December 10, 2025
Overview: Preparing for the CAT exam becomes much easier when you solve high-quality CAT Quantitative Aptitude questions every day. The Quant section is conceptual, calculation-heavy, and often decides your overall CAT percentile.
On this page, you’ll find 100+ CAT Quantitative Aptitude questions with answers in a FREE downloadable PDF, curated as per the latest CAT 2025–2026 pattern. These CAT quant questions with solutions PDF files are perfect for daily practice.
Download the CAT Quant questions PDF and start solving now to strengthen your QA section before the CAT 2026 exam.
Check | CAT Exam Analysis Slot 1, Slot 2 and Slot 3
Get access to the complete CAT 2026 Study Plan, and download the CAT Quantitative Aptitude Questions with Solutions PDF to strengthen your problem-solving skills effectively.
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Quantitative Aptitude (QA) is one of the three sections in the CAT exam, alongside Verbal Ability and Reading Comprehension (VARC) and Data Interpretation and Logical Reasoning (DILR). It tests how comfortably you can work with numbers, apply formulas and interpret data under time pressure.
In simple words, the CAT Quantitative Aptitude questions check your command over school-level Maths (up to Class 10) – but at a much higher conceptual and application level. Most questions are based on topics like Arithmetic, Algebra, Geometry, Number System and Modern Maths.
Because of the strict timer and mixed question types, you must regularly practise Quantitative CAT Aptitude questions with answers to improve both accuracy and speed before CAT 2026.
Before you download the full CAT Quant questions PDF, try solving this handpicked set of CAT exam Quantitative Aptitude questions with solutions. Attempt each question in exam-like conditions (about 2 minutes per question) and then compare your answers with the correct options given below.
These CAT Quant sample questions cover high-weightage topics like Arithmetic, Algebra, Percentages, Ratio and Proportion, Averages, Time–Speed–Distance and Simple Interest, based on recent CAT exam trends.
Sample CAT Quant questions 2026 are as follows:
Q1. Peter received 30% of the total marks and failed by ten marks, whereas John received 40% and scored 15 marks more than the passing marks. Find the passing marks.
a) 250
b) 150
c) 70
d) 85
Answer - d) 85
Check | CAT 2025 Cut Offs
Q2. In a Tennis tournament, John has played 60 matches so far and won 60% of them. If he wins 37.5% of the remaining matches, their overall win percentage will be 50%. Suppose he wins 75% of the remaining matches, then the total number of matches lost by him in the tournament will be
a) 24
b) 36
c) 42
d) 48
Answer - b) 36
Q3. A class has 120 students; each one has majored either in Arts or in Science. 3% of students who have majored in Arts is equal to 9% of the students who have majored in science. Find the number of students who have majored in Arts.
a) 80
b) 100
c) 60
d) 90
Answer - d) 90
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Q4. Two numbers a and b are inversely proportional to each other. If "a" increases by 50%, then b decreases by:
a) 25%
b) 100%
c) 50%
d) 33.33%
Answer - d) 33.33%
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Q5. In an election between 2 candidates, A and B, A received 46% of the total valid votes and lost the election by 1440 votes. If 10% of the votes were invalid, find the number of votes polled in the election.
a) 20,000
b) 19,000
c) 19900
d) 18100
Answer - a) 20,000
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Q6. John spends 30% of his salary on his house rent. He spends 20% of his remaining salary on food, 20% of the remaining salary for commuting to the office, and 25% of the remaining salary on entertainment. If he is left with INR 16800, then find the house rent paid by John.
a) INR 50000
b) INR 35000
c) INR 25000
d) INR 15000
Answer - d) INR 15000
Check | CAT Exam Cut Off Trends
Q7. In a class, 60% of the students are boys, which is 40 more than the number of girls. Suppose 44% of the students were selected for a quiz competition, including 60 boys. What percentage of the girls are not selected for quiz competitions?
a) 58%
b) 65%
c) 60%
d) 52%
Answer - b) 65%
Q8. A company processes the fresh juice pulp of fruits to prepare the Jam. Find the number of KG of juice pulp required to make 800 KG of Jam; fresh juice pulp consists of 75% liquid, and jam consists of 5% liquid.
a) 3040
b) 2850
c) 2950
d) 3250
Answer - a) 3040
Check | CAT Exam Notification
Q9. The average temperature on the 1st four days of the week is 36 degrees, and on the last four days is 39 degrees. If the average temperature for the entire week is 37 degrees, find the temperature on the 4th day.
a) 37 degrees
b) 38 degrees
c) 39 degrees
d) 41 degrees
Answer - d) 41 degrees
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Q10. A tank has a 240 litres mixture of syrup and water in a ratio of 5:7: 40 litres of the mixture is replaced with water, and then 48 litres of the mixture is replaced by water and again 60 litres of the mixture is replaced by water. Find the amount of syrup remaining in the tank.
a) 40 litres
b) 50 litres
c) 60 litres
d) 80 litres
Answer - c) 60 litres
Check: CAT Exam Answer key
Q11. The average mark scored by 5 friends is 84; the average decreased by 4 when the score of John is added. Find the marks scored by John.
a) 60
b) 64
c) 65
d) 70
Answer - a) 60
Check | How to download CAT Admit Card
Q12. The cost of a glass slab is directly proportional to the square of its thickness. Find the cost of the slab with a thickness of 3mm if the slab with a thickness of 4mm costs Rs. 64.
a) Rs 56
b) Rs . 48
c) Rs . 45
d) Rs . 36
Answer - d) Rs 36
Q13. A shopkeeper mixes 2 oils 1 and 2. One litre of oil 1 weighs 1 KG and one litre of oil 2 weighs 800 g. If 750ml of the mixture weighs 720 gm, then the percentage of oil 1 in the mixture, in terms of volume, is
a) 60%
b) 70%
c) 80%
d) 90%
Answer - c) 80%
Read More: CAT Exam Pattern
Q14. Charan started the business with an investment of Rs. 300000, and Kiran invested Rs. 600000 three months later. As Charan is an active partner, he receives 20% of the profit as a salary. Find the total amount received by Charan if the profit at the end of a year is Rs. 2000000.
a) Rs. 1200000
b) Rs. 1040000
c) Rs. 960000
d) Rs. 112000
Answer - b) Rs. 1040000
Q15. If John goes at a speed of 12 km/h, he will be 20 minutes late, and if he travels at a speed of 18km/ h, he will be 10 minutes early. Find the distance if it is the same in both cases.
a) 17 KM
b) 18 KM
c) 19 KM
d) 20 KM
Answer - b) 18 KM
Check: CAT Exam Previous Year Question Papers
Q16. A person invests a sum of ₹5,000 in a scheme that offers simple interest at a rate of 8% per annum. The money remains invested for 3 years. Calculate the total amount the person will receive at the end of the investment period, including the principal and interest.
A. ₹6,200
B. ₹6,000
C. ₹6,400
D. ₹6,500
Answer: A. ₹6,200
Check: How to prepare for CAT Quantitative Aptitude Syllabus
Explanation: Simple Interest (SI) = (Principal × Rate × Time) / 100
SI = (5000 × 8 × 3) / 100 = ₹1,200
Total Amount = Principal + Interest = ₹5,000 + ₹1,200 = ₹6,200
Q17) A shopkeeper buys an article at ₹500 and sells it at a profit of 20%. What is the selling price of the article?
A. ₹550
B. ₹600
C. ₹580
D. ₹620
Answer: B. ₹600
Read More: CAT Total Marks
Explanation: Selling Price (SP) = Cost Price (CP) × (1 + Profit Percentage)
SP = 500 × (1 + 20/100) = 500 × 1.20 = ₹600
Q18) A car is travelling a distance of 300 kilometres in a time span of 5 hours. Determine the car's average speed in kilometres per hour (km/h).
A. 50 km/h
B. 55 km/h
C. 60 km/h
D. 65 km/h
Answer: C. 60 km/h
Explanation: Average Speed = Total Distance / Total Time
Average Speed = 300 / 5 = 60 km/h
Check: CAT Score vs Percentile
If you found these CAT Exam Quantitative Aptitude questions with answers helpful, don’t stop here. Download the complete CAT Quant questions with solutions PDF from this page and practise 100+ exam-level questions topic-wise for CAT 2026.
The CAT Exam Quantitative Aptitude questions are drawn from a well-defined but broad QA syllabus. Most of the CAT Quant questions PDF you practise will come from the following five major areas:
For full chapter-wise coverage, refer to the detailed CAT QA syllabus and then use the CAT Quant questions PDF on this page to practise each topic in a structured way.
In CAT 2026, the QA section will include two main types of CAT Exam Quantitative Aptitude questions:
The topic-wise CAT Exam Quantitative Aptitude questions with solutions PDF provided here includes a similar mix of MCQ and TITA-style questions to mirror the real exam experience.
Understanding this CAT Quantitative Aptitude questions pattern 2026 will help you plan how many questions to attempt and how to use the CAT Quant questions PDF for timed practice sets.
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To use the CAT Quant questions PDF effectively, you should first know which subtopics are most important within each major area. The table below summarises the key areas from which CAT Quantitative Aptitude questions are frequently asked.
| Major Topic | Key Subtopics | What CAT QA Questions Usually Test |
|---|---|---|
| Arithmetic | Profit & Loss, Percentages, Ratio & Proportion, Simple & Compound Interest, Averages & Mean/Median/Mode, Mixtures & Alligations, Time & Work, Time–Speed–Distance | Daily-life word problems, percentage change, comparisons, rate-based questions and application of basic arithmetic formulas. |
| Algebra | Algebraic identities, Linear & Quadratic Equations, Inequalities, Functions, Sequences & Series, Problems on Ages, Integer Solutions, Higher-degree equations, Graph-based questions, Logarithms, Maxima–Minima | Translating statements into equations, manipulating expressions, analysing graphs and understanding behaviour of functions. |
| Number System | Basics & Properties of Numbers, Divisibility rules, Factors, HCF & LCM, Remainders, Cyclicity & Last digit/Last two digits, Binomial theorem-based remainders, Trailing zeros, Base systems & conversions | Strong fundamentals of integers, divisibility, modular arithmetic and pattern recognition in numbers. |
| Geometry & Mensuration | Lines & Angles, Triangles (similarity, area, angles), Polygons, Circles, Coordinate Geometry, Trigonometry basics, 2D &a |
The CAT Quant section is a mix of MCQs and TITA (Type In The Answer) questions. Understanding the difference between these formats is crucial for maximising your score in CAT Quantitative Aptitude questions.
A good strategy is to prioritise the TITA-based CAT Quantitative Aptitude questions where you are confident, since they involve zero penalty for incorrect attempts, and then move to moderate-difficulty MCQs. The topic-wise CAT Quant questions PDF on this page includes both MCQ and TITA-style questions so you can build this exam strategy during practice.
|
Question Paper Slot |
TITA |
Non-TITA |
|
2023 - Slot 1 |
8 |
14 |
|
2023 - Slot 2 |
8 |
14 |
|
2023 - Slot 3 |
8 |
14 |
|
2022 - Slot 1 |
8 |
14 |
|
2022 - Slot 2 |
8 |
14 |
|
2022 - Slot 3 |
8 |
14 |
|
2021 - Slot 1 |
8 |
14 |
|
2021 - Slot 2 |
8 |
14 |
|
2021 - Slot 3 |
8 |
14 |
|
2020 - Slot 1 |
8 |
18 |
|
2020 - Slot 2 |
8 |
18 |
|
2020 - Slot 3 |
8 |
18 |
If you are aiming for a 95+ percentile, mastering CAT Quantitative Aptitude questions 2026 is non-negotiable. The QA section is not just “one more part” of the paper – it plays a decisive role in your overall CAT score and IIM calls.
|
CAT Quant topics 2024 |
Slot 1 (Number of CAT Quant Questions) |
Slot 2 (Number of CAT QA questions) |
Slot 3 (Number of CAT Quant Questions) |
|
Number System (Remainder, Indices) |
2 |
2 |
2 |
|
Algebra (Log, Equations, Functions, Maxima-Minima, Sequence & Series, Algebraic Expression) |
8 |
8 |
8 |
|
Arithmetic (TSD, T&W, SI-CI, Percentage, PLD, Mixture, Averages, Ratios) |
8 |
8 |
8 |
|
Modern Math (P&C) |
1 |
1 |
1 |
|
Geometry (Circle, Cuboid/Square, Coordinate Geometry) |
3 |
3 |
3 |
|
CAT quant topic-wise weightage |
CAT 2023, Slot 1 |
CAT 2023, Slot 2 |
CAT 2023, Slot 3 |
|
Number System (Surds, Factors, Indices, Integral Values) |
1 |
3 |
4 |
|
Algebra (Log, Equations, Surds, Sequence & Series) |
8 |
7 |
7 |
|
Arithmetic TSD, T&W, Ratio, SI & CI, PLD, Mixture, Clock |
9 |
9 |
8 |
|
Modern Math (P&C) |
1 |
- |
- |
|
Geometry & Mensuration (Triangle, Quadrilateral, Coordinate Geo Circle) |
3 |
3 |
3 |
|
Total |
22 |
22 |
22 |
Here is the CAT Quant Topic Wise Weightage 2022
|
CAT quant topic-wise weightage |
CAT 2022, slot 1 |
CAT 2022, slot 2 |
CAT 2022, slot 3 |
|
ERPV |
2 |
- |
- |
|
Percentages, Profit & Loss |
2 |
1 |
-1 |
|
Simple Interest & Compound Interest |
1 |
1 |
1 |
|
Time & Distance |
1 |
1 |
2 |
|
Time & Work |
- |
1 |
2 |
|
Numbers |
3 |
1 |
1 |
|
Geometry |
2 |
2 |
4 |
|
Progressions/Series |
2 |
2 |
1 |
|
ILS |
- |
2 |
- |
|
Sets |
1 |
- |
- |
|
Quadratic Equations |
1 |
2 |
4 |
|
Inequalities & Modulus |
2 |
- |
- |
|
Averages Mixtures & Allegations |
3 |
4 |
3 |
|
Coordinate Geometry |
1 |
- |
4 |
|
Permutations & Combinations |
1 |
1 |
1 |
|
Trigonometry |
- |
1 |
1 |
Here is the CAT Topic-wise Weightage 2021
|
Topics |
2021 - Slot 1 |
2021 - Slot 2 |
2021 - Slot 3 |
|
Averages, Ratios, Percentage, Mixtures |
4 |
5 |
4 |
|
Profit, Loss and Interest |
2 |
1 |
1 |
|
Time, Distance and Work |
3 |
3 |
3 |
|
Functions, Graphs and Statistics |
- |
1 |
1 |
|
Progression and Series |
2 |
2 |
1 |
|
Linear Equations |
2 |
1 |
2 |
|
Quadratic Equations |
1 |
2 |
1 |
|
Inequalities |
2 |
2 |
3 |
|
Logarithms, Surds and Indices |
1 |
1 |
1 |
|
Geometry |
3 |
3 |
4 |
|
Number Systems |
1 |
- |
- |
|
Probability and Combinatorics |
1 |
1 |
1 |
|
Venn Diagrams |
- |
- |
- |
CAT Topic-wise Weightage 2020
|
Topics |
2020 - Slot 1 |
2020 - Slot 2 |
2020 - Slot 3 |
|
Averages, Ratios, Percentage, Mixtures |
4 |
3 |
3 |
|
Profit, Loss and Interest |
2 |
2 |
2 |
|
Time, Distance and Work |
4 |
5 |
4 |
|
Functions, Graphs and Statistics |
2 |
1 |
3 |
|
Progression and Series |
- |
1 |
- |
|
Linear Equations |
1 |
1 |
2 |
|
Quadratic Equations |
1 |
1 |
1 |
|
Inequalities |
2 |
4 |
2 |
|
Logarithms, Surds and Indices |
4 |
1 |
4 |
|
Geometry |
3 |
4 |
2 |
|
Number Systems |
1 |
1 |
3 |
|
Probability and Combinatorics |
2 |
1 |
- |
|
Venn Diagrams |
- |
1 |
- |
From CAT 2020 to 2024, one pattern is clear: Arithmetic and Algebra consistently carry the maximum weightage in the QA section, with Geometry and Number Systems also appearing every year. Modern Maths contributes fewer questions but still shows up frequently enough that you cannot skip it. Use these CAT Quantitative Aptitude questions trends to decide your study plan – devote more hours to high-weightage topics, then drill them using the topic-wise CAT Quant questions PDF shared at the top of this page.
When solving CAT Quantitative Aptitude Questions, a strategic approach is essential to avoid common pitfalls that can cost you valuable marks. The most prevalent mistakes often revolve around poor preparation, flawed time management, and a lack of conceptual clarity.
Many candidates jump to complex problems without a strong foundation in core mathematical concepts. Ensure you have a deep understanding of fundamental principles in arithmetic, algebra, geometry, and number systems before moving on to advanced aptitude CAT quant practice questions
Merely taking a mock test isn't enough. You must thoroughly analyze your performance to identify your strengths and weaknesses. This includes reviewing every incorrect and unattempted question to understand the reason for the error—was it a conceptual mistake, a silly calculation error, or a timing issue?
It's tempting to focus on topics you're already good at. However, true improvement comes from tackling your weaker topics. Allocate specific time to revise and practice these areas, as the CAT can have easy questions from any topic.
The CAT is a time-bound exam, and spending too much time on a single, difficult question is a major error. Start by quickly scanning the section to identify and solve the easiest questions first.
This "low-hanging fruit" strategy ensures you maximise your attempts and secure quick marks. If you find yourself stuck on a question for more than a couple of minutes, it's often best to move on.
A simple misreading can lead to a completely wrong answer. Take a moment to read each question carefully, paying close attention to keywords, units, and any specific conditions mentioned (e.g., "whole numbers," "positive integers," etc.).
These are frustrating but common mistakes that can be easily avoided. Be meticulous with your calculations and, if time permits, double-check your work, especially in the final steps.
Check | How to prepare for CAT exam in 2 months
Tips to practice CAT Quantitative Aptitude Questions are as follows:
Before solving the complex problems directly, ensure you clearly understand the basics. This approach aids in problem-solving and reduces the likelihood of errors.
Consistent practice is the mantra. The more you solve, the better you identify patterns and shortcuts.
Simulating the actual test environment through mock tests helps in time management and provides a realistic understanding of where you stand.
Check: CAT Exam Marking Scheme
Review the mistakes made after every mock or practice session. Understand the reasoning behind them to avoid repeating them in the main exam.
It's crucial to strike a balance. Do not spend too much time on one question. If stuck, move on and come back if time allows.
The CAT exam pattern or emphasis on certain topics can shift. Stay updated with the latest trends by engaging in forums or coaching classes.
Check: CAT Exam Maths Syllabus
These are the CAT exam books recommended for the Quantitative Aptitude section.
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Tackling the CAT quant questions with solutions requires combining strategy, practice, and a calm mindset.
While the challenge is significant, with dedicated preparation and the right resources, one can achieve excellence in this crucial section, paving the way for a successful CAT score and a bright future in management.
Remember, every mathematical problem has a solution; the journey lies in finding it.
Frequently Asked Questions
What is the weightage of the Quantitative Aptitude (QA) section in the CAT exam?

Are there negative marks for incorrect answers in the QA section?

Which topics in the QA section are generally considered the most scoring?

How much time should I allocate to the QA section during my preparation?

Is it advisable to guess answers in the QA section?

What types of CAT Exam Quantitative Aptitude Questions are included in the CAT exam section?

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How can I improve my accuracy in CAT Quant Questions?

What topics are commonly covered in CAT Quant Questions?

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