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
Choices:
A) 1677 B) 1683 C) 2523 D) 3363 E) None of these
Explanation:   L.C.M of 5, 6, 7, 8 = 840   therefore Required Number is of the form 840k+3.   Least value of k for which (840k+3) is divisible by 9 is k = 2   therefore Required Number = (840 x 2+3)=1683. Answer: 1683
<result>B</result>
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