Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .	Pick one:
A) 1638 B) 1863 C) 1683 D) 1836 E) None of them
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   Answer is 1683.
<result>C</result>
Find the least number which when divided by 5,6,7, and 8 leaves a remainder 3, but when divided by 9 leaves no remainder .