CAT Quantitative Aptitude Questions with Solutions: Free Download PDFs

Common Admission Test 2026 ( CAT )

Abhishek Dhawan
Updated on Jul 30, 2026 00:41 IST

By Abhishek Dhawan, Deputy Manager - MBA & BBA Content

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.

Cracking CAT Quantitative Aptitude (QA) is all about having complete control on both theory and practice. The difficulty level of this section of the exam is always high. CAT Quantitative Aptitude questions are mixed bag of tough, time-consuming and calculation-heavy Math problems. It is not mandatory to solve all 22 questions in CAT, but mandatory to prepare all the topics as the questions can be asked from anywhere.

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Quantitative Aptitude in CAT is calculation-intensive. Thus, clarity of concepts and theorems is essential. So, start with studying every topic from scratch. Once there is complete conceptual clarity, start solving sample CAT aptitude questions to improve efficiency in the application of formulae for 100 per cent accuracy. Mastering CAT Maths questions requires practice of a large number of questions of varied difficulty level. Practice about 5000 CAT Quants questions. Given below are a few CAT Quantitative Aptitude questions with solutions. Attempt these questions and check your preparation level for CAT 2026 exam.

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  • CAT Quant Sample Questions with Solutions
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CAT Quant Sample Questions with Solutions

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

Options:

a) 15.2%

b) 12.5%

c) 10.4%

d) 13%

2. N is a natural number having sum of it’s digits as 3. If 101314, then how many values can ‘N’ assume?

Options:

a) 93

b) 91

c) 78

d) 105 

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

a) 14

b) 10

c) 15

d) 8

4. Given 2 positive integers, ‘x’ and ‘y’ with x

a) 10 and 1990

b) 900 and 1880

c) 1 and 1890

d) 1 and 900

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Answered 17 hours ago

Candidates should spend no more than 1.5 to 2 minutes on an Odd One Out question.

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Abhishek Dhawan

Contributor-Level 10

Answered 17 hours ago

Many top scorers spend the first 8-10 minutes tackling independent VA questions, including Odd One Out and Para Summary, before settling into long RC passages.

Candidates preparing for CAT must devise a exam day plan based on how they perform during mocks.

V

Vikram Tyagi

Contributor-Level 7

Answered 17 hours ago

In most of the recent CAT exam sessions, Odd One Out questions have appeared as TITA (Type In The Answer) questions with no negative marking.

L

Loveleen Sharma

Contributor-Level 7

Answered 20 hours ago

Candidates can refer to How to Prepare for Logical Reasoning for CAT by Arun Sharma and DI & LR for CAT by Nishit K. Sinha. 

P

Porishmita Paul

Contributor-Level 10

Answered 20 hours ago

Yes, Caselets are important for CAT DILR. They help develop skills in interpreting data, identifying relationships and solving logical problems.

P

Porishmita Paul

Contributor-Level 10

Answered 20 hours ago

CAT does not have a fixed number of questions from Caselets. Usually, one Caselet-based set with 4-5 questions may appear in the DILR section.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

Candidates can refer to High School English Grammar and Composition by Wren and Martin. CAT previous-year questions, grammar exercises and mock tests are also useful.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

Yes, understanding Parts of Speech helps candidates improve grammar, sentence correction, para completion and overall Verbal Ability skills.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

CAT does not have a fixed number of questions from Parts of Speech. The topic is usually tested indirectly through grammar and Verbal Ability questions.

P

Porishmita Paul

Contributor-Level 10

Answered 21 hours ago

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