35+ CAT Mensuration Questions with Solutions PDF Download
Author : Lalita Vishwakarma
November 24, 2025
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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.
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 Mensuration CAT 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
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.
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?
More Difficult-Level Mensuration Questions for CAT 2026
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?
A. 8
B. 12
C. 15
D. 48
Correct Answer: 48
Q27. 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.
A. 19:27
B. 20:27
C. 21:27
D. 26:27
Correct Answer: 26:27
Q28. A cube has a total surface area of 600 cm². What is its volume?
Q29. 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?
A. r
B. 2r
C. r/2
D. 1/π
Correct Answer: r/2
Q30. 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?
A. 1.5 cm
B. 2 cm
C. 1 cm
D. 3 cm
Correct Answer: 1 cm
Q31. A cone has a slant height of 13 cm and height 12 cm. What is the radius of its base?
A. 5 cm
B. 6 cm
C. 7 cm
D. 12.5 cm
Correct Answer: 5cm
Q32. The base radius of a cone is 7 cm and the height is 24 cm. What is the curved surface area?
A. 550 cm²
B. 703 cm²
C. 450 cm²
D. 498 cm²
Correct Answer: 703 cm²
Q33. 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?
A. 188,400 kg
B. 180,000 kg
C. 200,000 kg
D. 176,000 kg
Correct Answer: 188,400 kg
Q34. If the radius and height of a cylinder are both increased by 20%, then the volume will increase by:
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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 mensuration CAT 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.
What are CAT Mensuration Questions and why are they important?
How many CAT Mensuration Questions are usually asked in the exam?
What’s the difficulty level of Mensuration CAT Questions?
Why do many CAT toppers emphasize practicing mensuration questions?
What makes CAT Mensuration Questions an important part of the Quant section?
What are some CAT exam preparation tips for mensuration topics?
About the Author
Lalita Vishwakarma
Content Writer
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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