The least number which when divided by 5,6,7 and 8 leaves a remainder 3, but when divided by 9 leaves no remainder, is = ?
  • 11677
  • 21683
  • 32523
  • 43363
Answer:- 1
Explanation:-

Solution:
LCM of 5, 6, 7, 8 = 840
∴ Required number is of the from 840k + 3
Least value of k for which (840k + 3) is divisible by 9 is k = 2
∴ Required number = (840 × 2 + 3) = 1683

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