25+ CAT Maths (Quant) Questions with Answers: Easy–Hard + PDF Solutions

Looking for CAT Maths questions that feel like the real QA section? Below you’ll find 25 CAT-style Quantitative Ability questions across Easy, Medium, and Difficult levels—covering Arithmetic, Algebra, Number System, Geometry, and Modern Math. Each question includes the answer and a short explanation, plus a free PDF with detailed solutions for revision.

• CAT Exam 2026 is expected to be held on 29 November 2026 (Sunday) in three slots.
• The the consists of three sections: VARC, DILR, and QA, each testing essential management aptitude skills.
• A total of around 66 questions are to be attempted within 120 minutes, with a mix of MCQs and non-MCQs (TITA).

This CAT QA practice set has 25 questions based on the common CAT Exam Pattern, including MCQs and TITA questions. Start with the easy questions, move to the medium set, and then try the difficult ones to test yourself under exam-like pressure. A solutions PDF is also provided for quick checking and revision.

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You will find 20+ CAT Maths questions divided into easy, medium, and difficult levels. Each question includes answer options, and the PDF provides detailed solutions for reference.

Read More: How to Prepare for Data Interpretation for CAT Exam

Key Highlights of Maths in CAT Section 2026:

CAT Quantitative Aptitude includes questions from topics such as Arithmetic, Algebra, Geometry, and Number System. The number of questions may change each year, but the section generally tests how well you understand concepts and apply them while solving questions within a limited time.

• Questions: Around 22, depending on the year
• Difficulty: Mostly moderate to difficult
• Focus: Concepts, calculation, speed, and accuracy
• Weightage: About one-third of the total CAT score

Get Topic-Wise CAT Quant PDFs (Arithmetic, Algebra, Geometry) – Free Download

What are CAT Maths Questions?

CAT Maths Questions are the questions asked in the Quantitative Aptitude (QA) section of the CAT exam. They cover different areas of basic mathematics and check how well you can understand a concept, apply it to a problem, and reach the answer within a limited time.

CAT Quantitative Aptitude section has two main question types: MCQs and TITA questions. Knowing how both work can help you manage your attempts better during the exam.

1. MCQs (Multiple Choice Questions): MCQs come with four answer options, and you have to select the correct one. An incorrect answer carries negative marking.

2. TITA (Type In The Answer) Questions: TITA questions do not have answer options. You need to enter the answer directly using the on-screen keyboard. There is no negative marking for an incorrect TITA answer.

Download Ratio and Proportion Questions for CAT 2026

Easy Level CAT Maths Questions 2026

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

1. 4
2. 5
3. 6
4. 3

Answer: B) 5

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

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

Answer: C) 25%

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

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

Answer: B) 100

4. What is the LCM of 12 and 18?

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

Answer: C) 36

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

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

Answer: A) 3

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

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

Answer: B) 300

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

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

Answer: A) 60 km/h

8. Simplify: √49 + √16

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

Answer: C) 11

Practise with: CAT Trigonometry Question with Solutions

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Medium Level CAT Maths Questions 2026

9. Solve: 2x + 3 = 11

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

Answer: B) 4

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

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

Answer: A) 31

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

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

Answer: C) 12 days

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

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

Answer: A) x = -1 or 2

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

Answer: C) ₹2,000

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14. If 3x – 4 = 2x + 5, find x.

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

Answer: B) 9

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

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

Answer: B) 100 cm²

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

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

Answer: C) 25%

17. What is the unit digit of 7⁸⁴?

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

Answer: D) 1

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

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

Answer: D) 3/2

Check: How to prepare for Quantitative Aptitude for CAT exam

Difficult Level CAT Maths Questions 2026

19. Solve: √(x+5) + √(x–1) = 4

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

Answer: C) x = 5

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

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

Answer: D) 13 km/hr

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

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

Answer: D) 6

Q22. What is the smallest number that leaves a remainder 1 when divided by 2, 3, and 4?

1. 10
2. 13
3. 25
4. 37

Answer: B) 13

23. If log₂x = 5, what is x?

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

Answer: A) 32

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

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

Answer: D) 68

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

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

Answer: A) 150 m

Read more: CAT Mensuration Questions with Answers

Download CAT 2026 Syllabus Here

Benefits of CAT Maths Questions 2026

Solving CAT Maths Questions regularly is a good way to get comfortable with the QA section. The more questions you solve, the easier it becomes to understand the question, choose a method, and reach the answer without wasting time.

• Helps you get better at basic Maths concepts.
• Improves speed and accuracy.
• Makes different types of questions easier to handle.
• Helps you manage time during the exam.
• Shows which topics you need to work on.
• Reduces silly mistakes with regular practice.
• Makes you more confident in the QA section.

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Best Books for CAT Maths Syllabus Preparation 2026

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 2026 preparations: 

CAT Exam Quantitative Ability Syllabus 2026 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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CAT Maths Syllabus 2026 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

Topic-Wise Weightage in CAT Maths Questions Over the Past 4 Years

This topic-wise table helps you prioritise CAT Maths preparation. Start with high-frequency topics first, then move to moderate-frequency topics, and finally cover niche areas for completeness.

Tip: If you’re short on time, focus on Arithmetic + Algebra first, then Geometry, and finish with Modern Maths + Number System.

Topic	2024	2023	2022	2021
Arithmetic	8–9	9	8	10
Algebra	6–7	6	7	6
Geometry & Mensuration	4–5	5	5	4
Number System	1–2	2	2	2
Modern Mathematics	1–2	1	1	1

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Conclusion

Preparing for the CAT 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 2026