Mensuration is an important part of the SSC CGL Tier 2 Quant section, usually carrying 10 to 14 marks. Many students lose marks here due to lack of practice, even though the questions are formula-based and scoring. That’s why regular revision and solving questions is key. In this blog, we’ve added useful mensuration practice questions to help you build speed and accuracy for the Tier 2 exam.
SSC CGL Tier 2 Mensuration What Not to Do
Many SSC CGL Tier 2 aspirants lose crucial marks in the Mensuration section due to avoidable errors. Here are some common mistakes students should be careful about:
- Ignoring Unit Conversion
Not converting cm² to m² or vice versa leads to incorrect answers. Always check and standardize units before solving. - Forgetting π Value
Some students either forget to use π or use inconsistent values (like 22/7 in one step and 3.14 in another). Pick one and stay consistent throughout the calculation. - Using Wrong Formulas
Confusing surface area with volume formulas especially for cones, cylinders, and spheres is a common slip. Revise and memorize standard formulas well. - Misreading the Question
Not identifying whether the question asks for total surface area, curved surface area, or volume can lead to wrong answers. - Skipping Visual Understanding
Trying to solve mensuration questions purely numerically without visualizing the shape often causes errors. Always sketch a rough diagram to understand dimensions. - Overcomplicating Simple Problems
Trying to apply formulas even when a simpler concept (like area difference or ratios) would suffice wastes time and creates scope for error. - Leaving Decimal Precision Issues
Not rounding off correctly as per the question’s requirement can lose you marks. Always follow the decimal place or rounding direction mentioned. - Mixing 2D and 3D Concepts
Applying 3D formulas to 2D shapes and vice versa is a major source of confusion, especially in mixed concept problems. - Not Practicing Complex Diagrams
Composite figures (like a cone over a hemisphere or cylinder with a hole) need regular practice. Avoiding these in practice can leave you stuck in the exam. - Guessing Without Estimation
Some aspirants blindly guess instead of estimating the answer range. Estimating using options can help eliminate wrong choices quickly.
Download Mensuration Questions PDF for SSC CGL
Many aspirants find it difficult to solve the questions of this topic but with complete practice, you can solve it. You also need to learn certain formulaes for mensuration. Click on the link below to download Mensuration questions for SSC CGL as a PDF.
Mensuration Questions for SSC CGL Tier 2
If you’re preparing for SSC CGL Tier 2, practicing Mensuration questions is a must. Here are 30 well-designed questions to help you build confidence and get exam ready.
Q1. A cylindrical tank has radius 3.5 m and height 4 m. Water is filled through a pipe of radius 7 cm at 2 m/s. How long (in minutes) will it take to fill the tank?
A) 55
B) 60
C) 65
D) 70
Correct Answer: B
Q2. A hemispherical bowl of radius 10 cm is filled with water and emptied into a cylindrical container of radius 5 cm. What will be the height of water in the cylinder?
A) 8 cm
B) 10 cm
C) 12 cm
D) 16 cm
Correct Answer: D
Q3. A metallic cylindrical rod of radius 1.5 cm and length 50 cm is melted and cast into small spherical balls of radius 0.75 cm. How many balls are formed?
A) 45
B) 60
C) 80
D) 100
Correct Answer: B
Q4. A cubical tank can hold 729 litres of water. What is the length of each side of the cube? (1 litre = 1000 cm³)
A) 80 cm
B) 90 cm
C) 100 cm
D) 110 cm
Correct Answer: B
Q5. A conical vessel of height 24 cm and radius 7 cm is filled with milk. This milk is poured into cylindrical glasses of radius 3.5 cm and height 6 cm. How many glasses can be filled completely?
A) 4
B) 6
C) 8
D) 10
Correct Answer: C
Q6. A cylinder has a height of 10 cm and radius 4 cm. What is its curved surface area?
A) 240 cm²
B) 251.2 cm²
C) 280 cm²
D) 300 cm²
Correct Answer: B
Q7. A hemisphere has a radius of 14 cm. What is its curved surface area?
A) 1232 cm²
B) 615.44 cm²
C) 862.4 cm²
D) 840 cm²
Correct Answer: A
Q8. The base area of a right prism is 60 cm² and its height is 12 cm. Find its volume.
A) 720 cm³
B) 600 cm³
C) 840 cm³
D) 960 cm³
Correct Answer: A
Q9. A hollow cylindrical pipe is 21 cm long with an outer diameter of 10 cm and inner diameter of 6 cm. What is its volume?
A) 2310 cm³
B) 660 cm³
C) 1056 cm³
D) 2112 cm³
Correct Answer: C
Q10. A metallic sphere of radius 4.2 cm is melted and recast into smaller spheres of radius 0.7 cm. How many smaller spheres are formed?
A) 64
B) 216
C) 512
D) 343
Correct Answer: B
Q11. The height and slant height of a cone are 12 cm and 13 cm respectively. What is its total surface area?
A) 660 cm²
B) 748 cm²
C) 572 cm²
D) 816 cm²
Correct Answer: A
Q12. The perimeter of a semicircular protractor is 72 cm. What is its radius?
A) 14 cm
B) 16 cm
C) 12 cm
D) 18 cm
Correct Answer: B
Q13. A cuboid has dimensions 12 cm × 8 cm × 6 cm. What is its total surface area?
A) 576 cm²
B) 624 cm²
C) 692 cm²
D) 608 cm²
Correct Answer: B
Q14. The lateral surface area of a cylinder is 880 cm² and its height is 20 cm. What is the radius?
A) 7 cm
B) 10 cm
C) 11 cm
D) 14 cm
Correct Answer: C
Q15. A cone and a hemisphere have equal radii of 7 cm. If the height of the cone is 24 cm, what is the difference between their volumes?
A) 539 cm³
B) 539.3 cm³
C) 550 cm³
D) 528 cm³
Correct Answer: A
Q16. A wire of length 198 cm is bent to form a circle. What will be the area enclosed by the circle?
A) 994 cm²
B) 1000 cm²
C) 980 cm²
D) 972 cm²
Correct Answer: D
Q17. The length of the diagonal of a cube is 17.32 cm. What is the length of its side?
A) 10 cm
B) 9 cm
C) 8 cm
D) 12 cm
Correct Answer: A
Q18. A well of inner diameter 14 m is dug 10 m deep. Earth taken out is spread to form a platform 22 m × 14 m. What is the height of the platform?
A) 1.4 m
B) 1.5 m
C) 1.6 m
D) 1.8 m
Correct Answer: A
Q19. A rectangular tank 80 cm long, 40 cm wide, and 30 cm high is half-filled with water. What is the volume of water in litres?
A) 48
B) 56
C) 60
D) 96
Correct Answer: A
Q20. The base radius of a right circular cone is doubled and its height remains the same. What happens to its volume?
A) Becomes four times
B) Doubles
C) Triples
D) Remains same
Correct Answer: A
Q21. A metallic cube of side 10 cm is melted and recast into smaller cubes of side 2 cm. How many small cubes are formed?
A) 100
B) 125
C) 250
D) 625
Correct Answer: D
Q22. The area of a trapezium is 192 cm² and the distance between its parallel sides is 8 cm. If one of the parallel sides is 14 cm, what is the length of the other?
A) 10 cm
B) 14 cm
C) 18 cm
D) 20 cm
Correct Answer: D
Q23. A cylindrical tank of radius 7 m is filled with water up to a height of 10 m. How many litres of water does it contain?
A) 154000 L
B) 1540000 L
C) 15400 L
D) 15400000 L
Correct Answer: A
Q24. A cube has surface area of 294 cm². What is its volume?
A) 343 cm³
B) 216 cm³
C) 512 cm³
D) 125 cm³
Correct Answer: A
Q25. The difference between the outer and inner surface areas of a hollow cylinder is 352 cm². If height = 8 cm, and outer radius = 9 cm, what is the inner radius?
A) 7 cm
B) 6 cm
C) 8 cm
D) 5 cm
Correct Answer: A
Q26. A sphere is melted and recast into a cylinder of radius 5 cm and height 9.6 cm. What was the radius of the original sphere?
A) 6 cm
B) 5 cm
C) 4 cm
D) 7 cm
Correct Answer: A
Q27. A solid cone is cut into two parts at a height ratio of 2:1 from the base. What is the volume ratio of the two parts (smaller cone and frustum)?
A) 1:7
B) 1:6
C) 1:8
D) 1:5
Correct Answer: A
Q28. A hemisphere is placed on top of a cylinder. If both have radius 7 cm and height of cylinder is 10 cm, find total surface area.
A) 814 cm²
B) 748 cm²
C) 924 cm²
D) 1012 cm²
Correct Answer: A
Q29. If the height and radius of a cone are increased by 20%, what is the percentage increase in its volume?
A) 44%
B) 72.8%
C) 64.8%
D) 50%
Correct Answer: C
Q30. A solid metallic sphere of diameter 42 cm is melted and cast into smaller spheres of diameter 7 cm. Find the number of smaller spheres formed.
A) 216
B) 343
C) 512
D) 729
Correct Answer: A
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SSC CGL Tier 2 Mensuration Questions -FAQs
Ans. Mensuration usually carries 10 to 14 marks in the SSC CGL Tier 2 Quant section.
Ans. Solve formula-based questions regularly and focus on composite figures and unit conversions.
Ans. Break them into parts, use individual formulas, then add surface areas or volumes accordingly.
Ans. The volume becomes four times larger.
Ans. Break them into parts, use individual formulas, then add surface areas or volumes accordingly.
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