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SSC GD Constable Mensuration Questions with Answers & Explanations

20 Mensuration questions from the Elementary Mathematics section of SSC GD Constable, 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

What is the volume of a cylinder with radius 14 cm and height 8 cm? (Use π = 22/7)

  1. A704 cm³
  2. B352 cm³
  3. C2464 cm³
  4. D4928 cm³
Show answer
Answer: (D) 4928 cm³ Volume = πr²h = 22/7 × 14² × 8 = 4928 cm³.
Question 2

What is the volume of a cylinder with radius 14 cm and height 18 cm? (Use π = 22/7)

  1. A792 cm³
  2. B1584 cm³
  3. C11088 cm³
  4. D11242 cm³
Show answer
Answer: (C) 11088 cm³ Volume = πr²h = 22/7 × 14² × 18 = 11088 cm³.
Question 3

The perimeter of a rectangle is 128 m and its length is 34 m. What is its area?

  1. A1054 m²
  2. B2176 m²
  3. C1020 m²
  4. D990 m²
Show answer
Answer: (C) 1020 m² Breadth = 128/2 − 34 = 30 m; area = 34 × 30 = 1020 m².
Question 4

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

  1. A88 cm
  2. B44 cm
  3. C51 cm
  4. D154 cm
Show answer
Answer: (B) 44 cm Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.
Question 5

What is the volume of a cylinder with radius 14 cm and height 12 cm? (Use π = 22/7)

  1. A7392 cm³
  2. B1056 cm³
  3. C528 cm³
  4. D7546 cm³
Show answer
Answer: (A) 7392 cm³ Volume = πr²h = 22/7 × 14² × 12 = 7392 cm³.
Question 6

The perimeter of a rectangle is 100 m and its length is 27 m. What is its area?

  1. A598 m²
  2. B644 m²
  3. C1350 m²
  4. D621 m²
Show answer
Answer: (D) 621 m² Breadth = 100/2 − 27 = 23 m; area = 27 × 23 = 621 m².
Question 7

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

  1. A88 cm
  2. B2464 cm
  3. C183 cm
  4. D176 cm
Show answer
Answer: (D) 176 cm Circumference = 2πr = 2 × 22/7 × 28 = 176 cm.
Question 8

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

  1. A4312 cm³
  2. B1232 cm³
  3. C8624 cm³
  4. D616 cm³
Show answer
Answer: (C) 8624 cm³ Volume = πr²h = 22/7 × 14² × 14 = 8624 cm³.
Question 9

The perimeter of a rectangle is 54 m and its length is 17 m. What is its area?

  1. A160 m²
  2. B459 m²
  3. C170 m²
  4. D180 m²
Show answer
Answer: (C) 170 m² Breadth = 54/2 − 17 = 10 m; area = 17 × 10 = 170 m².
Question 10

What is the volume of a cylinder with radius 14 cm and height 16 cm? (Use π = 22/7)

  1. A4928 cm³
  2. B9856 cm³
  3. C10010 cm³
  4. D704 cm³
Show answer
Answer: (B) 9856 cm³ Volume = πr²h = 22/7 × 14² × 16 = 9856 cm³.

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Question 11

The perimeter of a rectangle is 68 m and its length is 28 m. What is its area?

  1. A162 m²
  2. B168 m²
  3. C196 m²
  4. D174 m²
Show answer
Answer: (B) 168 m² Breadth = 68/2 − 28 = 6 m; area = 28 × 6 = 168 m².
Question 12

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

  1. A2464 cm²
  2. B176 cm²
  3. C2486 cm²
  4. D4928 cm²
Show answer
Answer: (A) 2464 cm² Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Question 13

What is the volume of a cylinder with radius 14 cm and height 17 cm? (Use π = 22/7)

  1. A10626 cm³
  2. B1496 cm³
  3. C10472 cm³
  4. D748 cm³
Show answer
Answer: (C) 10472 cm³ Volume = πr²h = 22/7 × 14² × 17 = 10472 cm³.
Question 14

The perimeter of a rectangle is 80 m and its length is 24 m. What is its area?

  1. A384 m²
  2. B368 m²
  3. C960 m²
  4. D408 m²
Show answer
Answer: (A) 384 m² Breadth = 80/2 − 24 = 16 m; area = 24 × 16 = 384 m².
Question 15

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

  1. A2772 cm²
  2. B5566 cm²
  3. C264 cm²
  4. D5544 cm²
Show answer
Answer: (D) 5544 cm² Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Question 16

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. C1716 cm³
  4. D18172 cm³
Show answer
Answer: (B) 18018 cm³ Volume = πr²h = 22/7 × 21² × 13 = 18018 cm³.
Question 17

What is the volume of a cylinder with radius 7 cm and height 3 cm? (Use π = 22/7)

  1. A132 cm³
  2. B66 cm³
  3. C462 cm³
  4. D231 cm³
Show answer
Answer: (C) 462 cm³ Volume = πr²h = 22/7 × 7² × 3 = 462 cm³.
Question 18

The perimeter of a rectangle is 70 m and its length is 22 m. What is its area?

  1. A286 m²
  2. B770 m²
  3. C308 m²
  4. D273 m²
Show answer
Answer: (A) 286 m² Breadth = 70/2 − 22 = 13 m; area = 22 × 13 = 286 m².
Question 19

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 20

The perimeter of a rectangle is 62 m and its length is 18 m. What is its area?

  1. A247 m²
  2. B234 m²
  3. C558 m²
  4. D221 m²
Show answer
Answer: (B) 234 m² Breadth = 62/2 − 18 = 13 m; area = 18 × 13 = 234 m².

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