Q1. Find the area of a rectangle with length 24 m and breadth 23 m.
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Answer: D. 552 m²
Area = 24 × 23 = 552 m².
Mensuration Questions for SSC CGL (with Answers)
46 Mensuration MCQs from the Quantitative Aptitude section, with answers and short explanations.
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Q2. Find the area of a rectangle with length 8 m and breadth 17 m.
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Answer: C. 136 m²
Area = 8 × 17 = 136 m².
Q3. Find the area of a rectangle with length 5 m and breadth 18 m.
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Answer: C. 90 m²
Area = 5 × 18 = 90 m².
Q4. Find the volume of a cube of edge 16 cm.
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Answer: D. 4096 cm³
Volume = 16³ = 4096 cm³.
Q5. Find the volume of a cube of edge 8 cm.
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Answer: A. 512 cm³
Volume = 8³ = 512 cm³.
Q6. Find the volume of a cube of edge 19 cm.
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Answer: C. 6859 cm³
Volume = 19³ = 6859 cm³.
Q7. Find the area of a rectangle with length 40 m and breadth 18 m.
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Answer: D. 720 m²
Area = 40 × 18 = 720 m².
Q8. Find the area of a rectangle with length 19 m and breadth 16 m.
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Answer: A. 304 m²
Area = 19 × 16 = 304 m².
Q9. The perimeter of a square is 140 cm. Find its area.
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Answer: D. 1225 cm²
Side = 140/4 = 35 cm; area = 35² = 1225 cm².
Q10. Find the area of a rectangle with length 23 m and breadth 6 m.
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Answer: D. 138 m²
Area = 23 × 6 = 138 m².
Q11. The diagonal of a square is 37√2 cm. Find its area.
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Answer: B. 1369 cm²
Side = 37 cm, so area = 1369 cm².
Q12. The diagonal of a square is 19√2 cm. Find its area.
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Answer: D. 361 cm²
Side = 19 cm, so area = 361 cm².
Q13. Find the volume of a cube of edge 10 cm.
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Answer: A. 1000 cm³
Volume = 10³ = 1000 cm³.
Q14. The perimeter of a square is 28 cm. Find its area.
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Answer: B. 49 cm²
Side = 28/4 = 7 cm; area = 7² = 49 cm².
Q15. Find the area of a rectangle with length 15 m and breadth 4 m.
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Answer: B. 60 m²
Area = 15 × 4 = 60 m².
Q16. Find the area of a circle of radius 28 cm. (Take π = 22/7)
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Answer: D. 2464 cm²
Area = 22/7 × 28 × 28 = 2464 cm².
Q17. Find the circumference of a circle of radius 7 cm. (Take π = 22/7)
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Answer: C. 44 cm
C = 2 × 22/7 × 7 = 44 cm.
Q18. Find the circumference of a circle of radius 35 cm. (Take π = 22/7)
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Answer: D. 220 cm
C = 2 × 22/7 × 35 = 220 cm.
Q19. Find the area of a circle of radius 42 cm. (Take π = 22/7)
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Answer: B. 5544 cm²
Area = 22/7 × 42 × 42 = 5544 cm².
Q20. Find the area of a circle of radius 21 cm. (Take π = 22/7)
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Answer: A. 1386 cm²
Area = 22/7 × 21 × 21 = 1386 cm².
Q21. Find the circumference of a circle of radius 14 cm. (Take π = 22/7)
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Answer: B. 88 cm
C = 2 × 22/7 × 14 = 88 cm.
Q22. Find the volume of a sphere of radius 21 cm. (Take π = 22/7)
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Answer: B. 38808 cm³
V = 4/3 × 22/7 × 21³ = 38808 cm³.
Q23. Find the area of a circle of radius 35 cm. (Take π = 22/7)
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Answer: C. 3850 cm²
Area = 22/7 × 35 × 35 = 3850 cm².
Q24. Find the surface area of a sphere of radius 14 cm. (Take π = 22/7)
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Answer: C. 2464 cm²
SA = 4 × 22/7 × 14² = 2464 cm².
Q25. The diagonals of a rhombus are 52 cm and 10 cm. Find its area.
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Answer: C. 260 cm²
½ × 52 × 10 = 260 cm².
Q26. The diagonals of a rhombus are 28 cm and 18 cm. Find its area.
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Answer: B. 252 cm²
½ × 28 × 18 = 252 cm².
Q27. Find the volume of a cone with base radius 7 cm and height 7 cm. (Take π = 22/7)
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Answer: B. 359 1/3 cm³
V = 1/3 × 22/7 × 7² × 7 = 359 1/3 cm³.
Q28. Find the total surface area of a solid hemisphere of radius 7 cm. (Take π = 22/7)
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Answer: C. 462 cm²
TSA = 3 × 22/7 × 7² = 462 cm².
Q29. The diagonals of a rhombus are 48 cm and 14 cm. Find its area.
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Answer: C. 336 cm²
½ × 48 × 14 = 336 cm².
Q30. The diagonals of a rhombus are 46 cm and 18 cm. Find its area.
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Answer: D. 414 cm²
½ × 46 × 18 = 414 cm².
Q31. Find the volume of a cone with base radius 21 cm and height 29 cm. (Take π = 22/7)
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Answer: D. 13398 cm³
V = 1/3 × 22/7 × 21² × 29 = 13398 cm³.
Q32. Find the volume of a cylinder with radius 7 cm and height 14 cm. (Take π = 22/7)
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Answer: B. 2156 cm³
V = 22/7 × 7² × 14 = 2156 cm³.
Q33. Find the volume of a cylinder with radius 14 cm and height 11 cm. (Take π = 22/7)
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Answer: A. 6776 cm³
V = 22/7 × 14² × 11 = 6776 cm³.
Q34. Find the area of a triangle whose sides are 6 cm, 8 cm and 10 cm.
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Answer: D. 24 cm²
6² + 8² = 10², so it is right-angled. Area = ½ × 6 × 8 = 24 cm².
Q35. Find the volume of a cylinder with radius 7 cm and height 11 cm. (Take π = 22/7)
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Answer: D. 1694 cm³
V = 22/7 × 7² × 11 = 1694 cm³.
Q36. Find the area of a triangle whose sides are 5 cm, 12 cm and 13 cm.
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Answer: A. 30 cm²
5² + 12² = 13², so it is right-angled. Area = ½ × 5 × 12 = 30 cm².
Q37. Find the total surface area of a cuboid of length 6 cm, breadth 10 cm and height 5 cm.
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Answer: C. 280 cm²
2(60 + 50 + 30) = 280 cm².
Q38. Find the total surface area of a solid hemisphere of radius 21 cm. (Take π = 22/7)
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Answer: B. 4158 cm²
TSA = 3 × 22/7 × 21² = 4158 cm².
Q39. If each side of a square is increased by 50%, by what percent does its area increase?
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Answer: C. 125%
Increase = 2 × 50 + 50²/100 = 125%.
Q40. Find the volume of a cylinder with radius 7 cm and height 16 cm. (Take π = 22/7)
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Answer: A. 2464 cm³
V = 22/7 × 7² × 16 = 2464 cm³.
Q41. The diagonals of a rhombus are 28 cm and 15 cm. Find its area.
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Answer: B. 210 cm²
½ × 28 × 15 = 210 cm².
Q42. Find the total surface area of a cuboid of length 3 cm, breadth 5 cm and height 5 cm.
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Answer: B. 110 cm²
2(15 + 25 + 15) = 110 cm².
Q43. Find the total surface area of a cuboid of length 16 cm, breadth 4 cm and height 8 cm.
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Answer: B. 448 cm²
2(64 + 32 + 128) = 448 cm².
Q44. Find the volume of a cylinder with radius 14 cm and height 18 cm. (Take π = 22/7)
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Answer: B. 11088 cm³
V = 22/7 × 14² × 18 = 11088 cm³.
Q45. The diagonals of a rhombus are 56 cm and 14 cm. Find its area.
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Answer: A. 392 cm²
½ × 56 × 14 = 392 cm².
Q46. Find the volume of a cone with base radius 7 cm and height 20 cm. (Take π = 22/7)
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Answer: C. 1026 2/3 cm³
V = 1/3 × 22/7 × 7² × 20 = 1026 2/3 cm³.
More Quantitative Aptitude topics
- Speed, Time and Distance 69
- Percentage 58
- Average 56
- Profit and Loss 49
- Number System 47
- Simple Interest 43
- Time and Work 41
- LCM and HCF 39
- Ratio and Proportion 38
- Problems on Ages 38
- Compound Interest 36
- Algebra 33
- Simplification 32
- Geometry 29
- Discount 24
- Partnership 17
- Boats and Streams 16
- Mixture and Alligation 13
- Indices and Surds 10
- Trigonometry 10
- Statistics 9
- Pipes and Cisterns 7