HCF & LCM

JKSSB Sub-Inspector (Telecommunication) · Basic Numeracy · 10 practice questions with answers and explanations: 0 Easy, 5 Medium, 5 Hard.

Sample questions

Sample Medium question 1

Find the greatest number that divides 245 and 1,029 leaving a remainder of 5 in each case.

  1. 32
  2. 8
  3. 12
  4. 16
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Answer: D. Subtract the remainder: 240 and 1,024. HCF(240, 1024) = 16.

Sample Hard question 2

Find the smallest 4-digit number that is exactly divisible by 12, 15 and 20.

  1. 1020
  2. 1000
  3. 1080
  4. 1200
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Answer: A. LCM(12, 15, 20) = 60. The smallest multiple of 60 that is at least 1,000 is 60 × 17 = 1,020.

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