CAT Quantitative Aptitude Questions with Solutions; Download PDFs

CAT Quantitative Aptitude cannot be mastered without practice. No matter how well you have memorised formulae, their application can be learnt only when you solve CAT Maths questions. Shiksha.com brings to you CAT Quant questions with solutions for practice along with downloadable PDFs.

CAT Quantitative Aptitude (QA) questions of high difficulty level. The 22 questions are mixed bag of tough, time consuming and calculation heavy Math problems. It is not mandatory to attempt all CAT Quant questions, but it is important to attempt the questions accurately. CAT Quantitative Aptitude covers major topics of Mathematics studied in Class 9 and 10 but of advance level. If you prepare right, you can score 100 percentile in this section. Geometry, Algebra, Trigonometry, Mensuration and Modern Math form the basis of CAT questions for Quantitative Aptitude. For your CAT 2025 preparation, you must include practice sessions for every CAT quant topic so that you have the experience and knowledge of solving all types of questions. Shortcut calculations, formulae application, etc. are supposed to be at the tip of your tongue. 

MBA aspirants often prepare for multiple entrance exams simultaneously. If they prepare for CAT exam well, they will be able to handle other MBA entrance exams too. QA preparation for CAT and other MBA entrance exams such as XAT, SNAP, CMAT, NMAT and MAT exam, should be divided into two parts.

1. Understanding Quantitative Aptitude topics and concepts
2. Practicing CAT Quant questions and mock tests series

Quantitative Aptitude in CAT is calculation intensive and even if you have studied Maths in graduation, you need to have complete clarity of concepts and theorems. So, start with studying every topic from scratch. Once there is complete conceptual clarity, start solving sample CAT aptitude questions to improve efficiency in application of formulae for 100 per cent accuracy.

CAT Algebra questions and CAT geometry questions, CAT percentage questions and CAT time and distance questions are usually of high difficulty level and require more practice than other CAT topics. Overall, mastering the CAT Maths questions require practice. Given below are a few CAT Quantitative Aptitude questions with solutions. Attempt these questions and check your preparation level for CAT 2025 exam and other MBA entrance exams.

CAT Preparation 2025: Solved CAT Quant 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.

CHECK OUT:

• CAT Preparation: Verbal Ability (VA) solved questions
• CAT Preparation: Data Interpretation (DI) solved questions
• CAT Preparation: Data Interpretation (DI) solved questions - Part 2
• CAT Preparation: Logical Reasoning (LR) solved questions
• CAT Preparation: Logical Reasoning (LR) solved questions-Part 2

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

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