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.

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.

What’s the difficulty level of mensuration questions in CAT?

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.

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.

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.

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.

35+ CAT Mensuration Questions with Answers PDF Download

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 25+ important practice questions covering the Mensuration topic of the CAT exam.

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

Understanding CAT Mensuration Questions 2025: Key Concepts and Areas

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

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 Mensuration Questions in CAT 2025

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

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

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

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

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

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

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. 400 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. 14 cm
D. 21 cm

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

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

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)

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.

Difficult Level Geometry and Mensuration Questions for CAT 2025

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

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?

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.

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.

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

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?

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

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?

More Difficult-Level Mensuration Questions for CAT 2025

Q26. A metal cube of side 12 cm is melted to make small spherical balls of radius 3 cm. How many such balls can be made?

Q26. A solid cone is cut into two parts by a plane parallel to the base, and the upper part is removed. If the height of the original cone is 9 cm and the height of the remaining frustum is 6 cm, find the volume ratio of the frustum to the whole cone.

Q28. If the area of a circle is equal to the curved surface area of a cylinder, both with the same radius, what is the height of the cylinder?

Q29. A cylindrical jar has radius 5 cm and height 10 cm. A solid spherical ball of radius 2.5 cm is completely dipped in it. By how much will the water level rise?

Q30. A cone has a slant height of 13 cm and height 12 cm. What is the radius of its base?

Q31. The base radius of a cone is 7 cm and the height is 24 cm. What is the curved surface area?

Q32. A cylindrical tank of radius 5 m and height 2.4 m is filled with water. What is the weight of water if 1 m³ of water weighs 1000 kg?

Q33. If the radius and height of a cylinder are both increased by 20%, then the volume will increase by:

Important Mensuration Formulas for CAT 2025

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

2D Shapes

Preparation Strategies for CAT Mensuration Questions 2025

Master Basic Formulas: Memorize 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 practicing under timed conditions and improving mental math skills.
Solve 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 visualize and simplify the calculation process.
Revise Regularly: Continuously revise formulas and concepts to reinforce your understanding and ensure quick recall during the exam.
Analyze Mistakes: After each practice session, review errors thoroughly to avoid repeating them and improve accuracy.
Utilize Online Resources: Use video tutorials, mock tests, and coaching programs to strengthen your concepts and receive feedback

Explore: CAT 2025 Syllabus section wise with weightage

Best Preparation Books for CAT Mensuration Questions 2025

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

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.

A strong grasp of formulas, coupled with consistent practice, is essential to solve these questions accurately and efficiently. By focusing on both 2D and 3D figures and mastering the techniques of approximation and calculation, aspirants can significantly improve their performance in this area. Incorporating CAT mensuration questions in your regular preparation schedule will not only boost confidence but also enhance your overall quantitative score.

CAT Mensuration Questions 2025 with Answers [Download PDF]

Understanding CAT Mensuration Questions 2025: Key Concepts and Areas

Types of Mensuration Questions in CAT 2025

Medium Level CAT Questions on Geometry and Mensuration​

Difficult Level Geometry and Mensuration Questions for CAT 2025

More Difficult-Level Mensuration Questions for CAT 2025

Important Mensuration Formulas for CAT 2025

2D Shapes

Preparation Strategies for CAT Mensuration Questions 2025

Best Preparation Books for CAT Mensuration Questions 2025

Conclusion

Medium Level CAT Questions on Geometry and Mensuration