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 : Choose the correct choice from the following answers.
A) 1677  B) 1683  C) 2523  D) 3363  E) None of these
Solution   L.C.M. of 5, 6, 7, 8 = 840.   So, Required number is of the form 840 k + 3.   Least value of k for which (840 k + 3) is divisible by 9 is k = 2.   so, Required number = (840 × 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 :