35+ CAT Mensuration Questions and Answers PDF Download

Q: What are CAT Mensuration Questions and why are they important?

CAT Mensuration Questions test your ability to calculate areas, perimeters, and volumes of 2D and 3D figures. These questions are important as they assess your understanding of geometry and your problem-solving skills under time constraints.

Q: How many CAT Mensuration Questions are usually asked in the exam?

Typically, 1 to 2 questions based on mensuration appear in the Quantitative Aptitude section of the CAT exam. However, the number may vary slightly each year depending on the paper pattern.

Q: What’s the difficulty level of Mensuration CAT Questions?

Mensuration questions in CAT are generally of moderate difficulty. They are mostly formula-based but may include conceptual twists that require logical reasoning and quick calculations.

Q: Why do many CAT toppers emphasize practicing mensuration questions?

CAT toppers recommend solving mensuration questions because they are among the few question types that, with proper preparation, offer a high accuracy rate and minimal ambiguity.

Q: What makes CAT Mensuration Questions an important part of the Quant section?

Mensuration tests both conceptual clarity and numerical ability. Since these questions are usually straightforward with direct answers, they allow aspirants to build momentum during the exam.

Q: What are some CAT exam preparation tips for mensuration topics?

Some useful CAT exam preparation tips include creating a formula chart, solving topic-wise practice sets, revisiting previous year CAT mensuration questions, and timing yourself during mock tests.

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Author : Lalita Vishwakarma

March 14, 2026

Overview: Are you looking for the CAT Mensuration questions to boost your preparation for the final exam day? If yes, then continue reading as we have provided 35+ important practice questions covering the Mensuration topic of the CAT exam.

Mensuration is an important topic of the CAT QA section. To excel in Mensuration questions on the CAT exam, it's essential to know some basic formulas and have a good understanding of shapes.
This topic includes both 2D and 3D figures such as spheres, cubes, cuboids, cylinders, and cones. You can typically expect at least one mensuration question in the CAT exam.

To boost your preparation, check out Toprankers Free CAT Mensuration Questions with solutions PDF to help you improve your CAT score.

What are CAT Mensuration Questions?

CAT Mensuration questions 2026 focus on measuring and calculating properties of different geometrical shapes.

They include problems on perimeter, area, volume, and surface area of both 2D and 3D figures like circles, triangles, cones, and cylinders.
To solve them, you need a clear understanding of formulas and the ability to apply them quickly.
In the CAT exam, these questions form part of the Quantitative Aptitude section and can carry good scoring potential.

Understanding CAT Mensuration Questions 2026: Key Concepts and Areas

Mensuration questions for CAT exam typically cover various geometric shapes and their properties, such as:

2D Figures:
Circles
Triangles
Rectangles
Squares
Polygons
3D Figures:
Cylinders
Spheres
Cones
Cubes and Cuboids
Pyramids

These topics require you to apply formulas for areas, volumes, surface areas, and other properties. For example, knowing how to calculate the area of a triangle, the volume of a sphere, or the surface area of a cone is essential.

Types of CAT Mensuration Questions 2026

Q1. What is the area of a circle whose diameter is 14 cm?
A. 154 cm²
B. 77 cm²
C. 196 cm²
D. 49 cm²

Correct Answer: 154 cm²

Q2. A square has a perimeter of 32 cm. What is its area?
A. 64 cm²
B. 128 cm²
C. 256 cm²
D. 16 cm²

Correct Answer: 64 cm²

Q3. Find the volume of a cube whose side is 5 cm.
A. 25 cm³
B. 125 cm³
C. 100 cm³
D. 150 cm³

Correct Answer: . 125 cm³

Q4. What is the area of a right-angled triangle with base 6 cm and height 8 cm?
A. 24 cm²
B. 36 cm²
C. 48 cm²
D. 52 cm²

Correct Answer: 24 cm²

Q5. A rectangle has a length of 10 cm and breadth of 4 cm. Find its area.
A. 14 cm²
B. 40 cm²
C. 44 cm²
D. 25 cm²

Correct Answer: 40 cm²

Check: How to prepare for Quantitatitve Aptitude for CAT exam

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

Medium Level CAT Questions on Geometry and Mensuration

Q6. A cylinder has radius 7 cm and height 10 cm. Find its volume.
A. 1540 cm³
B. 770 cm³
C. 1320 cm³
D. 880 cm³

Correct Answer: 1540 cm³

Q7. A cone has radius 3 cm and height 4 cm. What is its volume?
A. 12.56 cm³
B. 25.12 cm³
C. 37.68 cm³
D. 40.12 cm³

Correct Answer: 37.68 cm³

Q8. Find the curved surface area of a cylinder of radius 5 cm and height 8 cm.
A. 251.2 cm²
B. 314 cm²
C. 502.4 cm²
D. 408 cm²

Correct Answer: 408 cm²

Q9. A metal sphere of radius 7 cm is melted into a cube. Find the side of the cube.
A. 7 cm
B. 10 cm
C. 11 cm
D. 21 cm

Correct Answer: 11 cm

Check: How to prepare for Logical Reasoning for CAT

Q10. A rectangle is inscribed in a circle of radius 5 cm. What is the maximum possible area of the rectangle?
A. 25 cm²
B. 50 cm²
C. 100 cm²
D. 75 cm²

Correct Answer: 50 cm²

Q11. The length, breadth, and height of a cuboid are 5 cm, 4 cm, and 3 cm, respectively. What is its total surface area?

A. 94 cm²
B. 100 cm²
C. 112 cm²
D. 130 cm²

Correct Answer: 94 cm²

Q12. A cylindrical tank has a diameter of 14 m and a height of 5 m. What is the capacity of the tank in litres?
(1 cubic meter = 1000 liters)

A. 7700 L
B. 7690 L
C. 7850 L
D. 8000 L

Correct Answer: 7690 L

Q13. A cube and a cuboid have the same volume. The cube has a side of 6 cm. If the cuboid has dimensions 3 cm and 4 cm, find its height.

A. 8 cm
B. 9 cm
C. 18 cm
D. 12 cm

Correct Answer: 18 cm

Q14. A hemisphere has a radius of 3.5 cm. What is its curved surface area?

A. 77 cm²
B. 154 cm²
C. 38.5 cm²
D. 100 cm²

Correct Answer: 77 cm²

Q15. What is the diagonal length of a square whose area is 98 cm²?

A. 14 cm
B. 12 cm
C. 16 cm
D. 10 cm

Correct Answer: 14 cm

Read More: SuperGrads CAT Toppers Interview

Difficult Level Geometry and Mensuration Questions for CAT 2026

Q16. A right circular cone and a cylinder have the same base radius and height. What is the ratio of their volumes?

A. 1:2
B. 1:3
C. 2:3
D. 3:4

Correct Answer: 1:3

Q17. A solid metallic sphere of radius 4 cm is melted and recast into 64 smaller identical spheres. What is the radius of each smaller sphere?

A. 1 cm
B. 2 cm
C. 3 cm
D. 1.6 cm

Correct Answer: 1 cm

Q18. The surface area of a cube is 96 cm². What is the volume?

A. 64 cm³
B. 48 cm³
C. 128 cm³
D. 216 cm³

Correct Answer: 64 cm³

Q19. The base of a cylinder is inscribed in a square. If the area of the square is 196 cm², find the maximum volume of the cylinder that can fit inside.

A. 539 cm³
B.308 cm³
C. 700 cm³
D. 1078 cm³

Correct Answer: 308 cm³

Q20. A hemispherical bowl of radius 7 cm is full of water. The water is poured into a cylindrical jar of radius 3.5 cm. Find the height of water in the cylinder.

A. 12 cm
B. 14 cm
C. 56 cm
D. 18 cm

Correct Answer: 18 cm

Know More | How Many Times CAT Exam is Conducted in a Year

Q21. A square is inscribed in a circle. If the area of the square is 50 cm², what is the radius of the circle?

A, 5 cm
B. √25 cm
C. 5/√2 cm
D. √25/2 cm

Correct Answer: 5 cm

Q22. A rectangular sheet of paper is rolled along its length to form a cylinder. If the length is 22 cm and breadth is 14 cm, what is the volume?

A. 1078 cm³
B. 539 cm³
C. 2156 cm³
D. 1232 cm³

Correct Answer: 539 cm³

Q23. The base area of a cone is 154 cm² and height is 12 cm. Find its volume.

A. 308 cm³
B. 616 cm³
C. 462 cm³
D. 512 cm³

Correct Answer: 616 cm³

Q24. If the radius of a sphere is increased by 100%, by what percent will the volume increase?

A. 100%
B. 200%
C. 700%
D. 800%

Correct Answer: 700%

Q25. A rectangular sheet of paper is rolled along its length to form a cylinder. If the length is 22 cm and the breadth is 7 cm, what is the volume of the resulting cylinder?

A. 154 cm³
B. 121 cm³
C. 246 cm³
D. 269.5 cm³

Correct Answer: 269.5 cm³

Check: Venn Diagram Practice Questions for CAT 2026

Important Mensuration Formulas for CAT 2026

Before we dive into theCAT mensuration questions, let’s brush up some must-know formulas:

2D Shapes

Area of square = side²
Area of rectangle = length × breadth
Area of triangle = ½ × base × height
Area of circle = πr²
Perimeter of circle (circumference) = 2πr
Area of parallelogram = base × height
Area of trapezium = ½ × (sum of parallel sides) × height

Read More | Practice CAT Geometry Questions with Solutions

3D Shapes

Volume of cube = a³
Volume of cuboid = l × b × h
Volume of cylinder = πr²h
Surface area of cylinder = 2πr(h + r)
Volume of cone = (1/3)πr²h
Volume of sphere = (4/3)πr³
Surface area of sphere = 4πr²

Best Ways to Practice CAT Mensuration Questions

1. Solve Previous Year Papers

Practicing previous year papers is one of the most effective ways to prepare for mensuration questions. This helps you understand trends, difficulty levels, and types of questions commonly asked.

CAT 2025 Question Paper – Challenging mensuration problems.
CAT 2024 Question Paper – Mix of easy and moderate questions.
CAT 2023 Question Paper – Useful for recurring question patterns.

For broader perspective:

2. Practice with Sample Papers

Solving CAT 2026 Sample Papers simulates exam conditions and introduces new types of mensuration questions. Especially useful for volumes of composite solids and surface area calculations.

Preparation Strategies for CAT Mensuration Questions 2026

Master Basic Formulas: Memorise key formulas for area, perimeter, surface area, and volume of common 2D and 3D shapes.
Practice Speed and Accuracy: Work on solving problems quickly by practising under timed conditions and improving mental math skills.
Solve CAT Previous Year Papers: Regularly practice past CAT Mensuration Questions to understand the pattern and level of difficulty.
Focus on Complex Shapes: Tackle problems involving composite figures and mixed geometric shapes to develop problem-solving skills.
Use Diagrams: Draw accurate diagrams for complex problems to visualise and simplify the calculation process.
Revise Regularly: Continuously revise formulas and concepts to reinforce your understanding and ensure quick recall during the exam.
Analyse Mistakes: After each practice session, review errors thoroughly to avoid repeating them and improve accuracy.
Utilise Online Resources: Use video tutorials, CAT mock tests, and coaching programs to strengthen your concepts and receive feedback

Explore: CAT 2026 Syllabus section wise with weightage

Best Preparation Books for CAT Mensuration Questions 2026

Here are the books for CAT Mensuration questions with practice papers:

Best CAT Mensuration test book	Author
How to Prepare for Quantitative Aptitude for the CAT	Arun Sharma
Quantitative Aptitude for the CAT	Rajesh Verma
CAT Quantitative Aptitude	Nishit K Sinha
The Pearson Guide to Quantitative Aptitude for the CAT	Dinesh Khattar

CAT Mensuration Questions”

Conclusion

Mensuration forms a crucial component of the Quantitative Aptitude section in the CAT exam, testing a candidate's understanding of geometric concepts and spatial reasoning.

Conclusion

CAT Mensuration questions can be highly scoring if approached strategically. Begin by solving recent previous year papers like CAT 2025 and CAT 2024, and enhance your practice with CAT 2026 Sample Papers. With regular practice and strong conceptual clarity, you can maximize your score.

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