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Q: The least multiple of 7 which when divided by 8, 12 and 16 leaves 3 as remainder in each case
  • A. 70
  • B. 48
  • C. 147
  • D. 56
Correct Answer: Option C - Number = (L.C.M of 8, 12 and 16) K + 3 = 48 K + 3 Where K = 1, 2, 3, 4..... Taking K = 3 for the least multiple of 7. Least multiple = 48 × 3 + 3 = 147
C. Number = (L.C.M of 8, 12 and 16) K + 3 = 48 K + 3 Where K = 1, 2, 3, 4..... Taking K = 3 for the least multiple of 7. Least multiple = 48 × 3 + 3 = 147

Explanations:

Number = (L.C.M of 8, 12 and 16) K + 3 = 48 K + 3 Where K = 1, 2, 3, 4..... Taking K = 3 for the least multiple of 7. Least multiple = 48 × 3 + 3 = 147