September 24, 2026
Want high-ROI practice for CAT Quant? This page gives you 35+ CAT mensuration questions across easy, medium, and difficult levels covering 2D (area/perimeter) and 3D (volume/surface area). You can also download the full PDF and use the formula sheet to solve questions faster.
CAT Mensuration questions 2026 focus on measuring and calculating properties of different geometrical shapes.
Mensuration questions for 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.
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
Read More: How to Prepare for Data Interpretation for CAT Exam
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
| CAT VARC Mock Test 2026 | |
| CAT DILR Mock test 2026 | |
| CAT QA Mock Test 2026 | |
| CAT Syllabus 2026 | |
| CAT PYQs | |
| CAT VARC Questions |
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
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
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?
A. 1000 cm³
B. 800 cm³
C. 729 cm³
D. 125 cm³
Correct Answer: 1000 cm³
Click Here: Download CAT Arithmetic questions PDF with Solutions
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
Practice: Download CAT 2026 Question Papers
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:
A. 20%
B. 44%
C. 72.8%
D. 61%
Correct Answer: 72.8%
Read More | CAT Mock Test Series
Before we dive into the CAT mensuration questions, let’s brush up some must-know formulas:
Read More | Practice CAT Geometry Questions with Solutions
3D Shapes
Read more: CAT Exam Pattern and Total Marks Weightage
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.
For broader perspective:
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.
Explore: CAT 2026 Syllabus section wise with weightage
Choosing the right book can make mensuration practice a little easier. Look for books that explain the basic concepts clearly and have enough questions for practice. Some useful books for CAT Mensuration Questions 2026 are listed below. Here are some 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 |
Mensuration is an important part of the Quantitative Aptitude section of CAT. It mainly covers questions based on areas, volumes, perimeters, and other basic geometric concepts.
To get better at CAT Mensuration questions, start with recent papers such as CAT 2025 and CAT 2024. You can also practise with CAT 2026 Sample Papers to get used to different question types and improve your accuracy.
Smart Prep for CAT: Join Our Free Demo Class
Fill your details
Frequently Asked Questions
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?
Content Writer | MBA & CAT Preparation
1723534562.png){kind=small}
SHARE