question_answer

Find the smallest number which when divided by 36 and 63 leaves 3 as the remainder?

A)  365                       

B)              435

C)  255                       

D)              445

Correct Answer: C

Solution :

     We first find L.C.M of 36 and 63 L.C.M. of 36 and \[63=2\times 2\times 3\times 3\times 7\] = 252 Since, remainder is 3, the required number is 252 + 3 = 255