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CAT Mensuration Questions with Answers & Explanations

20 Mensuration questions from the Quantitative Ability section of CAT, 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 42 m and its length is 12 m. What is its area?

  1. A108 m²
  2. B99 m²
  3. C117 m²
  4. D252 m²
Show answer
Answer: (A) 108 m² Breadth = 42/2 − 12 = 9 m; area = 12 × 9 = 108 m².
Question 2

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

  1. A660 cm³
  2. B4620 cm³
  3. C9240 cm³
  4. D1320 cm³
Show answer
Answer: (C) 9240 cm³ Volume = πr²h = 22/7 × 14² × 15 = 9240 cm³.
Question 3

The perimeter of a rectangle is 58 m and its length is 16 m. What is its area?

  1. A221 m²
  2. B195 m²
  3. C224 m²
  4. D208 m²
Show answer
Answer: (D) 208 m² Breadth = 58/2 − 16 = 13 m; area = 16 × 13 = 208 m².
Question 4

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

  1. A3872 cm²
  2. B1925 cm²
  3. C3850 cm²
  4. D220 cm²
Show answer
Answer: (C) 3850 cm² Area = πr² = 22/7 × 35 × 35 = 3850 cm².
Question 5

The perimeter of a rectangle is 76 m and its length is 21 m. What is its area?

  1. A374 m²
  2. B798 m²
  3. C357 m²
  4. D340 m²
Show answer
Answer: (C) 357 m² Breadth = 76/2 − 21 = 17 m; area = 21 × 17 = 357 m².
Question 6

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

  1. A51 cm
  2. B44 cm
  3. C88 cm
  4. D154 cm
Show answer
Answer: (B) 44 cm Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.
Question 7

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

  1. A1584 cm³
  2. B5544 cm³
  3. C11242 cm³
  4. D11088 cm³
Show answer
Answer: (D) 11088 cm³ Volume = πr²h = 22/7 × 14² × 18 = 11088 cm³.
Question 8

The perimeter of a rectangle is 114 m and its length is 36 m. What is its area?

  1. A735 m²
  2. B777 m²
  3. C756 m²
  4. D2052 m²
Show answer
Answer: (C) 756 m² Breadth = 114/2 − 36 = 21 m; area = 36 × 21 = 756 m².
Question 9

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

  1. A1386 cm²
  2. B2772 cm²
  3. C132 cm²
  4. D693 cm²
Show answer
Answer: (A) 1386 cm² Area = πr² = 22/7 × 21 × 21 = 1386 cm².
Question 10

What is the volume of a cylinder with radius 7 cm and height 5 cm? (Use π = 22/7)

  1. A924 cm³
  2. B385 cm³
  3. C110 cm³
  4. D770 cm³
Show answer
Answer: (D) 770 cm³ Volume = πr²h = 22/7 × 7² × 5 = 770 cm³.

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Question 11

The perimeter of a rectangle is 88 m and its length is 36 m. What is its area?

  1. A324 m²
  2. B296 m²
  3. C288 m²
  4. D280 m²
Show answer
Answer: (C) 288 m² Breadth = 88/2 − 36 = 8 m; area = 36 × 8 = 288 m².
Question 12

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

  1. A1232 cm²
  2. B88 cm²
  3. C308 cm²
  4. D616 cm²
Show answer
Answer: (D) 616 cm² Area = πr² = 22/7 × 14 × 14 = 616 cm².
Question 13

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. D5544 cm³
Show answer
Answer: (C) 38808 cm³ V = (4/3)πr³ = 38808 cm³.
Question 14

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

  1. A310464 cm³
  2. B465696 cm³
  3. C232848 cm³
  4. D22176 cm³
Show answer
Answer: (A) 310464 cm³ V = (4/3)πr³ = 310464 cm³.
Question 15

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

  1. A155232 cm³
  2. B232848 cm³
  3. C465696 cm³
  4. D310464 cm³
Show answer
Answer: (D) 310464 cm³ V = (4/3)πr³ = 310464 cm³.
Question 16

What is the volume of a cylinder with radius 7 cm and height 11 cm? (Use π = 22/7)

  1. A847 cm³
  2. B242 cm³
  3. C1848 cm³
  4. D1694 cm³
Show answer
Answer: (D) 1694 cm³ Volume = πr²h = 22/7 × 7² × 11 = 1694 cm³.
Question 17

The perimeter of a rectangle is 90 m and its length is 28 m. What is its area?

  1. A476 m²
  2. B493 m²
  3. C504 m²
  4. D1260 m²
Show answer
Answer: (A) 476 m² Breadth = 90/2 − 28 = 17 m; area = 28 × 17 = 476 m².
Question 18

What is the volume of a cylinder with radius 14 cm and height 20 cm? (Use π = 22/7)

  1. A12474 cm³
  2. B880 cm³
  3. C1760 cm³
  4. D12320 cm³
Show answer
Answer: (D) 12320 cm³ Volume = πr²h = 22/7 × 14² × 20 = 12320 cm³.
Question 19

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

  1. A2772 cm²
  2. B5544 cm²
  3. C11088 cm²
  4. D5566 cm²
Show answer
Answer: (B) 5544 cm² Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Question 20

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

  1. A465696 cm³
  2. B155232 cm³
  3. C310464 cm³
  4. D22176 cm³
Show answer
Answer: (C) 310464 cm³ V = (4/3)πr³ = 310464 cm³.

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

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