CAT Quantitative Aptitude Questions with Solutions

CAT Quantitative Aptitude Questions with Solutions

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Vipra Shrivastava
Senior Manager - Content
Updated on Feb 13, 2024 18:25 IST

CAT Quantitative Aptitude cannot be mastered without practice questions. 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 preparation: QA

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. 

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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. 

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.

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  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.

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 it’s digits as 3. If 101314, then how many values can ‘N’ 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?

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

4. Given 2 positive integers, ‘x’ and ‘y’ 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 ‘a’ is positive and a4 – 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 P’s car.

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

9. PQR is an isosceles right angled triangle with ?QPR = 90°. 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 – (n – 1)2, then find the sum of the first n terms of the series.


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 ‘t’ minutes. If the task was completed in 210 minutes, then find the value of ‘t’. (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:

About the Author
Vipra Shrivastava
Senior Manager - Content

Vipra is a massive Breaking Bad fan. When not watching crime drama series, she spends time in updating the list of places she wants to visit and people she wants to meet, but she is happiest in the company of dogs. ... Read Full Bio

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