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A number when divided by 16 leaves a remainder 7, and when the same number is divided by 24 it leaves a remainder 15.
What is the smallest such positive number?

Class 10HCF and LCMNumber Systems
  • A35
  • B78
  • C39
  • D43

Step-by-Step Solution

16 - 7 = 9 and 24 - 15 = 9, the deficit is the same. So number = LCM(16, 24) - 9 = 48 - 9 = 39. Check: and .
Answer: C) 39

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