CAT Quantitative Aptitude Questions with Solutions

# CAT Quantitative Aptitude Questions with Solutions

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Vipra Shrivastava
Senior Manager - Content
Updated on Jun 28, 2024 15:00 IST

CAT Quantitative Aptitude cannot be mastered without practice questions.No matter how well you know the formulae, their application can be learnt only through practice questions. Shiksha.com brings to you CAT Quantitative Aptitude questions for solutions for practice. Try these sample questions and check your Quant preparation level for CAT 2024.

CAT Quantitative Aptitude (QA) section has 22 questions. It is not mandatory to attempt all CAT questions, but it is important to attempt questions accurately. CAT Quantitative Aptitude covers major topics of Mathematics studied in Class 9 and 10 but of advance level. Most of the times, the CAT Quantitative Questions are of higher difficulty level. Geometry, Algebra, Trigonometry, Mensuration and Modern Math form the basis of CAT questions for this section. When you prepare for the CAT, you must inlcude practice sessions for every section so that you have the experience and knowledge of solving all types of questions. In CA Quantitative Aptitude section, practice is even more essential.

MBA aspirants often prepare for multiple entrance exams simultaneously, must ensure that no topic is left behind. However, if they prepare for CAT exam well, they will be able to handle other exams too. QA preparation for CAT and other MBA entrance exams such as XAT, SNAP, CMAT, NMAT, MAT and IIFT exam, should be divided into two parts.

Q: Â  What is the structure of CAT question paper?

A:
The CAT question paper structure has remained unchanged since 2014 when there were only two sections. Quantitative Aptitude was clubbed with Data Interpretation and Logical Reasoning was clubbed with Verbal Ability and Reading Comprehension. In 2015, the Data Interpretation and Logical Reasoning were clubbed together and Quantitative Aptitude and Verbal Ability and Reading Comprehension made two individual sections. Since 2015, the sectional segregation has remained the same but the number of questions have come down from 100 to 66. The exam duration has also been reduced. Until 2019, the CAT exam was of 180 minutes and the total number of questions were 100. However, in 2020, the question paper structure was revised due to COVID-19 pandemic. In 2020, the total number of questions came down to 76. In 2021 and 2022, the number of questions were further lowered to 66. For the last two years, CAT is conducted for 2 hours, and the number of questions is 66. The latest CAT question paper structure is: Total questions: 66 Number of sections: 3 Order of sections - 1. VARC 2. DILR 3. Quantitative Aptitude Sectional time limit: 40 minutes VARC questions: 24 DILR questions: 20 Quantitative Aptitude questions: 22.

Q: Â  Which CAT slot has the toughest question paper?

A:
There is no pattern to which CAT question paper can be the toughest. The CAT question paper of every slot has unique questions. The examination body strives to maintain the same difficulty level of the paper across all slots but it may happen that a question can be more difficult from another. It is seen that, to keep the uniqueness of the question paper intact, the examination authority also changes the topic wise weightage a little bit across the exam slots. In most of the previous years, it is seen that the morning slot of the CAT exam is tougher than the rest two. However, candidates must not worry about the difficulty level of the slots as, the scores of all the candidates are normalised on a common scale to root out the possibility of advantage or disadvantage to any student due to difference in difficulty level. To know how the CAT scores are normalised, read this article: https://www.shiksha.com/mba/articles/understanding-cat-normalization-process-blogId-9386.

Q: Â  What are the important topics that usually dominate the SNAP question paper?

A:

Candidates preparing for SNAP exam must study all the topics included in the SNAP syllabus i.e. General English and Quantitative Ability, Data Interpretation & Data Sufficiency and Analytical and Logical Reasoning.

Some of the important topics of SNAP General English section are Passages, Syllogisms, Analogies, Grammar, Antonym-Synonym, One Word Substitution, Similar Sounding Words, Parajumbles and Fill in the Blanks.

Some of the important topics of SNAP Quantitative Ability, Data Interpretation & Data Sufficiency section are Trigonometry, Geometry, Algebra, Ratio and Proportion, Percentages, Partnership, Time-Speed-Distance and Data Interpretation.

Some of the important topics of SNAP Analytical and Logical Reasoning are Column Graphs, Pie Chart, Coding and Decoding and Puzzles.

SNAP aspirants must focus on these topics during exam preparation to score well. Most of the questions will be asked from these topics only.

1. Understanding topics and concepts
2. Practicing CAT quants questions and mock tests

Quantitative Aptitude in CAT are calculation intensive and even if you have studied it till graduation, you need to have complete clarity of concepts and theorems. Once there is complete conceptual clarity, start solving sample CAT questions to improve efficiency in application of formulae for 100 per cent accuracy in solving. CAT Algebra questions and CAT geometry questions, CAT percentage questions and CAT time and distance questions are usually of high difficulty level and require practice. Overall, mastering the CAT Mathematics questions require practice. Given below are a few CAT Quantitative Aptitude questions with solutions. Attempt these questions and check your preparation level for CAT 2024 exam and other MBA entrance exams.

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## CAT Preparation 2024: Solved CAT Quantitative Aptitude Questions for Practice

### CAT Percentage Questions

DIRECTIONS for questions 1 to 5: Answer the question independently.

1. A dishonest shopkeeper sells sugar at cost price but makes 25% profit by using faulty weights. He decides to give a discount to attract more customers. What percent of discount should he offer to make 12% profit?

1] 15.2%                2] 12.5%                3] 10.4%                4] 13%

2. N is a natural number having the sum of itâ€™s digits as 3. If 101314, then how many values can â€˜Nâ€™ assume?

1] 93       2] 91       3] 78       4] 105

3. Two barrels A and C contain alcohol and water in the ratio 1:a and 1:c, respectively. Equal quantity of mixtures from barrels A and C are mixed to get a mixture with alcohol and water in the ratio 1:b, where b is the arithmetic mean of a and c. What can be the value of a b c, if a, b and c are integers?

Q: Â  Which section of CMAT question paper has the maximum weightage?

A:
All the five sections of CMAT question paper has equal weightage of 20 questions. Each question carries four marks for correct attempt. One mark is deducted per incorrect entry. There is no marks deduction for unanswered question. Therefore, each section of CMAT will have equal weightage of 80 marks. Given below is the sectional weightage of CMAT exam. 1. English Comprehension: 20 questions, 80 marks 2. General Knowledge: 20 questions, 80 marks 3. Quantitative Techniques and Data Interpretation: 20 questions, 80 marks 4. Data Interpretation and Reasoning: 20 questions, 80 marks 5. Innovation and Entrepreneurship: 20 questions, 80 marks Since, all the sections of CMAT have same weightage, it is important for candidates to prepare for each section well. If you will score equally will in every section, only then will your overall score will be good. Also, many colleges consider sectional scores as well for admission shortlist so it is important to perform equally well in all sections of CMAT.

Q: Â  What is the total number of questions in MAT exam?

A:

MAT exam has 150 multiple-choice questions equally divided into five sections - Language Comprehension, Intelligence and Critical Reasoning, Data Analysis and Sufficiency, Mathematical Skills and Indian and Global Environment. Each section of the exam has 30 questions. The questions are in MCQ format with four options to choose the correct options from. Given below is the sectional break up of MAT question paper. All three modes of exam have the same weightage.

Language Comprehension: 30 questions

Intelligence and Critical Reasoning: 30 questions

Data Analysis and Sufficiency: 30 questions

Mathematical Skills: 30 questions

Indian and Global Environment: 30 questions

Since there is no sectional time limit in MAT candidates can divide time between all the five sections according to their own exam strategy and target score. The score of Indian and Global Environment section is not taken into consideration for percentile calculation, thus candidates should not spend more than 10-15 minutes on it.

Q: Â  What is the benefit of solving official CMAT question papers?

A:
Solving previous year CMAT question papers is very important for optimising your performance in the exam. There are several benefits of practicing the official CMAT question paper but one of the most important benefits is that the candidate will know the latest exam pattern and difficulty level. The CMA question papers are set by the examination authority on the basis of questions asked in last 10 years or so. Thus, if you practice CMAT previous year papers, you will be familiar with all types of questions asked in the exam in the last few years. Since, MBA entrance exams are all about speed and accuracy, it is very important to be familiar with the types of questions. CMAT question papers help you in time management skills as well as the skill to choose the right questions to ask. Candidates must solve CAT question papers of at least last five years for best results.

Q: Â  Are the question papers of all SNAP sessions same?

A:

The question papers of all SNAP sessions are same but the questions are different. The pattern, structure, difficulty level and marking scheme are the same for all SNAP sessions but every question paper has unique questions. This is done so that no candidate has any advantage or disadvantage when they appear for the next attempt. Candidates preparing for the SNAP exam, must keep in mind that the different sessions could be of different difficulty level. If their first attempt was easy, the second attempt may not be easy. So, it is important continue to prepare and practice during the gap between two SNAP sessions. The best score of all the sessions will be taken into consideration for SIU personal interview shortlisting.

Q: Â  How many questions are asked in the NMAT exam?

A:

As per the NMAT exam pattern, as many as 108 questions are asked from three sections collectively. Each section of NMAT exam has 36 questions. The sections for NMAT exam with question weightage is as follows:

• Language Skills: 36

• Logical Reasoning: 36

• Quantitative Skills: 36

Candidates need to answer all the questions within 120 minutes. The 120 minute time-frame of NMAT exam is divided into sectional time frames. Questions under each section must be answered within the specified time limit.

1] 14       2] 10       3] 15       4] 8

4. Given 2 positive integers, â€˜xâ€™ and â€˜yâ€™ with x

1] 10 and 1990    2] 900 and 1880    3] 1 and 1890    4] 1 and 900

5. Ajay plans to host a lunch for his friends at a restaurant. He decides to keep 1 starter and 2 main courses for the lunch. From the menu, he realizes that there are only 15 ways to fulfill his requirement. What can be the total number of dishes available on the menu?

1] 4         2] 5         3] 6         4] 7

6. If â€˜aâ€™ is positive and a4 â€“ 62a2    1 = 0, find the value of a3 1/a3

1] 648    2] 392    3] 488    4] 512

7. A six-faced unbiased die is thrown ten times. The results of these ten throws are written side by side, from left to right so as to form a ten-digit number, such that the first four digits form a four digit number which is the greatest four-digit square possible. Similarly, the next three digits, next two digits and the last digit form the greatest possible three-digit, two-digit and one-digit perfect squares respectively. Find the sum of digits of that ten-digit number.

1] 45       2] 46       3] 42       4] Cannot be determined

### CAT Time and Distance Questions

8. On a 120 kms racing track, if P and Q start driving in the same direction from the same point and at the same time, then P wins the race by 25 minutes. If they drive towards each other from the opposite ends on the same track starting at the same time, the distances that P and Q cover when they meet are in the ratio 3:2. Find the speed of Pâ€™s car.

1] 96 kmph            2] 48 kmph            3] 144 kmph         4] 72 kmph

9. PQR is an isosceles right angled triangle with ?QPR = 90Â°. Semicircles are drawn with PQ and PR as diameters. Find the ratio of the area of the shaded region to the area of the triangle PQR.

10. If the nth term of a series is Tn = n3 â€“ (n â€“ 1)2, then find the sum of the first n terms of the series.

CHECK OUT:

11. A task was given to a manager who had 14 members in his team. At any moment of time exactly 10 members worked simultaneously on the task. Since, the manager had to be fair in his work allocation, he allocated the task among the workers in such a way that each member worked on the task for exactly â€˜tâ€™ minutes. If the task was completed in 210 minutes, then find the value of â€˜tâ€™. (Assume the efficiency of each of the members of the team is the same)

1] 15       2] 150    3] 21       4] 60

Content courtesy:

Alok Bansal has been the Director (2012-2018) of a popular coaching institute that trains students for MBA entrance exams like CAT, XAT  and GMAT.

## CAT Quantitative Aptitude Questions for Practice PDFs

Download free PDFs of CAT aptitude questions for practice. If you practice these questions in the last leg of your CAT 2024 preparation, you will score better:

 CAT QA Easy Test- Set 1 CAT QA Easy Test Set-1 Solutions CAT QA Medium Test-Set 1 CAT QA Medium Test- Set 1 Solutions CAT QA Difficult Test- Set 1 CAT QA Difficult Test- Set 1- Solutions
 CAT QA Easy Test Set 2 CAT QA Easy Test Set 2 Solutions CAT QA Medium Test Set 2 CAT QA Medium Test Set 2 Solutions CAT QA Difficult Test Set 2 CAT QA Difficult Test Set 2 Solutions
 CAT QA Easy Test Set 3 CAT QA Easy Test Set 3 Solutions CAT QA Medium Test Set 3 CAT QA Medium Test Set 3 Solutions CAT QA Medium Test Set 3 CAT QA Easy Test Set 3 Solutions
 CAT QA Easy Test Set 4 CAT QA Easy Test Set 4 Solutions CAT QA Medium Test Set 4 CAT QA Medium Test Set 4 Solutions CAT QA Difficult Test Set 4 CAT QA Difficult Test Set 4 Solutions
 CAT QA Easy Set 5 CAT QA Easy Set 5 Solutions CAT QA Medium Set 5 CAT QA Medium Set 5 Solutions CAT QA Difficult Set 5 CAT QA Difficult Set 5 Solutions