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Agniveer Navy Mensuration Questions with Answers & Explanations

19 Mensuration questions from the Mathematics section of Agniveer Navy, 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 sphere of radius 21 cm? (Use π = 22/7)

  1. A58212 cm³
  2. B19404 cm³
  3. C38808 cm³
  4. D29106 cm³
Show answer
Answer: (C) 38808 cm³ V = (4/3)πr³ = 38808 cm³.
Question 2

The perimeter of a rectangle is 70 m and its length is 27 m. What is its area?

  1. A224 m²
  2. B216 m²
  3. C208 m²
  4. D243 m²
Show answer
Answer: (B) 216 m² Breadth = 70/2 − 27 = 8 m; area = 27 × 8 = 216 m².
Question 3

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

  1. A528 cm
  2. B271 cm
  3. C132 cm
  4. D264 cm
Show answer
Answer: (D) 264 cm Circumference = 2πr = 2 × 22/7 × 42 = 264 cm.
Question 4

What is the volume of a cylinder with radius 21 cm and height 17 cm? (Use π = 22/7)

  1. A23716 cm³
  2. B1122 cm³
  3. C23562 cm³
  4. D11781 cm³
Show answer
Answer: (C) 23562 cm³ Volume = πr²h = 22/7 × 21² × 17 = 23562 cm³.
Question 5

The perimeter of a rectangle is 66 m and its length is 25 m. What is its area?

  1. A208 m²
  2. B825 m²
  3. C200 m²
  4. D192 m²
Show answer
Answer: (C) 200 m² Breadth = 66/2 − 25 = 8 m; area = 25 × 8 = 200 m².
Question 6

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

  1. A264 cm
  2. B66 cm
  3. C139 cm
  4. D132 cm
Show answer
Answer: (D) 132 cm Circumference = 2πr = 2 × 22/7 × 21 = 132 cm.
Question 7

What is the volume of a cylinder with radius 21 cm and height 2 cm? (Use π = 22/7)

  1. A132 cm³
  2. B2926 cm³
  3. C264 cm³
  4. D2772 cm³
Show answer
Answer: (D) 2772 cm³ Volume = πr²h = 22/7 × 21² × 2 = 2772 cm³.
Question 8

The perimeter of a rectangle is 54 m and its length is 18 m. What is its area?

  1. A171 m²
  2. B162 m²
  3. C486 m²
  4. D180 m²
Show answer
Answer: (B) 162 m² Breadth = 54/2 − 18 = 9 m; area = 18 × 9 = 162 m².
Question 9

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

  1. A183 cm
  2. B2464 cm
  3. C176 cm
  4. D352 cm
Show answer
Answer: (C) 176 cm Circumference = 2πr = 2 × 22/7 × 28 = 176 cm.
Question 10

What is the volume of a cylinder with radius 7 cm and height 20 cm? (Use π = 22/7)

  1. A880 cm³
  2. B3234 cm³
  3. C3080 cm³
  4. D440 cm³
Show answer
Answer: (C) 3080 cm³ Volume = πr²h = 22/7 × 7² × 20 = 3080 cm³.

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Question 11

The perimeter of a rectangle is 64 m and its length is 21 m. What is its area?

  1. A242 m²
  2. B220 m²
  3. C252 m²
  4. D231 m²
Show answer
Answer: (D) 231 m² Breadth = 64/2 − 21 = 11 m; area = 21 × 11 = 231 m².
Question 12

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

  1. A176 cm²
  2. B44 cm²
  3. C154 cm²
  4. D77 cm²
Show answer
Answer: (C) 154 cm² Area = πr² = 22/7 × 7 × 7 = 154 cm².
Question 13

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

  1. A155232 cm³
  2. B310464 cm³
  3. C22176 cm³
  4. D232848 cm³
Show answer
Answer: (B) 310464 cm³ V = (4/3)πr³ = 310464 cm³.
Question 14

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

  1. A29106 cm³
  2. B38808 cm³
  3. C19404 cm³
  4. D58212 cm³
Show answer
Answer: (B) 38808 cm³ V = (4/3)πr³ = 38808 cm³.
Question 15

What is the volume of a cylinder with radius 21 cm and height 2 cm? (Use π = 22/7)

  1. A264 cm³
  2. B2772 cm³
  3. C1386 cm³
  4. D132 cm³
Show answer
Answer: (B) 2772 cm³ Volume = πr²h = 22/7 × 21² × 2 = 2772 cm³.
Question 16

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

  1. A310464 cm³
  2. B232848 cm³
  3. C465696 cm³
  4. D22176 cm³
Show answer
Answer: (A) 310464 cm³ V = (4/3)πr³ = 310464 cm³.
Question 17

What is the volume of a cylinder with radius 21 cm and height 20 cm? (Use π = 22/7)

  1. A27720 cm³
  2. B27874 cm³
  3. C2640 cm³
  4. D13860 cm³
Show answer
Answer: (A) 27720 cm³ Volume = πr²h = 22/7 × 21² × 20 = 27720 cm³.
Question 18

The perimeter of a rectangle is 42 m and its length is 14 m. What is its area?

  1. A98 m²
  2. B112 m²
  3. C105 m²
  4. D91 m²
Show answer
Answer: (A) 98 m² Breadth = 42/2 − 14 = 7 m; area = 14 × 7 = 98 m².
Question 19

What is the area of a circle of radius 14 cm? (Use π = 22/7)

  1. A638 cm²
  2. B616 cm²
  3. C308 cm²
  4. D1232 cm²
Show answer
Answer: (B) 616 cm² Area = πr² = 22/7 × 14 × 14 = 616 cm².

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