test for which I am preparing.

South Africa

October 23, 2023

Fun & challenging!

I enjoyed the variety that this test offered. I would have preferred instant, question-by-question feedback over feedback at the end.

TheReal MacBen

Philippines

October 14, 2023

The varying patterns of the figures in each box, and what could be the next chain in that pattern.

I like how the test contained fun and interesting questions that needed logical thinking. However, it is not as complex as one test I answered, so the website should give an option of difficulty in tests.

MARTINE METIEKAM

September 26, 2023

Interesting

I have difficulty identifying the sequence. Honestly, I am not very familiar with the test. Thank you.

Andreas Karlsson

September 15, 2023

I found some of the patterns challenging at first but I do love to solve these little puzzles and recognize the patterns within

September 10, 2023

Take one peice at a time

each task was a test to see if you could follow the pattern, some were difficult but it was a nice brain teaser.

September 02, 2023

Quick access to test, without any unnecessary sale propositions

I should not have to create an account to just take a sample test. I am happy to make an account once I take 1 or 2 tests and see whether I want to create an account

Paul Kitchener

United Kingdom

August 29, 2023

Good prep for recruitment test

I liked that I could skip a question and come back to it if I found it difficult under the time limit

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Is mathematical reasoning important to study?

Table of Contents

January 18, 2021

Reading Time: 9 minutes

Introduction

The purpose of mathematics is not just to earn grades. Students who wish to aim high in life need to figure out their purpose. Broadly speaking, Mathematics is implemented in every sphere of life. Nowadays, organizations require measurable input and output for performance assessment, and career outcomes are not based on qualitative or verbal feedback.

Students need to gear up and prepare for a future that will depend solely on mathematics. The evolution of newer technologies like data science will bring a renewed emphasis on Mathematics.   

Mathematical reasoning, on the other hand, helps individuals build mathematical critical thinking and logical reasoning. A lack of mathematical reasoning skills may reflect not just in mathematics performance but also in Physics, Chemistry, or Economics.

In the subsequent sections, we will try to understand What is Mathematical reasoning and what are the basic terms used in mathematical reasoning. We will also have a look at different types of mathematical reasoning and go through mathematical reasoning questions and answers.

Later in the article, we will look at a few Frequently Asked Questions with solutions to solidify the idea behind learning mathematical reasoning.

• The importance of developing mathematical thinking in children
• Logical Reasoning: Topics, Examples, Syllabus, Questions
• Slow Learners

Here is a downloadable PDF. After downloading, you will be able to read 'Mathematical Reasoning’ offline at your convenience and as many times as you want. Click on the download button to explore them.

What is Mathematical Reasoning?

Mathematical reasoning is a critical skill that enables students to analyze a given hypothesis without any reference to a particular context or meaning. In layman's words, when a scientific inquiry or statement is examined, the reasoning is not based on an individual's opinion. Derivations and proofs require a factual and scientific basis. 

Mathematical critical thinking and logical reasoning are important skills that are required to solve maths reasoning questions. 

When we learn literature, we follow certain rules of grammar. Likewise, there are certain rules and parts of a scientific hypothesis. It is important to note that most books and texts written on mathematical reasoning follow scientific grammar or relevant terminologies and notations.

What are the basic terms used in Mathematical Reasoning?

In this section, the basic terminologies associated with Mathematical reasoning are discussed.

Any sentence in mathematics which follows the following rules is a statement.

A sentence needs to be either true or false but not both to be considered a mathematically accepted statement.

Any sentence which is either imperative or interrogative or exclamatory cannot be considered a mathematically validated statement. 

A Sentence containing one or many variables is termed an open statement. An open statement can become a statement if the variables present in the sentence are replaced by definite values

Example: The distance from the center of a circle to any point on the circumference of the circle is equal. 

Conjunction and Disjunction

Whenever statements are joined to make a new statement and all the conditions need to be fulfilled, it is a Conjunction. ‘And’, ‘with’ are commonly used to join such statements.

Whenever statements are joined to make a new statement and only one of the conditions needs to be fulfilled, it is a Disjunction. ‘Or’, ‘But’ are commonly used to join such statements.

The conjunction is true only if the original statements are found to be true. The conjunction is false if the original statement or statements are found to be false.

The conjunction is true if only one statement is found to be true. The conjunction is false if none of the original statements are found to be true.

Example: Square is a polygon and a parallelogram can also be a square.

These are a few mathematical terminologies that will help you comprehend and apply mathematical reasoning. These terms will also help you solve and understand reasoning questions.

What are the types of mathematical reasoning?

Inductive reasoning.

Inductive reasoning is based on observations and not any hypothesis. If any phenomena are observed for n number of times, it can be generalized. This generalization is based on observation and therefore it may be false. Inductive reasoning is a logical guess which can be backed up by using valid reasons.

This type of reasoning is not used in geometry, for instance, one may observe a few right triangles and conclude all triangles to be right triangles. Therefore, other mathematical tools are used to prove geometrical results. An example of inductive reasoning will help elucidate the concept.

Example of Inductive Reasoning:

Statement:  I picked a ball from the bag and it happens to be a red ball. I picked a second red ball. A third ball from the bag is also red. Therefore, all the balls in the bag are red.

Reasoning : All the balls picked up from the bag are red. Therefore, we can say all the balls are red. This is an example of inductive reasoning where existing data is analyzed to come to a general conclusion.

Deductive Reasoning

Deductive reasoning is based on the exact opposite principles of induction. Unlike Inductive reasoning, Deductive reasoning is not based on simple generalizations. A Hypothesis is required or a statement that has to be true under specified conditions for deductive reasoning to be valid. In the case of Inductive reasoning, the conclusion may be false but Deductive reasoning is true in all cases.

Therefore, Deductive reading is used for geometrical and mathematical proofs. The following example will simplify the concepts discussed in this section.

Example of Deductive Reasoning:

Statement:  The sum of angles in a triangle is always equal to 180° and ABC is a Triangle.

Reasoning:  Here in the given statement we are considering two hypotheses, where the sum of angles in a triangle is said to be 180° and ABC is a triangle. Based on the given hypotheses we deduce that the sum of angles of ABC is 180°.

Abductive Reasoning

Abductive reasoning is a modified version of Inductive Reasoning and takes a more practical approach. In the case of inductive reasoning, the data or observation is complete but in real situations, most of the data is not available at the time of making a decision.

So based on the data and its availability, the conclusion may vary and reasoning may change.   

Example of Abductive Reasoning:

Statement: The heights of four students studying in a class were found to be 160cm, 162cm, 163 cm, 167 cm respectively. The measuring scale available had the least count of 1cm. 

Reasoning : As per the data and hypotheses available at the time of observation, the average height comes out to be 163cm. But once a new measuring scale was installed the least count was found to be 0.1 cm and the recorded height of students changed. This also impacted the Average height which came to be 63.8 cm. 

As discussed in this section, reasoning techniques are categorized in three major sections. An understanding of Inductive, Abductive and Deductive reasoning will help you solve any reasoning question. It is important to identify the reasoning technique which has to be used to solve a question from examination point of view. 

What are the types of reasoning statements?

Reasoning statements in mathematics are broadly classified into three types:

Simple Statements

Compound Statements

If-Then Statements

We will look into each type of reasoning statement along with their examples.

If the truth value of a statement or proposition does not directly depend on another statement, it is a simple statement. In other words, a simple statement should not be composed of simpler statements.

Therefore a simple statement can never be broken down into simpler statements. It is easiest to work with simple statements and direct reasoning approach can be implemented. A few examples have been provided to clear the concept of simple statements. 

Example 1: Square is a parallelogram.   

Reasoning: There are no modifiers in the given statement. Therefore we can say that the given statement is simple. 

Compound Statement

In simple words, the combination of simple statements is a compound statement. Therefore, such statements are made of either two or more simple statements joined together by connectives like 'and', 'or'.

A variety of connectives can be used instead of the two connectives as mentioned. These statements are crucial for Deduction reasoning in Mathematics. Have a look at the detailed example below for a better understanding:

Example 1: We have taken two simple statements that can be joined together by the use of a connector.

Statement 1:  Parallel lines do not intersect.

Statement 2: Transversal lines make equal alternate angles with parallel lines

Compound Statement:  Parallel lines do not intersect and Transversal lines make equal alternate angles with parallel lines.

Example 2: In this example, a compound statement is being dissected into its simple statement components. 

Compound Statement:  Triangle has three sides and the square has four sides.

The Simple Statements for this statement is:

Statement 1:  Triangle has three sides.

Statement 2:  The square has four sides. 

If-then Statement

Conditional statements where a hypothesis is followed by a conclusion are known as the If-then statement. If the hypothesis is true and the conclusion is false then the conditional statement is false. Likewise, if the hypothesis is false the whole statement is false.

Example 1: If 40% population is female then 60% population is male.

Reasoning: Here the 40% female is the hypothesis and if that condition is met then the conclusion is satisfying.

Sample Mathematical Reasoning Questions With Answers

Now that we have an understanding of Mathematical Reasoning and the various terminologies and reasoning associated, we will go through two sample questions with an explanation to understand maths and reasoning in depth.

Q1. Look at this series: 12, 10, 13, 11, 14, 12, … What number should come next?

A. 15 B. 16 C. 13 D. 10

Answer: Option D.

Explanation: First, 2 is subtracted, then 3 is added therefore when 3 is added to 12 it becomes 15. This is an example of an alternating number of subtraction series.

Q2. SQUARE:PERIMETER::CIRCLE :?

A.RADIUS B. CHORD C. SECTOR D. CIRCUMFERENCE

Answer: D.CIRCUMFERENCE. 

Explanation:  The boundary of a square is given by its perimeter just as the boundary of a circle is given by circumference.

Most kids study mathematics for the sake of grades. That will improve grades temporarily but cause great damage in the longer run. Kids need to ask questions to understand how a particular concept is being used. If children do not understand the concepts in their initial days, they will struggle at a later stage.

Practice Proofs

Proofs will help Children Ideate their own set of techniques to understand complex problems. Students need to focus on Geometry Proofs, results, and maths reasoning questions.

Cuemath Activities

Some kids do need additional support and tools. Sometimes kids underperform in mathematics due to stress and fear of bad grades. Such kids are unable to ask questions in class and eventually start lagging. Cuemath provides a customized learning journey for such kids.

The most basic concepts are cleared and corrected. Individual attention by professional Mathematics Teachers helps them cope better. Once a child gains confidence, mathematics is a cakewalk. 

Begin teaching mathematical reasoning at an early age to avoid struggling with it at a later stage. Children need to understand the principles of mathematics rather than mugging up proofs and theorems.

This will help them solve higher-order problems and develop mathematical aptitude. Over time you will find your child solving complex problems on their own without much intervention or assistance. 

About Cuemath

Cuemath, a student-friendly mathematics and coding platform, conducts regular  Online Classes  for academics and skill-development, and their Mental Math App, on both  iOS  and  Android , is a one-stop solution for kids to develop multiple skills. Understand the Cuemath fee structure and sign up for a free trial.

Frequently asked questions (FAQs)

What is a fallacy in mathematical reasoning.

Fallacy refers to errors in hypotheses caused due to logical inaccuracy.

Why is mathematical reasoning important?

Students have the potential to solve higher-order thinking questions which are frequently asked in competitive examinations. But a lack of mathematical reasoning skills may render their potential. Encouragement is needed to develop a student's natural inclination to strive for purpose and meaning.

The reasoning is the most fundamental and essential tool of mathematics. It helps one understand and justify mathematical theorems. A good grip in reasoning will help students apply the concepts they learn in the classroom. 

What are the two types of fallacy?

The two types of fallacies are as follows:

Formal fallacy: When the relationship between premises and conclusion is not valid or when premises are unsound, Formal fallacies are created.

Informal Fallacy: Misuse of language and evidence is classified as an Informal fallacy.

Logical Reasoning

Logical reasoning topics assess a candidate's deductive and inductive reasoning abilities. Mastering them involves understanding concepts, formulas, tips, and tricks. Additionally, practicing questions and answers is vital for achieving high scores in placement exams, where they carry significant weightage.

Logical Reasoning Topics

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With our platform, you can access important logical reasoning questions in a creative and informative manner. Our user interface is designed to be simple and intuitive, providing easy navigation.

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Our platform is regularly updated, ensuring that you can practice the latest and most relevant questions at your own pace. With just a click, you can access a wide range of questions from various logical reasoning topics.

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Is the logical reasoning section difficult?

A resounding NO! In reality, most people find logical reasoning questions and answers to be quite straightforward and intriguing to solve.

How many topics are there in logical reasoning?

There are typically around 10-20 common logical reasoning topics that are commonly asked in most placement exams. Here are the common verbal ability topics:

• Making Judgments
• Logical Problems
• Analyzing Arguments
• Statement and Assumption
• Course of Action
• Statement and Conclusion
• Theme Detection
• Cause and Effect
• Statement and Argument
• Order and Ranking
• Odd Man Out
• Series Completion
• Letter and Symbol Series
• Number Series

How to prepare for logical reasoning for placements?

To prepare for logical reasoning in placements, we recommend diving right into problem-solving to save time. This approach helps you develop your critical thinking skills.

Once you have attempted solving problems across various subtopics, you can seek out effective shortcuts to learn the quickest ways to solve questions.

For detailed guidance on preparing for logical reasoning, check out our blog post on how to prepare for logical reasoning for placements .

How much time does it take to learn logical reasoning for placements?

The time it takes to learn logical reasoning for placements varies depending on each individual's capacity for creative thinking and problem-solving.

On average, gaining a fundamental understanding of each subtopic can take approximately 1-2 hours with clear learning direction and available resources.

What are some of the best books to learn logical reasoning?

There is no such thing as the perfect book for logical reasoning. Instead of focusing on a single book, it is more important to understand and practice logical reasoning questions.

At Placement Preparation, we provide the best available information to help you in learning logical reasoning effectively.

For more information, refer to our blog post on the best books to learn logical reasoning .

Which is the best website to learn logical reasoning?

Placement Preparation is the best website to learn logical reasoning. Our website is dedicated to providing students with the most valuable and useful information for learning logical reasoning.

We strive to continuously update and improve our content to make it the best resource for logical reasoning learning.

For more information, refer to our blog post on the best websites to learn logical reasoning .

Which is the best youtube channel to learn logical reasoning?

There is no such thing as the best YouTube channel to learn logical reasoning.

We encourage you to follow individuals and channels that promote understanding the underlying principles and reasoning behind formulas, rather than simply memorizing and applying them blindly.

How do you benefit from practicing logical reasoning questions?

Practicing logical reasoning questions benefits you by improving critical thinking, analytical skills, and problem-solving abilities.

How many questions should I practice for each logical reasoning topic?

The number of questions you should practice for each logical reasoning topic may vary depending on your level of proficiency and the complexity of the topic.

It is generally recommended to start with a sufficient number of practice questions to grasp the basic concepts and techniques. As you become more comfortable, gradually increase the number of questions to challenge yourself.

What is the right way to practice logical reasoning questions?

The right way to practice logical reasoning questions involves understanding concepts, practicing a variety of questions, analyzing patterns, reviewing solutions, and seeking clarification when needed. Consistency and regular practice are important.

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Mathematical Reasoning - Sub Topics

What is mathematical reasoning, importance of mathematical reasoning.

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The reading material provided on this page for Mathematical Reasoning Questions is specifically designed for students in grades 7 to 8. So, let's begin!

Mathematical reasoning is the backbone of problem-solving, critical thinking, and logical analysis. It allows us to make sense of complex situations, discover patterns, and arrive at informed conclusions. From basic arithmetic to advanced calculus, mathematical reasoning is at the core of mathematical problem-solving. This article will explore the significance of mathematical reasoning and how it helps us navigate the world of numbers and beyond.

1. Problem-Solving

Mathematical reasoning equips us with the tools to tackle complex problems effectively. By breaking down a problem into smaller, manageable parts and applying logical reasoning, we can devise strategies to find solutions.

2. Critical Thinking

Mathematical reasoning nurtures critical thinking skills, enabling us to evaluate and analyze information objectively. It encourages us to question assumptions, seek evidence, and draw well-founded conclusions.

3. Real-World Applications

Mathematical reasoning is not limited to abstract concepts. It finds practical applications in various fields such as engineering, finance, computer science, and natural sciences. It allows us to model and understand real-world phenomena, make predictions, and optimize systems.

4. Logical and Analytical Skills

Mathematical reasoning enhances our logical and analytical thinking abilities. It promotes precision, attention to detail, and the ability to analyze problems from multiple angles, leading to more robust and accurate solutions.

5. Number Series

A number series, also known as a numerical sequence or numeric progression, is a sequence of numbers arranged in a particular order based on a specific pattern or rule. Each number in the series is derived from the previous numbers according to the established pattern.

6. Letter Series

A letter series refers to a sequence or pattern of letters that follow a specific rule or pattern. In a letter series, each element is a letter from the alphabet, and there is a logical relationship or progression between the letters.

7. Coding-Decoding

Coding is a technique for secure communication, enabling the transmission of messages between sender and receiver while keeping them hidden from third parties. The coding and decoding test evaluates an individual's skill in deciphering coded messages and determining the original words based on assigned code values.

8. Puzzle Test

A puzzle test in reasoning is a type of assessment that evaluates an individual's logical and analytical thinking abilities. It typically involves a set of challenging problems or puzzles that require problem-solving skills, pattern recognition, deduction and creative thinking.

Puzzle tests can come in various formats, such as logical reasoning puzzles, number puzzles, word puzzles, spatial puzzles, and more. The test taker is presented with a problem or a series of clues, and they must use their reasoning skills to find a solution or arrive at the correct answer.

9. Mathematics Operation

Mathematical operations encompass the four fundamental operations: addition (+), subtraction (-), multiplication (x), and division (÷). Additionally, statements such as "less than," "greater than," "equal to," and "not equal to" are represented by symbols distinct from the usual ones. Questions involving these operations utilize artificial symbols, which must be replaced with the appropriate real signs to solve the questions and obtain the answer.

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Logical Reasoning Questions and Answers

Logical reasoning interview questions and answers.

Here you can find Logical Reasoning interview questions and answers for your placement interviews and entrance exam preparation.

Why should I learn to solve Logical Reasoning questions?

Learn and practise solving Logical Reasoning questions to enhance your skills so that you can clear interviews, competitive examinations, and various entrance tests (CAT, GATE, GRE, MAT, bank exams, railway exams, etc.) with full confidence.

Where can I get Logical Reasoning questions and answers with explanations?

IndiaBIX provides you with numerous Logical Reasoning questions and answers with explanations. Fully solved problems with detailed answer descriptions and explanations are given and will be easy to understand.

Where can I get Logical Reasoning MCQ interview questions and answers (objective type, multiple choice)?

Here you can find multiple-choice-type Logical Reasoning questions and answers for your interviews and entrance examinations. Objective-type and true-or-false-type questions are also given here.

How do I download Logical Reasoning questions in PDF format?

You can download Logical Reasoning quiz questions and answers as PDF files or eBooks.

How do I solve Logical Reasoning quiz problems?

You can easily solve all kinds of quiz questions based on Logical Reasoning by practising the given exercises, including shortcuts and tricks.

• Number Series
• Letter and Symbol Series
• Verbal Classification
• Essential Part
• Artificial Language
• Matching Definitions
• Making Judgments
• Verbal Reasoning
• Logical Problems
• Logical Games
• Analyzing Arguments
• Statement and Assumption
• Course of Action
• Statement and Conclusion
• Theme Detection
• Cause and Effect
• Statement and Argument
• Logical Deduction

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What is a Cognitive Test?

How difficult is the cognitive ability test, free practice cognitive reasoning test questions, frequently asked questions, cognitive ability test.

Updated July 16, 2024

A cognitive test is an assessment tool designed to measure an individual's cognitive abilities, which are the mental processes involved in acquiring, processing, storing and using information.

Cognitive assessments are used to evaluate various aspects of cognitive functioning, including memory, attention, problem-solving, reasoning, language comprehension, and more.

Cognitive function tests are commonly employed in several contexts, including education, clinical psychology, neuropsychology and employment assessment.

This cognitive ability practice test has been designed to help you prepare for the real thing.  

Prepare for Any Job Assessment Test

The test consists of a set of 10 questions, along with correct answers and full explanations.

What are the Topics Covered in a Cognitive Functions Test?

Verbal reasoning.

A verbal reasoning test is a type of cognitive assessment designed to evaluate an individual's ability to understand and analyze written information, as well as to draw logical conclusions and make inferences based on that information.

These test reading comprehension, critical thinking,inference and deduction, vocabulary and language skills and textual analysis.

Numerical Reasoning

A numerical reasoning test is a type of cognitive assessment designed to evaluate an individual's ability to work with numerical information, perform mathematical operations and make logical deductions based on numerical data.

These test mathematical problem solving, data interpretation, critical thinking and numerical literacy.

Logical Reasoning

A logical reasoning test, also known as a logical aptitude test or logical thinking test, is a type of cognitive assessment designed to evaluate an individual's ability to think logically, critically analyze information and make deductions based on structured patterns and rules.

These test pattern recognition, critical thinking, deductive and inductive reasoning.

Figural Reasoning

A figural reasoning test, also known as a non-verbal reasoning test, is a type of cognitive assessment that evaluates an individual's ability to analyze and solve problems using visual or abstract patterns and shapes, rather than relying on language or numbers.

These test visual patterns and shapes, pattern recognition, spatial skills and critical thinking.

At the end of the test if you would like further practice, you can find more tests like this cognitive ability test at JobTestPrep .

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Prepare for Any Job Assessment Test with TestHQ

How can I test my cognitive ability?

You can test your cognitive ability through various cognitive assessments and tests that are designed to measure different aspects of cognitive functioning. These tests can be administered by educational institutions, employers or qualified professionals.

To get an idea of your cognitive abilities, you can also explore online cognitive tests and brain training apps, although these may not provide as accurate or comprehensive results as professionally administered tests.

How to prepare for the cognitive ability assessment?

While cognitive ability assessments are designed to measure innate abilities and skills, there are some general strategies you can use to prepare:

• Get enough rest and sleep before the assessment.
• Practice with sample questions and familiarize yourself with the test format if possible.
• Manage your stress and anxiety through relaxation techniques.
• Follow any specific instructions or guidelines provided by the test administrator.
• Be sure to arrive on time for the assessment and be well-rested and focused.

How long does a cognitive ability test take?

The duration of a cognitive ability test can vary widely depending on the specific test and its complexity. Some tests may take as little as 15-20 minutes, while others, especially comprehensive assessments, may take several hours. The length of the test is typically determined by the number and types of questions included.

How is a cognitive ability assessment scored?

Cognitive ability assessments are typically scored based on the number of correct answers. Some tests may also consider the time taken to complete each section or question, and in such cases, speed and accuracy are both important factors. Scores may be compared to a normative group to determine how an individual's performance compares to the average or to establish percentiles.

Is cognitive ability an IQ test?

Cognitive ability assessments are closely related to IQ tests, but they are not always the same. IQ (Intelligence Quotient) tests are a specific type of cognitive ability test that measures a range of cognitive skills, including problem-solving, logical reasoning and spatial intelligence.

However, there are other cognitive tests that may focus on specific cognitive domains, such as verbal reasoning, numerical reasoning, or figural reasoning.

IQ tests are a subset of cognitive ability assessments but are often used interchangeably with the term "cognitive ability test" in common language.

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Tenth Grade (Grade 10) Logical Thinking Questions

You can create printable tests and worksheets from these Grade 10 Logical Thinking questions! Select one or more questions using the checkboxes above each question. Then click the add selected questions to a test button before moving to another page.

• You ate popcorn.
• You saw a comedy.
• It is Thursday.
• It is not Thursday.
• It is the weekend if and only if it is Saturday or Sunday.
• If is not the weekend, then it not Saturday or Sunday.
• If it is not Saturday or Sunday, then it is not the weekend.
• It is not Saturday or Sunday if and only if it is the weekend.
• contrapositive
• Conditional Statement
• Contrapositive
• If you grow, then you will eat all of your vegetables.
• If you do not eat all of your vegetables, then you will not grow.
• If you do not grow, then you will not eat all of your vegetables.
• Switch and Negate
• Inductive reasoning
• Logical progression
• Deductive reasoning
• Normal reasoning
• we are wearing pink.
• we are not wearing pink.
• we don't have to wear pink.
• there is not enough information given.
• If I get smarter, I read a lot of books.
• If I read a lot of books, I won't get smarter.
• If I don't get smarter, then I don't read a lot of books.
• If I don't read a lot of books, I will get smarter.
• figure ABC is not a triangle.
• figure ABC is a triangle.
• figure ABC has three sides.
• If p then q
• If q then p
• If an angle is obtuse then it is greater than 90.
• If an angle is not greater than 90 then it is not obtuse.
• If an angle is not obtuse then it is not greater than 90.
• If an angle is greater than 90 then it is obtuse.
• Not true - 90 degrees
• Not true - 116 degrees
• Not true - 75 degrees
• If ~q, then p
• If p, then ~q
• If ~p, then q
• If ~p, then ~q
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Logical Reasoning Questions and Answers

Logical Reasoning involves the ability to use and understand logical connections between facts or ideas.

• In verbal reasoning , questions are expressed in words or statements and require the reader to think critically about the language used in order to choose the correct answer from the given options.
• Non-verbal reasoning meanwhile involves questions presented as images and figures, requiring the reader to comprehend how one element relates to another before selecting the right answer out of a list of potential answers.

Logical Reasoning is a key component of many competitive and reasoning ability-testing exams in India and abroad. Reasoning questions allow organizations to assess a candidate’s problem-solving skills, critical thinking capabilities, and capacity for logical and analytical thinking. 

Aptitude Questions such as Quantitative Aptitude and Logical Reasoning are considered essential skills for success in a wide range of competitive exams worldwide. These two sections often form the backbone of entrance exams, whether it’s for a public sector job in India or a university admission test in the United States.

Go through the following article to learn more about the various types of reasoning ability queries generally included in competitive tests.

Logical Reasoning Topics

Logical Reasoning is a crucial section in various competitive exams, and aspirants must study these topics to improve their problem-solving abilities and score better.

Types of Questions included in logical reasoning:

• Verbal Questions
• Puzzle Questions
• Image-Based Questions
• Sequence Questions

Topic-wise practice questions on logical reasoning:

• Number Series
• Letter and Symbol Series
• Verbal Classification
• Essential Part
• Artificial Language
• Matching Definitions
• Making Judgments
• Logical Problems
• Logical Games
• Analyzing Arguments
• Course of Action
• Statement and Conclusion
• Theme Detection
• Cause and Effect
• Statement and Argument
• Logical Deduction
• Letter Series
• Verification of the Truth of the Statement
• Coding Decoding
• Assertion and Reason
• Statement and Assumptions
• Logical Venn Diagram

Verbal Reasoning

Verbal reasoning is the cognitive ability to understand and interpret information presented in written or spoken language and apply logical reasoning to draw conclusions and solve problems.

It involves analyzing and evaluating information, making inferences and deductions, and identifying relationships between concepts and ideas. Verbal reasoning often tests a candidate’s language comprehension, critical thinking, and analytical skills and is commonly used in aptitude tests, job interviews, and higher education admissions.

A strong grasp of verbal reasoning can help individuals communicate effectively, think critically, and make informed decisions in their personal and professional lives.

Verbal Reasoning Questions and Answers Topics

• Logical Sequence of Words
• Blood Relation Test
• Series Completion
• Cube and Cuboid
• Seating Arrangement
• Character Puzzles
• Direction Sense Test
• Classification
• Data Sufficiency
• Arithmetic Reasoning
• Verification of Truth

Non-Verbal Reasoning

Non-verbal reasoning is the cognitive ability that involves questions presented as images and figures, requiring the reader to comprehend how one element relates to another before selecting the right answer out of a list of potential answers.

Non-verbal reasoning often tests a candidate’s ability to think creatively, solve problems, and make quick decisions, and is commonly used in aptitude tests, job interviews, and higher education admissions.

A strong grasp of non-verbal reasoning can help individuals develop their creativity, spatial awareness, and problem-solving abilities, making them more effective at tackling complex challenges in their personal and professional lives.

If you are a government exam aspirant or a student preparing for college placements, the reasoning is the topic that you need to practice thoroughly. Below are some topics that need to be practiced well for the reasoning section of the exam. So, let’s go through the following article to learn more about the various types of reasoning queries generally included in competitive tests.

Non-Verbal Reasoning Questions and Answers Topics

• Analytical Reasoning
• Mirror Images
• Water Images
• Embedded Images
• Pattern Completion
• Figure Matrix
• Paper Folding
• Paper Cutting
• Rule Detection
• Grouping of Images
• Dot Situation
• Shape Construction
• Image Analysis
• Cubes and Dice
• Picture Analogies

Logical reasoning is an important assessment tool for a wide range of competitive examinations. Questions in this section are designed to judge a candidate’s analytical and logical thinking abilities. Various types of reasoning questions are included in this section to test the student’s capacity for problem-solving, deduction, and inference.

Practicing questions is the only way to prepare for the reasoning test section. This way, even those who may struggle in this section can have an equal chance at success during exams or applications. The article contains concepts, questions, and topics of the reasoning section from the competitive exams and the placement exams’ point of view. 

FAQs – Logical Reasoning

Q1. what is logical reasoning  .

Logical reasoning involves the ability to use and understand logical connections between facts or ideas. The reasoning is a critical component of many tests and interviews. In order to perform well, it can be beneficial to practice doing reasoning questions with solutions available. 

Q2. What are logical reasoning questions? 

Logical reasoning questions can be both verbal and non-verbal: In verbal logical reasoning questions, questions are expressed in words or statements and require the reader to think critically about the language used in order to choose the correct answer from the given options and in non-verbal logical reasoning questions, it involves questions presented as images and figures, requiring the reader to comprehend how one element relates to another before selecting the right answer out of a list of potential answers.

Q3. What is the approach to solving reasoning questions? 

Follow the steps given below for preparation: 1. Practice with a timer and solve questions within the time limit. 2. Read the question carefully and try to understand the logic behind it. 3. Practice as many questions as you can and brush up on your skills.

Q4. Which book is good for the preparation of reasoning question sets? 

Students can practice from the following books: 1. A Modern Approach to Verbal & Non-Verbal Reasoning by R.S. Agarwal 2. Shortcuts in Reasoning (Verbal, Non-Verbal, Analytical & Critical) for Competitive Exams by Disha Experts 3. How to Crack Test of Reasoning by Arihant Experts

Q5. What is the syllabus of the Reasoning Aptitude section for competitive exams? 

Reasoning Aptitude covers a wide range of topics. Those topics are already given in the article. Aspirants must go through the article to learn about those topics and practice them thoroughly.

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113 Mathematical Reasoning & Aptitude Questions with Answers

This post consists more than 100 questions from Mathematical Reasoning & Aptitude from previous years UGC NET papers. this will help you to understand the pattern of questions comes under this section. Generally 5 out 50 questions comes from Mathematical Reasoning & Aptitude. New syllabus issued by the NTA is given in this post. this post also highlight the questions from each years. try to solve the questions.

Best of luck for your NTA UGC NET  preparation.

Mathematical Reasoning & Aptitude

( 5 Questions out of 50)

 Types of reasoning.  Number series, Letter series, Codes and Relationships.  Mathematical Aptitude (Fraction, Time & Distance, Ratio, Proportion and Percentage, Profit and Loss, Interest and Discounting, Averages etc.).

• In certain code, SELECTION is coded as QCJCARGML. The code of AMERICANS will be 1) YKCPGAYLQ (2) BNFSJDBMR (3) QLYAGPCKY (4) YQKLCYPAG
• In the series 3,11,23,39,59,……………. The next term will be (1) 63             (2) 73            3) 83   (4) 93
• Two railway tickets from city A to B and three tickets from city A to C cost ? 177. Three tickets from city A to B and two tickets from city A to C cost ? 173. The fare for city B from city A will be ? (1) 25         (2) 27          (3) 30          4) 33
• A person walks 10 m in front and 10 m to the right. Then every time turning to his left, he walks 5, 15 and 15 m respectively. How far is he now from his starting point ? (1) 20m       (2) 15 m         (3) 10 m            4) 5 m
• A is sister of B. F is daughter of G. C is mother of B. D is father of C. E is mother of D. A is related to D as 1) Granddaughter    (2) Daughter             (3) Daughter-in-law            (4) Sister
• In the series AB, EDC, FGHI, ….?…., OPQRST, the missing term is (1) JKLMN           (2) JMKNL          3) NMLKJ   (4) NMKU

DECEMBER 2015

• The next term in the Series 2,5,10,17,26, 37, ? is : 1) 50 (2) 57     (3) 62          (4) 72
• A group of 210 students appeared in some test. The mean of 1/3 rd of students is found to be 60. The mean of the remaining students is found to be 78. The mean of the whole group will be; (1) 80          (2) 76      (3) 74          4) 72
• Anil after travelling 6 km towards hast from his house realized that he has travelled i , wrong direction. He turned and travelled 12 km towards West, turned right anil travelled 8 km to reach his office. The straight distance of the office from his house is : (1) 20 km        (2) 11 km          (3) 12 km          4) 10 km
• The next term m the series : B2E, D5H, F12K, H27N, ? is (1) J561       (2) I62Q       (3) Q62J        4) J58Q
• A party was held in which a grandmother, father, mother, four sons, their wives and one son and two daughters to each of the sons were present. The number of females present in the party is : (1) 12     2) 14         (3) 18       (4) 24
• P and Q are brothers. R and S are sisters. The son of P is brother of S. Q is related to R as : (1) Son       (2) Brother         3) Uncle  (4) Father
• The next term in the series is: 2, 5, 9, 19, 37, ? (1) 73     2) 75     (3) 78 (4) 80
• In certain code MATHURA is coded as JXQEROX. The code of HOTELS will be : (1) LEQIBP    2) ELQBIP    (3) LEBIQP (4) ELIPQB
• One day Prakash left home and walked 10 km towards south, turned right and walked 5 km, turned right and walked 10 km and turned left and walked 10 km. How many km will he have to walk to reach his home straight ? (1) 10 (2) 20 3) 15 (4) 30
• A girl introduced a boy as the son of the daughter of the father of her uncle. The boy is related to the girl as: 1) Brother   (2) Uncle (3) Nephew (4) Son
• In an examination 10,000 students appeared. The result revealed the number of students who have : passed in all five subjects                           =  5583 passed in three subjects only                    =  1400 passed in two subjects only                       =  1200 passed in one subject only                         =  735 failed in English only                                  =  75 failed in Physics only                                 =  145 failed in Chemistry only                            =  140 failed in Mathematics only                       =   200 failed in Bio-science only                          =   157 The number of students passed in at least four subjects is : 1) 6300    (2) 6900 (3) 7300 (4) 7900
• At present a person is 4 times older than his son and is 3 years older than his wife. After 3 years the age of the son will be 15 years. The age of the person’s wife after 5 years will be: (1) 42 (2) 48 (3) 45 4) 50

DECEMBER 2014

• The next term in the series : AB, ED, IH, NM,  is   A)    TS     (B)    ST (C)    TU    (D)   SU
• If STREAMERS is coded as UVTGALDQR, then KNOWLEDGE will be coded as

(A)    MQPYLCDFD     B)    MPQYLDCFD 

(C)    PMYQLDFCD    (D)    YMQPLDDFC

• A is brother of B. B is the brother of C. C is the husband of D. E is the father of A. D is related to E as (A)    Daughter          B)    Daughter-in-law (C)    Sister-in-law    (D)    Sister
• Two numbers are in the ratio 3 : 5. If 9 is subtracted from the numbers, the ratio become 12 : 23. The numbers are (A)    30,50    (B)    36,60 C)    33,55     (D)    42,70
• The mean of the ages of father and his son is 27 years. After 18 years, father will be twice as old as his son. Their present ages are A)    42.12 (B)    40,14 (C)    30,24    (D)    36.18
• Digital Empowerment means (i)     Universal digit literacy (ii)    Universal access to all digital resources. (iii)   Collaborative digital platform for participative governance. (iv)   Probability of all entitlements for individuals through cloud.

Choose the correct answer from the codes given below : (A)   (i) and (ii) only           (B)    (ii) and (iii) only (C)   (i), (ii) and (iii) only    (D)    (i), (ii). (iii) and (iv)

• The next term in the series : 2,7,28.63, 126.    is A)    215    (B)    245 (C)    276    (D)    296
• Complete the series BB, FE, II, ML, PP, ………..by choosing one of the following option given: A) TS     (B) ST (C) RS (D) SR
• A man started walking from his house towards south. After walking 6 km, he turned to his left and walked 5 km. Then he walked further 3 km after turning left. He then turned to his left and continued his walk for 9 km. How far is he away from his house ? (A) 3km (B) 4 km C) 5 km     (D) 6 km
• In a post-office, stamps of three different denominations of rs7, rs 8, rs 10 are available. The exact amount for which one cannot buy stamps is A) 19   (B) 20 (C) 23 (D) 29
• In certain coding method, the word QUESTION is encoded as DOMESTIC. In this coding, what is the code word for the word RESPONSE ? (A) OMESUCEM (B) OMESICSM C)OMESICEM (D) OMESISCM
• If the series 4, 5, 8, 13, 14, 17, 22,…. is continued in the same pattern, which one of the following is not a term of this series ? (A) 31 (B) 32 C) 33   (D) 35

DECEMBER 2013

• In certain code TEACHER is written as VGCEJGT. The code of CHILDREN will be (A) EKNJFTGP B) EJKNFTGP (C) KNJFGTP (D) None of these
• A person has to buy both apples and mangoes. The cost of one apple is Rs 7 whereas that of a mango is Rs 5/-. If the person has Rs 38, the number of apples he can buy is (A) 1 (B) 2 (C) 3 D) 4
• A man pointing to a lady said, “The son of her only brother is the brother of my wife”. The lady is related to the man as (A) Mother’s sister (B) Grand mother (C) Mother-in-law D) Sister of Father-in-law
• In this series 6, 4, 1, 2, 2, 8, 7, 4, 2, 1, 5, 3, 8, 6, 2, 2, 7,1, 4, 1, 3, 5, 8, 6, how many pairs of successive numbers have a difference of 2 each ? (A) 4 (B) 5 C) 6    (D) 8
• The mean marks obtained by a class of 40 students is 65. The mean marks of half of the students is found to be 45. The mean marks of the remaining students is A) 85(B) 60 (C) 70 (D) 65
• Anil is twice as old as Sunita. Three years ago, he was three times as old as Sunita. The present age of Anil is (A) 6 years (B) 8 years C) 12 years (D) 16 years
• In a certain code GALIB is represented by HBMJC.     TIGER will be represented by A) UJHFS     (B) UHJSF (C) JHUSF     (D) HUJSF
• In a certain cricket tournament 45 matches were played. Each team played once against each of the other teams. The, number of teams participated in the tournament is (A) 8       B) 10 (C) 12     (D) 14
• The missing number in the series 40, 120, 60, 180, 90, ?, 135 is (A) 110    B) 270 (C) 105    (D) 210
• The odd numbers from 1 to 45 which are exactly divisible by 3 are arranged in an ascending order. The number at 6 th position is (A) 18   (B) 24 C) 33  (D) 36
• The mean of four numbers a, b, c, d is 100. If c = 70, then the mean of the remaining numbers is (A) 30           (B) 85/2 (C) 170/3      D) 110
• If the radius of a circle is increased by 50%, the perimeter of the circle will increase by (A) 20% (B) 30% (C) 40% D) 50%

DECEMBER 2012

• The missing number in the series : 0,6,24,60,120,?, 336, is (A) 240             (B) 220 (C) 280             D) 210 Explanation: 1*2*3 = 6, 2*3*4 = 24, 3*4*5=60,4*5*6=120,5*6*7=210,6*7*8=336
• A group of 7 members having a majority of boys is to be formed out of 6 boys and 4 girls. The number of ways the group can be formed is (A) 80               B) 100 (C) 90               (D) 110 Explanation: 6boys/1 girl: 6C6*4C1 = 1*4 = 4 5boys/2 girls: 6C5*4C2 = 6*6 = 36 4boys/3 girls: 6C4*4C3 = 15*4 = 60 so total = 4+36+60 = 100
• The number of observations in a group is 40. The average of the first 10 members is 4.5 and the average of the remaining 30 members is 3.5. The average of the whole group is (A)  4                  (B) 15/2 C) 15/4   (D) 6
• If MOHAN is represented by the code KMFYL, then COUNT will be represented by A) AMSLR (B) MSLAR      (C) MASRL      (D) SAMLR
• The sum of the ages of two persons A and B is 50. 5 years ago, the ratio of their ages was 5/3. The present age of A and B are A) 30,20  (B) 35, 15 (C) 38,12          (D) 40,10
• Let a means minus (-), b means multiplied by (x), C means divided by (/) and D means plus (+). The value of 90D9a29C10b2is (A) 8                  (B) 10 (C) 12               (D) 14
• Which is the number that comes next in the following sequence ? 2, 6, 12, 20, 30, 42, 56, _____ (A) 60 (B) 64  C) 72 (D) 70
• Find the next letter for the series YVSP ……… (A) N B) M (C) O (D) L
• Given that in a code language, ‘645’ means ‘day is warm’; ‘42’ means ‘warm spring’ and ‘634’ means ‘spring is sunny’; which digit represents ‘sunny’ ? A) 3    (B) 2 (C) 4 (D) 5

DECEMBER 2011

• What is the number that comes next in the sequence ? 2, 5, 9, 19, 37, ___ (A) 76 (B) 74 C) 75 (D) 50
• Find the next letter for the series MPSV..… (A) X B) Y (C) Z (D) A
• If ‘367’ means ‘I am happy’; ‘748’ means ‘you are sad’ and ‘469’ means ‘happy and sad’ in a given code, then which of the following represents ‘and’ in that code ? (A) 3 (B) 6 C) 9    (D) 4
• Determine the relationship between the pair of words NUMERATOR : DENOMINATOR  and then select the pair of words from the following which have a similar relationship : (A) fraction : decimal (B) divisor : quotient C) top : bottom  (D) dividend : divisor
• Find the wrong number in the sequence 125, 127, 130, 135, 142, 153, 165 (A) 130 (B) 142 (C) 153 D) 165

57 . If HOBBY is coded as IOBY and LOBBY is coded as MOBY;    then BOBBY is coded as (A) BOBY  B) COBY  (C) DOBY (D) OOBY

58 . The letters in the first set have certain relationship. On the basis of this relationship, make the right choice for the second set : K/T : 11/20 :: J/R : ? (A) 10/8  B) 10/18  (C) 11/19 (D) 10/19

• If A = 5, B = 6, C = 7, D = 8 and so on, what do the following numbers stand for? 17, 19, 20, 9, 8 (A) Plane B) Moped (C) Motor (D) Tonga
• The price of oil is increased by 25%. If the expenditure is not allowed to increase, the ratio between the reduction in consumption and the original consumption is (A) 1 : 3 (B) 1 : 4 C) 1 : 5 (D) 1 : 6
• How many 8’s are there in the following sequence which are preceded by 5 but not immediately followed by 3? 5 8 3 7 5 8 6 3 8 5 4 5 8 4 7 6 5 5 8 3 5 8 7 5 8 2 8 5 A) 4 (B) 5 (C) 7 (D) 3
• If a rectangle were called a circle, a circle a point, a point a triangle and a triangle a square, the shape of a wheel is (A) Rectangle (B) Circle C) Point (D) Triangle

DECEMBER 2010

• Determine the relationship between the pair of words ALWAYS :NEVER and then select from the following pair of words which have a similar relationship : A) often : rarely( B) frequently : occasionally (C) constantly : frequently (D) intermittently : casually
• Find the wrong number in the sequence : 52, 51, 48, 43, 34, 27, 16 (A) 27 B) 34 (C) 43 (D) 48
• In a certain code, PAN is written as 31 and PAR as 35, then PAT is written in the same code as (A) 30 B) 37 (C) 39 (D) 41
• The letters in the first set have certain relationship. On the basis of this relationship, make the right choice for the second set : AF : IK : : LQ : ? (A) MO (B) NP (C) OR D) TV
• If 5472 = 9, 6342 = 6, 7584 = 6, what is 9236 ? A) 2(B) 3 (C) 4 (D) 5
• In an examination, 35% of the total students failed in Hindi, 45% failed in English and 20% in both. The percentage of those who passed in both subjects is (A) 10 (B) 20 (C) 30 D) 40
• When an error of 1% is made in the length of a square, the percentage error in the area of a square will be (A) 0 (B) 1/2 C) 1 (D) 2
• On January 12, 1980, it was a Saturday. The day of the week on January 12, 1979 was (A) Thursday   B) Friday (C) Saturday  (D) Sunday
• If water is called food, food is called tree, tree is called earth, earth is called world, which of the following grows a fruit ? (A) Water  (B) Tree (C) World   D) Earth
• E is the son of A, D is the son of B, E is married to C, C is the daughter of B. How is D related to E ? (A) Brother  (B) Uncle (C) Father-in-law  D) Brother-in-law
• If INSURANCE is coded as ECNARUSNI, how HINDRANCE will be coded ? (A) CADNIHWCE (B) HANODEINR (C) AENIRHDCN D) ECNARDNIH
• Find the next number in the following series : 2, 5, 10, 17, 26, 37, 50, ? (A) 63  B) 65 (C) 67 (D) 69

DECEMBER 2009

• January 1, 1995 was a Sunday. What day of the week lies on January 1, 1996 ? (A)   Sunday           B)   Monday (C)   Wednesday    (D)   Saturday
• When an error of 1% is made in the length and breadth of a rectangle, the percentage error (%) in the area of a rectangle will be (A)   0    (B)   1 C)   2   (D)   4
• The next number in the series 2, 5, 9, 19, 37, ? will be (A)   74    B)   75 (C)   76    (D)   None of the above
• There are 10 true-false questions in an examination. Then these questions can be answered in (A)    20 ways    (B)   100 ways (C)    240 ways    D)   1024 ways
• What will be the next term in the following ? DCXW, FEVU, HGTS, ? (A)   AKPO    (B)   ABYZ C)   JIRQ (D)   LMRS
• Three individuals X, Y, Z hired a car on a sharing basis and paid Rs. 1,040. They used it for 7, 8, 11 hours, respectively. What are the charges paid by Y ? (A)   Rs. 290      B)  Rs. 320 (C)   Rs. 360       (B)  Rs. 440
• Insert the missing number in the following : 3, 8, 18, 23, 33, ?, 48 (A) 37 (B) 40 C) 38 (D) 45
• In a certain code, CLOCK is written as KCOLC. How would STEPS be written in that code? (A) SPEST (B) SPSET C) SPETS (D) SEPTS
• The letters in the first set have a certain relationship. On the basis of this relationship mark the right choice for the second set : BDFH : OMKI : : GHIK : ? (A) FHJL(B) RPNL(C) LNPR (D) LJHF Note: The answer for the question should be TQNL
• What was the day of the week on 1st January 2001 ? (A) Friday (B) Tuesday (C) Sunday (D) Wednesday Note: Above answers are wrong it should be Monday
• Find out the wrong number in the sequence. 52, 51, 48, 43, 34, 27, 16 (A) 27   (B) 34   (C) 43 (D) 48

DECEMBER 2008

• Insert the missing number in the following : 2/3 ,    4/7, ? , 11/21,  16/31 (A)     10/8    (B)     6/10    (C)     5/10    D)      7/13
• In a certain code, GAMESMAN is written as AGMEMSAN.   How would DISCLOSE be written in that code? A)    IDSCOLSE  (B)     IDCSOLES    (C)    IDSCOLES    (D)    IDSCLOSE
• The letters in the first set have a certain relationship.  On the basis of this relationship mark the right choice for the second set : AST : BRU : : NQV : ? (A)    ORW    (B)    MPU    (C)    MRW    D)    OPW
• On what dates of April 1994 did SUNDAY fall ? (A)    2,9,16,23,30     B)     3,10,17,24 (C)    4,11,18,25    (D)    1,8,15,22,29
• Find out the wrong number in the sequence : 125, 127, 130, 135, 142, 153, 165 (A)    130    (B)     142    (C)    153    D)    165
• If January 1st, 2007 is Monday, what was the day on 1st January 1995 ? A)    Sunday   (B)     Monday (C)    Friday    (D)    Saturday
• Insert the missing number in the following series : 4       16     8       64     ?        256 A)    16 (B)     24    (C)    32    (D)    20
• If an article is sold for Rs. 178 at a loss of 11%; what would be its selling price in order to earn a profit of 11%? (A)    Rs. 222.50    (B)     Rs. 267    C)    Rs. 222     (D)    Rs. 220

DECEMBER 2007

• Find out the number which should come at the place of question mark which will complete the following series:   5, 4, 9, 17, 35, ? = 139 (A)    149    (B)     79 (C)    49      D)    69

Questions 95 to 97 are based on the following diagram in which there are three interlocking circles I, S and P, where circle I stands for Indians, circle S for Scientists and circle P for Politicians. Different regions in the figure are lettered from a to f

• The region which represents Non-Indian Scientists who are Politicians : A)    f    (B)     d (C)    a    (D)    c
• The region which represents Indians who are neither Scientists nor Politicians : A)    g    (B)     c (C)    f    (D)    a
• The region which represents Politicians who are Indians as well as Scientists : (A)    b    (B)     c C)    a  (D)    d
• Which number is missing in the following series ? 2, 5, 10, 17, 26, 37, 50, ? (A)    63    B)     65 (C)    67    (D)    69
• Which is the number that comes next in the sequence ? 9,   8,   8,   8,   7,   8,   6, (A)    5    (B)     6 C)    8   (D)    4
• If in a certain language TRIVANDRUM is coded as 2 5 9 5 3 5 4 7 5 8, how would MADRAS be coded ? (A)    834536    (B) 834538 (C)    834530    (D) 834539 Hint: Ans (A) or (C) is correct . May be question or ans key is wrong Explanation: only last digit differs in all answers, since 8 = M & 9 = I as per the question, either 0 or 6 = S
• The question to be answered by factorial analysis of the quantitative data does not explain one of the following: (A)    Is ‘X’ related to ‘Y’? (B)    How is ‘X’ related to ‘Y’? (C)    How does ‘X’ affect the dependent variable ‘Y’ at different levels of another independent variable ‘K’ or ‘M’? D)    How is ‘X’ by ‘K’ related to ‘M’?
• January 12, 1980 was Saturday, what day was January 12, 1979 : (A)    Saturday    B)     Friday (C)    Sunday      (D)    Thursday
• How many Mondays are there in a particular month of a particular year, if the month ends on Wednesday? (A)    5     B)     4 (C)    3    (D)    None of the above

DECEMBER 2006

• In the sequence of numbers 8, 24, 12, X, 18, 54 the missing number X is : (A) 26 (B) 24 C) 36 ( D) 32
• If A stands for 5, B for 6, C for 7, D for 8 and so on, then the following numbers stand for 17, 19, 20, 9 and 8 : (A) PLANE B) MOPED (C) MOTOR (D) TONGA
• The letters in the first set have certain relationship. On the basis of this relationship what is the right choice for the second set ? AST : BRU : : NQV : ? (A) ORW (B) MPU (C) MRW D) OPW
• In a certain code, PAN is written as 31 and PAR as 35. In this code PAT is written as: (A) 30 B) 37 (C) 38 (D) 39
• The sides of a triangle are in the ratio of 1/2 :1/3 :1/4 If its perimeter is 52 cm, the length of the smallest side is : (A) 9 cm (B) 10 cm (C) 11 cm D) 12 cm
• Insert the missing number: 16/32, 15 /33, 17/31, 14/34 ? (A) 19/35           (B) 19/30           (C) 18/35          D) 18/30
• Monday falls on 20 th March 1995. What was the day on 3 rd November 1994? A) Thursday            (B) Sunday         (C)  Tuesday           (D) Saturday
• The average of four consecutive even numbers is 27. The largest of these numbers is: (A)36         (B) 32         C) 30  (D) 28
• In a certain code, FHQK means GIRL. How will WOMEN be written in the same code? A) VNLDM        (B) FHQKN           (C) XPNFO            (D) VLNDM
• At what time between 4 and 5 O’clock will the hands of a watch point in opposite directions? (A) 45min.past4                        (B) 40 min. past 4 (C) 50 4/11 min. past 4            D) 54 6/11 min. past 4

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5th Class Mathematics Logical Reasoning Question Bank

Done logical reasoning total questions - 30.

question_answer 1) In a line of boys, Kapil is 8th from the right and Nikunj is 12th from the left. When Kapil and Nikunj interchange their positions, Nikunj becomes 21st from the left. What will be the position of Kapil from the right?

A)  8th                               done clear

B)  17th                 done clear

C)         21st                 done clear

D)         None of these                done clear

question_answer 2) Which of the given options will complete the given pattern? 2Z5, 7Y7, 14X9, 23W11, 34V13, ?

A)  27U24                          done clear

B)  47V14  done clear

C)         45U15              done clear

D)         47U15 done clear

question_answer 4) M is older than R, Q is younger than R and N, N is not as old as M. Who is the eldest amongst all?

A)  M                    done clear

B)         R         done clear

C)         M or R  done clear

D)         Data inadequate done clear

question_answer 6)   Five girls are sitting on a bench facing North. Megha is to the left of Beena and to the right of Priya. Latika is to the right of Beena; Garima is between Beena and Latika. Who is second from the left?    

A)  Garima         done clear

B)  Latika              done clear

C)         Megha              done clear

D)         Beena                          done clear

question_answer 7) Count the number of triangles in the given figure.

A)  10                                done clear

B)  13                    done clear

C)         12                    done clear

D)         None of these                done clear

question_answer 10) Arijit correctly remembers that he visited Punjab before thirteenth of August but after ninth of August. His sister Trishika correctly remembers that Arijit visited Punjab after eleventh of August but before fourteenth of August. On which day of August did Arijit visit Punjab?

A)  Eleventh           done clear

B)  Twelfth done clear

C)         Tenth               done clear

D)         Thirteenth done clear

A)  35                                done clear

B)  36                    done clear

C)  37                    done clear

D)         38 done clear

A)  22                                done clear

B)  25                    done clear

C)  36                    done clear

D)         30 done clear

A)  \[3,\text{ }1,\text{ }2,\text{ }4.\text{ }5\]                       done clear

B)  \[3,\text{ }1,\text{ }2,\text{ }5,\text{ }4~\] done clear

C)                     \[3,\text{ }1.\text{ }4,\text{ }2.\text{ }5\]           done clear

D)         \[3,\text{ }1.\text{ }4,\text{ }5,\text{ }2\] done clear

A)  Mall                             done clear

B)  School  done clear

C)  Temple             done clear

D)  Park done clear

A)  11                                done clear

B)  2                     done clear

C)  4                     done clear

D)         1 done clear

A)  100                              done clear

B)  140                  done clear

C)  136                  done clear

D)         125 done clear

question_answer 18) Select the odd one out.

question_answer 19) If the first and sixth letters in the word 'COMPROMISE' were interchanged, also the second and seventh letters are interchanged and so on, which letter will be seventh letter from the right?

A)  I                                  done clear

B)  S                     done clear

C)         E                     done clear

D)         R                                 done clear

A)               Bus Stop                      done clear

B)  Hawker Centre done clear

C)                     MRT Station        done clear

D)        Library done clear

question_answer 22) Which of the following options best depicts the relationship amongst "Authors, Teachers, Men"?

question_answer 25) If in a certain code language, SUBSTITUTION is written as ITSBUSNOITUT. Then how will DISTRIBUTION be written in that language?

A)  IRTSIDNOITUB             done clear

B)  IRTSIDNOIBUT             done clear

C)  IRTDISNOITUB done clear

D)         IRTDISNOIUTB done clear

A)  28                                done clear

B)  24                    done clear

C)         25                    done clear

D)         27 done clear

A)  November 4      done clear

B)  November 16 done clear

C)                     November 22   done clear

D)         November 9 done clear

A)               1                                 done clear

C)                                  10                   done clear

D)         6 done clear

question_answer 30) In a certain code "pen" is called "pencil", "pencil" is called "eraser" and "erases"' is called -'book", then what will be used to erase something done wrong?

A)  pen                              done clear

B)  pencil   done clear

C)  eraser               done clear

D)  book done clear

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Logical Reasoning Questions for CLAT | QB Set 54

• by CLAT Buddy
• August 27, 2024 August 24, 2024

Maximize your CLAT preparation with Logical Reasoning Questions for CLAT | QB Set 54. This set includes a variety of challenging questions aimed at sharpening your logical reasoning and critical thinking abilities. Practising with these questions will help you become more familiar with the exam pattern and improve your accuracy. It’s an essential resource for self-assessment and thorough revision. Download Set 54 now and strengthen your CLAT preparation!

The answer key is here .