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SSC CHSL Mensuration Questions with Answers & Explanations

18 Mensuration questions from the Quantitative Aptitude section of SSC CHSL, 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.

Question 1

The perimeter of a rectangle is 64 m and its length is 27 m. What is its area?

  1. A135 m²
  2. B162 m²
  3. C130 m²
  4. D140 m²
Show answer
Answer: (A) 135 m² Breadth = 64/2 − 27 = 5 m; area = 27 × 5 = 135 m².
Question 2

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

  1. A1056 cm³
  2. B528 cm³
  3. C5544 cm³
  4. D11088 cm³
Show answer
Answer: (D) 11088 cm³ Volume = πr²h = 22/7 × 21² × 8 = 11088 cm³.
Question 3

The perimeter of a rectangle is 56 m and its length is 15 m. What is its area?

  1. A210 m²
  2. B195 m²
  3. C420 m²
  4. D182 m²
Show answer
Answer: (B) 195 m² Breadth = 56/2 − 15 = 13 m; area = 15 × 13 = 195 m².
Question 4

What is the volume of a cylinder with radius 7 cm and height 17 cm? (Use π = 22/7)

  1. A1309 cm³
  2. B374 cm³
  3. C2618 cm³
  4. D748 cm³
Show answer
Answer: (C) 2618 cm³ Volume = πr²h = 22/7 × 7² × 17 = 2618 cm³.
Question 5

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

  1. A264 cm
  2. B528 cm
  3. C5544 cm
  4. D132 cm
Show answer
Answer: (A) 264 cm Circumference = 2πr = 2 × 22/7 × 42 = 264 cm.
Question 6

The perimeter of a rectangle is 46 m and its length is 18 m. What is its area?

  1. A414 m²
  2. B90 m²
  3. C108 m²
  4. D85 m²
Show answer
Answer: (B) 90 m² Breadth = 46/2 − 18 = 5 m; area = 18 × 5 = 90 m².
Question 7

What is the volume of a cylinder with radius 7 cm and height 4 cm? (Use π = 22/7)

  1. A770 cm³
  2. B176 cm³
  3. C88 cm³
  4. D616 cm³
Show answer
Answer: (D) 616 cm³ Volume = πr²h = 22/7 × 7² × 4 = 616 cm³.
Question 8

What is the area of a circle of radius 35 cm? (Use π = 22/7)

  1. A7700 cm²
  2. B1925 cm²
  3. C3872 cm²
  4. D3850 cm²
Show answer
Answer: (D) 3850 cm² Area = πr² = 22/7 × 35 × 35 = 3850 cm².
Question 9

The perimeter of a rectangle is 142 m and its length is 39 m. What is its area?

  1. A1280 m²
  2. B1287 m²
  3. C2769 m²
  4. D1248 m²
Show answer
Answer: (D) 1248 m² Breadth = 142/2 − 39 = 32 m; area = 39 × 32 = 1248 m².
Question 10

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

  1. A9009 cm³
  2. B18018 cm³
  3. C858 cm³
  4. D1716 cm³
Show answer
Answer: (B) 18018 cm³ Volume = πr²h = 22/7 × 21² × 13 = 18018 cm³.

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Question 11

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

  1. A264 cm
  2. B66 cm
  3. C132 cm
  4. D139 cm
Show answer
Answer: (C) 132 cm Circumference = 2πr = 2 × 22/7 × 21 = 132 cm.
Question 12

The perimeter of a rectangle is 88 m and its length is 27 m. What is its area?

  1. A442 m²
  2. B486 m²
  3. C1188 m²
  4. D459 m²
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Answer: (D) 459 m² Breadth = 88/2 − 27 = 17 m; area = 27 × 17 = 459 m².
Question 13

What is the volume of a cylinder with radius 7 cm and height 16 cm? (Use π = 22/7)

  1. A1232 cm³
  2. B704 cm³
  3. C352 cm³
  4. D2464 cm³
Show answer
Answer: (D) 2464 cm³ Volume = πr²h = 22/7 × 7² × 16 = 2464 cm³.
Question 14

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

  1. A310464 cm³
  2. B22176 cm³
  3. C155232 cm³
  4. D465696 cm³
Show answer
Answer: (A) 310464 cm³ V = (4/3)πr³ = 310464 cm³.
Question 15

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

  1. A58212 cm³
  2. B29106 cm³
  3. C38808 cm³
  4. D19404 cm³
Show answer
Answer: (C) 38808 cm³ V = (4/3)πr³ = 38808 cm³.
Question 16

What is the volume of a cylinder with radius 21 cm and height 4 cm? (Use π = 22/7)

  1. A5698 cm³
  2. B5544 cm³
  3. C2772 cm³
  4. D528 cm³
Show answer
Answer: (B) 5544 cm³ Volume = πr²h = 22/7 × 21² × 4 = 5544 cm³.
Question 17

The perimeter of a rectangle is 58 m and its length is 15 m. What is its area?

  1. A210 m²
  2. B225 m²
  3. C224 m²
  4. D435 m²
Show answer
Answer: (A) 210 m² Breadth = 58/2 − 15 = 14 m; area = 15 × 14 = 210 m².
Question 18

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

  1. A176 cm²
  2. B44 cm²
  3. C308 cm²
  4. D154 cm²
Show answer
Answer: (D) 154 cm² Area = πr² = 22/7 × 7 × 7 = 154 cm².

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