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Find the least number which, when divided by 15, 20 and 36, leaves remainders 8, 13 and 29 respectively.

Competition practiceNumber System, HCF & LCM
  • A173
  • B187
  • C180
  • D353

Step-by-Step Solution

In each case divisor − remainder = 7, so the number is 7 short of a common multiple. LCM(15, 20, 36) = 180, so the least number is 180 − 7 = 173.
Answer: A) 173

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