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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 right
[ 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
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