20+ CAT Maths Questions and Answers PDF Download here

Overview: If you're preparing for the CAT exam, then having a good hold on the Quantitative Ability (QA) section is very important. To make it easy for you, we have provided 20+ CAT maths questions here. Read on!

• The QA section tests your logical thinking, calculation speed, and conceptual clarity. 
• The CAT maths section is one of the most scoring parts of the CAT exam. It asks about 22 questions from different topics.

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• Consistent practice with CAT mathematics questions across all topics is key to improving both speed and accuracy.

This blog presents over 20+ CAT Maths questions categorised into three difficulty levels. Each question includes multiple-choice options and a detailed solution available in PDF format.

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CAT Maths Syllabus 2025 Key Topics

Here is the classification of critical CAT Quant topics of the four broader areas in QA:

IIM CAT QA Syllabus - Broad Area	Key Topics
Arithmetic Syllabus for CAT	Time, Speed and Distance Ratio, Proportion and Variation Time and Work Pipes and Cisterns Simple and Compound Interest Percentage Profit and Loss Averages Mixtures
Algebra Syllabus for CAT	Linear and Quadratic Equations Special Equations Inequalities and Modulus Surds and Indices Logarithm Functions and Graphs Polynomials Arithmetic Progression (AP) Geometric Progression (GP) Harmonic Progression (HP)
Number Theory and Modern Maths Syllabus for CAT	Permutation and Combination Probability Set Theory Factorials Remainders Base System Factor Theory LCM, HCF Divisibility Units Digit Last 2 digits Statistics
Geometry Syllabus for CAT	Lines and Angles Triangles Quadrilaterals and Polygons Circles Trigonometry Co-ordinate Geometry

Read more: CAT Geometry Formulas with Explanation

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20+ CAT Maths Questions for 2025 to Practice Now

We have listed the important CAT 2025 maths questions with three difficulty levels: easy, medium and difficult. The solutions to these CAT exam maths questions are provided in the PDF form. Solve these questions and analyse your performance.

Easy Level CAT Maths Questions 2025

1. If x + 2 = 7, what is the value of x?

1. A) 4
   B) 5
   C) 6
   D) 3

2. A pen is bought for ₹20 and sold for ₹25. What is the profit percentage?

1. A) 20%
   B) 22%
   C) 25%
   D) 30%

3. A number increased by 20% becomes 120. What is the original number?

1. A) 90
   B) 100
   C) 110
   D) 80

4. What is the LCM of 12 and 18?

1. A) 24
   B) 30
   C) 36
   D) 48

5. What is the average of first five natural numbers?

2. A) 3
   B) 2.5
   C) 5
   D) 4

6. If 15% of a number is 45, what is the number?

1. A) 250
   B) 300
   C) 350
   D) 400

7. A train covers 180 km in 3 hours. What is its speed?

1. A) 60 km/h
   B) 55 km/h
   C) 70 km/h
   D) 50 km/h

8. Simplify: √49 + √16

1. A) 12
   B) 10
   C) 11
   D) 9

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Medium Level CAT Maths Questions 2025

9. Solve: 2x + 3 = 11

1. A) 3
   B) 4
   C) 5
   D) 6

10. If the average of five consecutive odd numbers is 35, find the smallest number.

1. A) 31
   B) 33
   C) 35
   D) 37

11. A can do a work in 20 days, B in 30 days. How long will they take together?

1. A) 10 days
   B) 11 days
   C) 12 days
   D) 15 days

12. Solve: (x + 1)(x - 2) = 0

1. A) x = -1 or 2
   B) x = 1 or -2
   C) x = 2 or 3
   D) x = -1 or 1

13. A sum becomes ₹2,400 in 2 years at 10% simple interest. Find the principal.

• A) ₹2,100
  B) ₹2,200
  C) ₹2,000
  D) ₹1,900

14. If 3x – 4 = 2x + 5, find x.

1. A) 8
   B) 9
   C) 7
   D) 10

15. The perimeter of a square is 40 cm. What is its area?

1. A) 64 cm²
   B) 100 cm²
   C) 144 cm²
   D) 36 cm²

16. A sum triples in 8 years at simple interest. Find the rate.

1. A) 30%
   B) 20%
   C) 25%
   D) 15%

17. What is the unit digit of 7⁸⁴?

1. A) 7
   B) 9
   C) 3
   D) 1

18. If 2x² – 3x – 5 = 0, what is the sum of the roots?

1. A) 2
   B) 3
   C) 1.5
   D) 3/2

Check: How to prepare for Quantitative Aptitude for CAT exam

Difficulty Level CAT Maths Questions 2025

19. Solve: √(x+5) + √(x–1) = 4

1. A) x = 3
   B) x = 4
   C) x = 5
   D) x = 6

20. A boat takes 6 hours downstream and 8 hours upstream for 96 km. Find speed in still water.

1. A) 10 km/hr
   B) 11 km/hr
   C) 12 km/hr
   D) 13 km/hr

21. If x³ – 3x + 1 = 0, find x⁶ + 9x² + 1

1. A) 9
   B) 8
   C) 7
   D) 6

22. What is the smallest number that leaves a remainder 1 when divided by 2, 3, and 4?

1. A) 10
   B) 13
   C) 25
   D) 13

23. If log₂x = 5, what is x?

1. A) 32
   B) 64
   C) 16
   D) 8

24. If a³ + b³ = 35 and ab = 3, find (a + b)³

1. A) 49
   B) 62
   C) 71
   D) 68

25. A train passes a pole in 15 seconds and a platform of 100m in 25 seconds. Find the train's length.

25. A) 150 m
    B) 200 m
    C) 250 m
    D) 300 m

Read more: CAT Mensuration Questions with Answers

Download CAT 2025 Syllabus Here

Benefits of CAT Maths Questions 2025

• Improves logical and analytical thinking abilities.
• Enhances time management under pressure.
• Strengthens foundational mathematical concepts.
• Builds confidence in quantitative problem-solving.
• Aids performance in other competitive exams.
• Supports data-driven decision-making skills.
• Sharpens mental calculation speed and accuracy.
• Encourages a structured approach to problem-solving.
• Prepares candidates for real-world business scenarios.
• Increases chances of securing higher percentile in CAT.

Best Books for CAT Maths Syllabus Preparation 2025

The market and internet are flooded with CAT study material, but choosing the right CAT Preparation books is significant.

You can refer to the below-mentioned important CAT exam maths Quant preparation books that align with the CAT quant syllabus, along with their detailed descriptions in the following table: 

Best preparation books you can refer to for CAT QA Syllabus 2025 preparations: 

CAT Exam Quantitative Ability Syllabus 2025 Preparation Books	Author
Quantitative Aptitude for the CAT	Nishit K Sinha/Pearson
Quantitative Aptitude Quantum CAT	Arihant
How to Prepare for Quantitative Aptitude for CAT	Arun Sharma/ Tata McGraw-Hill
Quantitative Aptitude for Competitive Examinations	RS Agarwal/ S Chand
Quantitative Aptitude for CAT	Dinesh k Sinha
Quantum CAT	Sarvesh Verma

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Conclusion

Preparing for the CAT exam maths questions can feel challenging, but with the right practice, it becomes a lot easier to crack.

We bring you a handpicked set of CAT level maths questions to help you build strong problem-solving skills.

Whether you're just starting or already revising, these CAT maths practice questions are designed to cover important topics and exam patterns.

We’ve also included CAT maths questions with answers and detailed solutions so you can learn from your mistakes and improve faster.

If you’ve been searching for CAT maths previous year question papers, CAT exam maths question paper samples, or even downloadable CAT maths questions PDF, this blog has everything you need. Get ready to practice smart and boost your score with these expert-level questions!

Explore: CAT Maths Syllabus for 2025