1 .

A number when divided by 527 gives a remainder 31. What remainder will be obtained by dividing the same number by 17?

[ A ]    14
[ B ]    12
[ C ]    13
[ D ]    8
[ E ]    None of these
 Answer : Option A Explanation : Number = 527 $\times$ Q + 31 = 17 $\times$ 31 $\times$ Q + 17 + 14 = 17{31 $\times$ Q + 1} + 14 So, when divided by 17, the remainder will be 14