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: A. 1677 B. 1683 C. 2523 D. 3363 Answer Workspace Report Discuss Answer with explanation Answer: Option B Explanation L.C.M. of 5, 6, 7, 8 = 840. Required number is of the form 840k + 3 Least value of k for which (840k + 3) is divisible by 9 is k = 2. Required number = (840 x 2 + 3) = 1683. Workspace
Required number is of the form 840k + 3
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