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CAT Quantitative Aptitude Questions with Answers PDF Download

Author : Lalita Vishwakarma

December 10, 2025

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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.

  • Practice exam-level Quantitative CAT Aptitude questions topic-wise with detailed solutions.
  • Improve both your speed and accuracy with a mix of beginner to advanced CAT Math questions.
  • Get exam-oriented CAT quant questions with solutions PDF based on past year trends and SuperGrads’ expert analysis.

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

Important CAT Quant Questions PDF 2026: Topic Wise

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.

Download Topic-wise CAT Quant Questions and Answers PDF

Number System CAT Questions PDF
Arithmetic CAT Questions PDF
Number Theory CAT Questions PDF
Quadratic Equation CAT Questions PDF
CAT Inequalities Questions PDF
Logarithms, Surds & Indices Questions PDF
Time, Speed & Distance Questions PDF
Linear Equations Questions PDF
Ratio, Proportion & Variations Questions PDF
Simple Interest - Compound Interest Questions PDF
Profit & Loss CAT Questions PDF

What is Quantitative Aptitude in CAT 2026?

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.

CAT Quantitative Aptitude Section Highlights 2026

  • Section: Quantitative Aptitude (QA) – part of the overall CAT 2026 paper.
  • Number of questions: Around 22 CAT Aptitude questions.
  • Question types: A mix of Multiple-Choice Questions (MCQs) and non-MCQ TITA (Type In The Answer) questions.
  • Marking scheme: +3 for every correct answer; –1 for incorrect MCQs; no negative marking for TITA questions.
  • Sectional time limit: 40 minutes (for non-PwD candidates) strictly for the QA section.

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.

CAT Quantitative Aptitude Questions with Solutions 2026: Sample Practice Set

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

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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 

Use SuperGrads Free Resources 2026 Strategically

CAT VARC Mock Test 2026
CAT DILR Mock test 2026
CAT QA Mock Test 2026
CAT VARC Prep Videos 2026
CAT DILR Prep Videos 2026
CAT QA Prep Videos 2026
CAT Syllabus 2026
CAT PYQs
CAT VARC Questions

CAT Quant Practice Questions for Beginners 

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

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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

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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.

CAT Quantitative Aptitude Questions 2026: Key Topics & Syllabus

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:

  • Arithmetic: Percentages, Profit & Loss, Ratio & Proportion, Averages, Mixtures & Alligations, Time & Work, Time–Speed–Distance, Simple & Compound Interest.
  • Algebra: Linear & Quadratic Equations, Inequalities, Functions, Sequence & Series, Maxima–Minima, Word problems based on ages etc.
  • Geometry & Mensuration: Lines & Angles, Triangles, Circles, Polygons, Coordinate Geometry and 3D Mensuration.
  • Number System: Divisibility, Factors, Remainders, Cyclicity, HCF–LCM, Base systems and special theorems.
  • Modern Maths: Permutation & Combination, Probability, Set Theory, Progressions and Binomial Theorem.

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.

Types of CAT Aptitude Questions in the QA Section

In CAT 2026, the QA section will include two main types of CAT Exam Quantitative Aptitude questions:

  • Multiple-Choice Questions (MCQs): You choose one correct option out of four. These questions carry negative marking (–1) for incorrect responses.
  • Non-MCQs / TITA (Type In The Answer): You type the exact numerical answer. These questions carry no negative marking, so they are crucial for maximising your score safely.

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.

CAT Aptitude Questions Pattern 2026 (QA Section at a Glance)

  • Total QA questions: Around 22 questions in the Quantitative Aptitude section.
  • Question split: Approximately 14 MCQs and 8 TITA questions (based on recent years).
  • Marks per question: +3 for every correct response.
  • Negative marking: –1 for wrong MCQ responses; no negative marking for TITA.
  • Sectional time limit: 40 minutes dedicated only to QA (for non-PwD candidates).

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.

Check | CAT Exam Response Sheet 

Detailed Breakdown of Important CAT Quantitative Aptitude Questions 2026

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

CAT Quantitative Aptitude Questions: MCQs vs TITA

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.

  • MCQs (Multiple-Choice Questions): Each question has four options, and you must choose the correct one. MCQs carry +3 marks for a correct answer and −1 mark for an incorrect answer.
  • TITA (Type In The Answer) Questions: You must enter the exact numerical value in the text box. TITA questions carry +3 marks for a correct answer and have no negative marking.

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.

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CAT Quant TITA vs Non-TITA Questions Weightage

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

Importance of Mastering CAT Quantitative Aptitude Questions 2026 for High Scores

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.

  • Significant weightage in overall score: The QA section typically contributes about one-third of the total marks. Strong performance in CAT Aptitude questions can pull your overall percentile up even if one of the other sections is slightly weaker.
  • Sectional cut-offs in top B-schools: Most IIMs and top MBA colleges have strict sectional cut-offs. You must clear the QA cut-off through consistent practice of CAT Aptitude questions with solutions, otherwise a good overall score may still not convert into calls.
  • Tests core managerial skills: CAT QA questions are designed to check analytical thinking, numerical reasoning and time management – exactly the skills you’ll need in an MBA classroom and corporate roles later.
  • Conceptual clarity & problem-solving: Regularly solving exam-level CAT Quant questions with answers forces you to solidify fundamentals and apply them under time pressure –

CAT Quantitative Aptitude Questions: Year-wise Trend Analysis

Number of Aptitude CAT questions asked in 2024

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

Number of CAT QA Questions asked in 2023

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

Number of CAT QA Questions asked in 2022

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

Number of Aptitude CAT Questions asked in 2021

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

-

-

-

Number of Aptitude CAT Questions asked in 2020

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

-

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Mistakes to Avoid While Solving CAT Quantitative Aptitude Questions 2026

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.

1. Neglecting the Basics

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

2. Skipping Mock Test Analysis

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?

3. Avoiding Weak Areas

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.

4. Poor Time Management

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.

5. Misreading Questions

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.).

6. Silly Calculation Errors

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 for Solving CAT Quantitative Aptitude Questions 2026

Tips to practice CAT Quantitative Aptitude Questions are as follows:

1. Start by Learning the Basics 

Before solving the complex problems directly, ensure you clearly understand the basics. This approach aids in problem-solving and reduces the likelihood of errors.

2. Practice, Practice and Practice

Consistent practice is the mantra. The more you solve, the better you identify patterns and shortcuts.

3. Practice Mock Tests

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

4. Review and Improve Your Mistakes

Review the mistakes made after every mock or practice session. Understand the reasoning behind them to avoid repeating them in the main exam.

5. Time Management

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.

6. Stay Updated with the Pattern

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

Recommended Books for CAT Quantitative Aptitude Questions 2026

These are the CAT exam books recommended for the Quantitative Aptitude section. 

  1. "Quantitative Aptitude for the CAT" by Arun Sharma: A popular choice among aspirants, this book covers all fundamental concepts with graded levels of difficulty.
  2. "Quantitative Aptitude Quantum CAT" by Sarvesh K Verma: Comprehensive in its approach, it provides ample problems for practice.
  3. "How to Prepare for Quantitative Aptitude for CAT" by Arun Sharma: A favourite for many, it delves deep into strategies and shortcuts for the CAT exam.
  4. "The Pearson Guide to Quantitative Aptitude for CAT" by Nishit Sinha: This book is renowned for its clarity and the variety of CAT Quant questions it offers.

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Conclusion

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.

Check: Supergrads CAT Online Coaching

Frequently Asked Questions

What is the weightage of the Quantitative Aptitude (QA) section in the CAT exam?

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About the Author

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Lalita Vishwakarma is a professional content writer with 3 years of experience, distinguished by her ability to transform raw ideas into polished, high-impact content. She masterfully combines creative storytelling with strategic execution, ensuring that her work not only captures attention but also drives desired outcomes.... more

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