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Ladakh Prison Department · Mathematics · 100 practice questions with answers and explanations: 50 Easy, 50 Medium, 0 Hard.

Sample questions

Sample Easy question 1

Find the slant height of a cone with radius 6 cm and height 8 cm.

  1. 11 cm
  2. 10 cm
  3. 9 cm
  4. 8 cm
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Answer: B. Slant height = √(36 + 64) = √100 = 10 cm.

Sample Easy question 2

Find the curved surface area of a cone with radius 7 cm and slant height 25 cm. (Use π = 22/7.)

  1. 554
  2. 550
  3. 552
  4. 548
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Answer: B. CSA = πrl = (22/7) × 7 × 25 = 550 cm².

Sample Easy question 3

Find the curved surface area of a cone with radius 6 cm and slant height 10 cm. (Use π = 22/7.)

  1. 188.6
  2. 189.6
  3. 186.6
  4. 187.6
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Answer: A. CSA = πrl = (22/7) × 6 × 10 = 188.57 ≈ 188.6 cm².

Sample Medium question 4

Find the volume of a cone with radius 7 cm and height 24 cm. (Use π = 22/7.)

  1. 1236
  2. 1232
  3. 1234
  4. 1230
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Answer: B. Volume = (1/3)πr²h = (1/3) × (22/7) × 49 × 24 = 1232 cm³.

Sample Medium question 5

Find the volume of a cone with radius 14 cm and height 15 cm. (Use π = 22/7.)

  1. 3080
  2. 3078
  3. 3084
  4. 3082
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Answer: A. Volume = (1/3) × (22/7) × 196 × 15 = 3080 cm³.

Sample Medium question 6

A cylindrical tank has a radius of 3.5 m and height 6 m. Find its capacity in litres (1 m³ = 1000 litres, use π = 22/7).

  1. 233000
  2. 230000
  3. 232000
  4. 231000
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Answer: D. Volume = πr²h = (22/7) × 12.25 × 6 = 231 m³ = 2,31,000 litres.

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