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.
Find Quant-based problems with solutions and shortcuts.
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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
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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CAT Exam
Student Forum
Anything you would want to ask experts?Answered 2 days ago
Some frequent traps in CAT exam are:
- Confusing the counts of original and new members in replacement vs. inclusion problems.
- Weighting by values instead of quantities or frequencies in weighted average setups.
R
Contributor-Level 7
Answered 2 days ago
Yes. Most CAT-level problems involving replacements, group additions, or combinations are designed to test logical shortcuts rather than heavy calculations.
N
Contributor-Level 7
Answered 2 days ago
Direct questions on Averages typically range from 1 to 2 per slot in the CAT exam. However, the concept appears across several other topics, including Mixtures & Alligations, etc.
R
Contributor-Level 7
Answered 3 days ago
Candidates can refer to How to Prepare for Logical Reasoning for CAT by Arun Sharma and DILR for CAT by Nishit K. Sinha.
P
Contributor-Level 10
Answered 3 days ago
Yes, Routes and Networks is an important topic for CAT DILR. It tests logical thinking, visualisation and the ability to analyse connections and pathways.
P
Contributor-Level 10
Answered 3 days ago
CAT does not have a fixed number of questions from Routes and Networks. The topic may appear as part of a DILR set, usually comprising 4-5 questions.
P
Contributor-Level 10
Answered 3 days ago
Candidates should spend no more than 1.5 to 2 minutes on an Odd One Out question.
Contributor-Level 10
Answered 3 days 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
Contributor-Level 7
Answered 3 days 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
Contributor-Level 7
Answered 3 days 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
Contributor-Level 10
4.6
XAT 2027 Form Correction Oct '26 - Oct '26
What are the common traps in CAT Averages questions?