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SSC MTS Mensuration Questions with Answers & Explanations

20 Mensuration questions from the Session I: Numerical & Mathematical Ability section of SSC MTS, 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 34 m and its length is 11 m. What is its area?

  1. A187 m²
  2. B66 m²
  3. C77 m²
  4. D72 m²
Show answer
Answer: (B) 66 m² Breadth = 34/2 − 11 = 6 m; area = 11 × 6 = 66 m².
Question 2

What is the volume of a cylinder with radius 21 cm and height 6 cm? (Use π = 22/7)

  1. A4158 cm³
  2. B396 cm³
  3. C8316 cm³
  4. D792 cm³
Show answer
Answer: (C) 8316 cm³ Volume = πr²h = 22/7 × 21² × 6 = 8316 cm³.
Question 3

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

  1. A3850 cm²
  2. B1925 cm²
  3. C7700 cm²
  4. D220 cm²
Show answer
Answer: (A) 3850 cm² Area = πr² = 22/7 × 35 × 35 = 3850 cm².
Question 4

The perimeter of a rectangle is 102 m and its length is 34 m. What is its area?

  1. A578 m²
  2. B612 m²
  3. C561 m²
  4. D595 m²
Show answer
Answer: (A) 578 m² Breadth = 102/2 − 34 = 17 m; area = 34 × 17 = 578 m².
Question 5

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

  1. A836 cm³
  2. B11704 cm³
  3. C11858 cm³
  4. D1672 cm³
Show answer
Answer: (B) 11704 cm³ Volume = πr²h = 22/7 × 14² × 19 = 11704 cm³.
Question 6

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

  1. A5566 cm²
  2. B264 cm²
  3. C5544 cm²
  4. D11088 cm²
Show answer
Answer: (C) 5544 cm² Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Question 7

The perimeter of a rectangle is 74 m and its length is 31 m. What is its area?

  1. A1147 m²
  2. B192 m²
  3. C180 m²
  4. D186 m²
Show answer
Answer: (D) 186 m² Breadth = 74/2 − 31 = 6 m; area = 31 × 6 = 186 m².
Question 8

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

  1. A2464 cm³
  2. B4928 cm³
  3. C704 cm³
  4. D5082 cm³
Show answer
Answer: (B) 4928 cm³ Volume = πr²h = 22/7 × 14² × 8 = 4928 cm³.
Question 9

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

  1. A88 cm
  2. B176 cm
  3. C44 cm
  4. D95 cm
Show answer
Answer: (A) 88 cm Circumference = 2πr = 2 × 22/7 × 14 = 88 cm.
Question 10

The perimeter of a rectangle is 146 m and its length is 40 m. What is its area?

  1. A1320 m²
  2. B1287 m²
  3. C1353 m²
  4. D1360 m²
Show answer
Answer: (A) 1320 m² Breadth = 146/2 − 40 = 33 m; area = 40 × 33 = 1320 m².

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Question 11

What is the volume of a cylinder with radius 7 cm and height 9 cm? (Use π = 22/7)

  1. A1540 cm³
  2. B198 cm³
  3. C1386 cm³
  4. D396 cm³
Show answer
Answer: (C) 1386 cm³ Volume = πr²h = 22/7 × 7² × 9 = 1386 cm³.
Question 12

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

  1. A2464 cm²
  2. B4928 cm²
  3. C1232 cm²
  4. D176 cm²
Show answer
Answer: (A) 2464 cm² Area = πr² = 22/7 × 28 × 28 = 2464 cm².
Question 13

The perimeter of a rectangle is 42 m and its length is 13 m. What is its area?

  1. A273 m²
  2. B96 m²
  3. C104 m²
  4. D112 m²
Show answer
Answer: (C) 104 m² Breadth = 42/2 − 13 = 8 m; area = 13 × 8 = 104 m².
Question 14

The perimeter of a rectangle is 78 m and its length is 20 m. What is its area?

  1. A780 m²
  2. B399 m²
  3. C361 m²
  4. D380 m²
Show answer
Answer: (D) 380 m² Breadth = 78/2 − 20 = 19 m; area = 20 × 19 = 380 m².
Question 15

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

  1. A2156 cm³
  2. B1001 cm³
  3. C2002 cm³
  4. D286 cm³
Show answer
Answer: (C) 2002 cm³ Volume = πr²h = 22/7 × 7² × 13 = 2002 cm³.
Question 16

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

  1. A22 cm
  2. B44 cm
  3. C88 cm
  4. D51 cm
Show answer
Answer: (B) 44 cm Circumference = 2πr = 2 × 22/7 × 7 = 44 cm.
Question 17

The perimeter of a rectangle is 54 m and its length is 22 m. What is its area?

  1. A105 m²
  2. B115 m²
  3. C110 m²
  4. D132 m²
Show answer
Answer: (C) 110 m² Breadth = 54/2 − 22 = 5 m; area = 22 × 5 = 110 m².
Question 18

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

  1. A880 cm³
  2. B3080 cm³
  3. C3234 cm³
  4. D1540 cm³
Show answer
Answer: (B) 3080 cm³ Volume = πr²h = 22/7 × 7² × 20 = 3080 cm³.
Question 19

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

  1. A5544 cm²
  2. B11088 cm²
  3. C2772 cm²
  4. D264 cm²
Show answer
Answer: (A) 5544 cm² Area = πr² = 22/7 × 42 × 42 = 5544 cm².
Question 20

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

  1. A2156 cm³
  2. B308 cm³
  3. C616 cm³
  4. D2310 cm³
Show answer
Answer: (A) 2156 cm³ Volume = πr²h = 22/7 × 7² × 14 = 2156 cm³.

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

More Session I: Numerical & Mathematical Ability topics

Number System 27 Qs Profit, Loss & Discount 23 Qs Speed, Time & Distance 22 Qs Simple & Compound Interest 19 Qs Simplification & Approximation 18 Qs Average 18 Qs Time & Work 17 Qs Mixture & Alligation 17 Qs

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