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SSC CPO SI/ASI Mensuration Questions with Answers & Explanations

20 Mensuration questions from the Quantitative Aptitude section of SSC CPO SI/ASI, each with the correct answer and a worked explanation. Try each question first, then tap Show answer to check. When you're ready, take the timed chapter-wise test to see your all-India rank.

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Question 1

The perimeter of a rectangle is 70 m and its length is 20 m. What is its area?

  1. A315 m²
  2. B320 m²
  3. C300 m²
  4. D285 m²
Show answer
Answer: (C) 300 m² Breadth = 70/2 − 20 = 15 m; area = 20 × 15 = 300 m².
Question 2

What is the volume of a sphere of radius 21 cm? (Use π = 22/7)

  1. A19404 cm³
  2. B5544 cm³
  3. C58212 cm³
  4. D38808 cm³
Show answer
Answer: (D) 38808 cm³ V = (4/3)πr³ = 38808 cm³.
Question 3

What is the circumference of a circle of radius 21 cm? (Use π = 22/7)

  1. A139 cm
  2. B1386 cm
  3. C66 cm
  4. D132 cm
Show answer
Answer: (D) 132 cm Circumference = 2πr = 2 × 22/7 × 21 = 132 cm.
Question 4

What is the volume of a cylinder with radius 14 cm and height 9 cm? (Use π = 22/7)

  1. A396 cm³
  2. B2772 cm³
  3. C5544 cm³
  4. D792 cm³
Show answer
Answer: (C) 5544 cm³ Volume = πr²h = 22/7 × 14² × 9 = 5544 cm³.
Question 5

What is the volume of a sphere of radius 42 cm? (Use π = 22/7)

  1. A465696 cm³
  2. B232848 cm³
  3. C155232 cm³
  4. D310464 cm³
Show answer
Answer: (D) 310464 cm³ V = (4/3)πr³ = 310464 cm³.
Question 6

The perimeter of a rectangle is 92 m and its length is 26 m. What is its area?

  1. A1196 m²
  2. B500 m²
  3. C520 m²
  4. D546 m²
Show answer
Answer: (C) 520 m² Breadth = 92/2 − 26 = 20 m; area = 26 × 20 = 520 m².
Question 7

What is the area of a circle of radius 42 cm? (Use π = 22/7)

  1. A11088 cm²
  2. B5544 cm²
  3. C5566 cm²
  4. D264 cm²
Show answer
Answer: (B) 5544 cm² Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Question 8

What is the volume of a cylinder with radius 14 cm and height 14 cm? (Use π = 22/7)

  1. A8624 cm³
  2. B616 cm³
  3. C1232 cm³
  4. D4312 cm³
Show answer
Answer: (A) 8624 cm³ Volume = πr²h = 22/7 × 14² × 14 = 8624 cm³.
Question 9

The perimeter of a rectangle is 42 m and its length is 13 m. What is its area?

  1. A104 m²
  2. B112 m²
  3. C96 m²
  4. D117 m²
Show answer
Answer: (A) 104 m² Breadth = 42/2 − 13 = 8 m; area = 13 × 8 = 104 m².
Question 10

What is the circumference of a circle of radius 7 cm? (Use π = 22/7)

  1. A44 cm
  2. B154 cm
  3. C88 cm
  4. D22 cm
Show answer
Answer: (A) 44 cm Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.

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Question 11

What is the volume of a cylinder with radius 21 cm and height 9 cm? (Use π = 22/7)

  1. A12628 cm³
  2. B12474 cm³
  3. C6237 cm³
  4. D1188 cm³
Show answer
Answer: (B) 12474 cm³ Volume = πr²h = 22/7 × 21² × 9 = 12474 cm³.
Question 12

The perimeter of a rectangle is 72 m and its length is 30 m. What is its area?

  1. A1080 m²
  2. B180 m²
  3. C174 m²
  4. D210 m²
Show answer
Answer: (B) 180 m² Breadth = 72/2 − 30 = 6 m; area = 30 × 6 = 180 m².
Question 13

What is the area of a circle of radius 21 cm? (Use π = 22/7)

  1. A1386 cm²
  2. B132 cm²
  3. C693 cm²
  4. D1408 cm²
Show answer
Answer: (A) 1386 cm² Area = πr² = 22/7 × 21 × 21 = 1386 cm².
Question 14

What is the volume of a cylinder with radius 21 cm and height 13 cm? (Use π = 22/7)

  1. A858 cm³
  2. B9009 cm³
  3. C18172 cm³
  4. D18018 cm³
Show answer
Answer: (D) 18018 cm³ Volume = πr²h = 22/7 × 21² × 13 = 18018 cm³.
Question 15

The perimeter of a rectangle is 74 m and its length is 27 m. What is its area?

  1. A270 m²
  2. B297 m²
  3. C999 m²
  4. D280 m²
Show answer
Answer: (A) 270 m² Breadth = 74/2 − 27 = 10 m; area = 27 × 10 = 270 m².
Question 16

What is the circumference of a circle of radius 28 cm? (Use π = 22/7)

  1. A352 cm
  2. B88 cm
  3. C176 cm
  4. D183 cm
Show answer
Answer: (C) 176 cm Circumference = 2πr = 2 × 22/7 × 28 = 176 cm.
Question 17

What is the volume of a cylinder with radius 21 cm and height 8 cm? (Use π = 22/7)

  1. A5544 cm³
  2. B1056 cm³
  3. C11242 cm³
  4. D11088 cm³
Show answer
Answer: (D) 11088 cm³ Volume = πr²h = 22/7 × 21² × 8 = 11088 cm³.
Question 18

The perimeter of a rectangle is 40 m and its length is 12 m. What is its area?

  1. A240 m²
  2. B104 m²
  3. C96 m²
  4. D88 m²
Show answer
Answer: (C) 96 m² Breadth = 40/2 − 12 = 8 m; area = 12 × 8 = 96 m².
Question 19

What is the volume of a sphere of radius 21 cm? (Use π = 22/7)

  1. A19404 cm³
  2. B58212 cm³
  3. C38808 cm³
  4. D5544 cm³
Show answer
Answer: (C) 38808 cm³ V = (4/3)πr³ = 38808 cm³.
Question 20

What is the volume of a cylinder with radius 14 cm and height 15 cm? (Use π = 22/7)

  1. A660 cm³
  2. B9240 cm³
  3. C4620 cm³
  4. D9394 cm³
Show answer
Answer: (B) 9240 cm³ Volume = πr²h = 22/7 × 14² × 15 = 9240 cm³.

These are RankerClub practice questions written in the SSC CPO SI/ASI pattern. They are not official SSC/IBPS/RRB papers.

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