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BARC OCES/DGFS Mensuration Questions with Answers & Explanations

19 Mensuration questions from the Quantitative Aptitude section of BARC OCES/DGFS, 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 80 m and its length is 34 m. What is its area?

  1. A210 m²
  2. B204 m²
  3. C198 m²
  4. D238 m²
Show answer
Answer: (B) 204 m² Breadth = 80/2 − 34 = 6 m; area = 34 × 6 = 204 m².
Question 2

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

  1. A308 cm²
  2. B88 cm²
  3. C616 cm²
  4. D638 cm²
Show answer
Answer: (C) 616 cm² Area = πr² = 22/7 × 14 × 14 = 616 cm².
Question 3

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

  1. A528 cm
  2. B5544 cm
  3. C264 cm
  4. D132 cm
Show answer
Answer: (C) 264 cm Circumference = 2πr = 2 × 22/7 × 42 = 264 cm.
Question 4

What is the volume of a cylinder with radius 14 cm and height 13 cm? (Use π = 22/7)

  1. A8162 cm³
  2. B8008 cm³
  3. C572 cm³
  4. D1144 cm³
Show answer
Answer: (B) 8008 cm³ Volume = πr²h = 22/7 × 14² × 13 = 8008 cm³.
Question 5

The perimeter of a rectangle is 86 m and its length is 37 m. What is its area?

  1. A222 m²
  2. B216 m²
  3. C259 m²
  4. D1591 m²
Show answer
Answer: (A) 222 m² Breadth = 86/2 − 37 = 6 m; area = 37 × 6 = 222 m².
Question 6

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

  1. A5544 cm²
  2. B2772 cm²
  3. C264 cm²
  4. D11088 cm²
Show answer
Answer: (A) 5544 cm² Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Question 7

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

  1. A2002 cm³
  2. B2156 cm³
  3. C286 cm³
  4. D572 cm³
Show answer
Answer: (A) 2002 cm³ Volume = πr²h = 22/7 × 7² × 13 = 2002 cm³.
Question 8

The perimeter of a rectangle is 98 m and its length is 26 m. What is its area?

  1. A621 m²
  2. B1274 m²
  3. C575 m²
  4. D598 m²
Show answer
Answer: (D) 598 m² Breadth = 98/2 − 26 = 23 m; area = 26 × 23 = 598 m².
Question 9

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

  1. A176 cm²
  2. B2486 cm²
  3. C2464 cm²
  4. D1232 cm²
Show answer
Answer: (C) 2464 cm² Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Question 10

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

  1. A2002 cm³
  2. B1848 cm³
  3. C264 cm³
  4. D924 cm³
Show answer
Answer: (B) 1848 cm³ Volume = πr²h = 22/7 × 7² × 12 = 1848 cm³.

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Question 11

The perimeter of a rectangle is 40 m and its length is 14 m. What is its area?

  1. A90 m²
  2. B78 m²
  3. C84 m²
  4. D280 m²
Show answer
Answer: (C) 84 m² Breadth = 40/2 − 14 = 6 m; area = 14 × 6 = 84 m².
Question 12

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

  1. A440 cm
  2. B110 cm
  3. C220 cm
  4. D3850 cm
Show answer
Answer: (C) 220 cm Circumference = 2πr = 2 × 22/7 × 35 = 220 cm.
Question 13

What is the volume of a cylinder with radius 7 cm and height 6 cm? (Use π = 22/7)

  1. A264 cm³
  2. B924 cm³
  3. C132 cm³
  4. D462 cm³
Show answer
Answer: (B) 924 cm³ Volume = πr²h = 22/7 × 7² × 6 = 924 cm³.
Question 14

The perimeter of a rectangle is 94 m and its length is 33 m. What is its area?

  1. A495 m²
  2. B462 m²
  3. C476 m²
  4. D1551 m²
Show answer
Answer: (B) 462 m² Breadth = 94/2 − 33 = 14 m; area = 33 × 14 = 462 m².
Question 15

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

  1. A183 cm
  2. B176 cm
  3. C88 cm
  4. D352 cm
Show answer
Answer: (B) 176 cm Circumference = 2πr = 2 × 22/7 × 28 = 176 cm.
Question 16

What is the volume of a cylinder with radius 14 cm and height 19 cm? (Use π = 22/7)

  1. A11858 cm³
  2. B1672 cm³
  3. C11704 cm³
  4. D836 cm³
Show answer
Answer: (C) 11704 cm³ Volume = πr²h = 22/7 × 14² × 19 = 11704 cm³.
Question 17

The perimeter of a rectangle is 60 m and its length is 17 m. What is its area?

  1. A221 m²
  2. B208 m²
  3. C510 m²
  4. D234 m²
Show answer
Answer: (A) 221 m² Breadth = 60/2 − 17 = 13 m; area = 17 × 13 = 221 m².
Question 18

The perimeter of a rectangle is 44 m and its length is 15 m. What is its area?

  1. A98 m²
  2. B120 m²
  3. C330 m²
  4. D105 m²
Show answer
Answer: (D) 105 m² Breadth = 44/2 − 15 = 7 m; area = 15 × 7 = 105 m².
Question 19

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

  1. A1232 cm²
  2. B4928 cm²
  3. C176 cm²
  4. D2464 cm²
Show answer
Answer: (D) 2464 cm² Area = πr² = 22/7 × 28 × 28 = 2464 cm².

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

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