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Question

Let N=553+173723. N is divisible by:

A
both 7 and 13
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B
both 3 and 13
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C
both 17 and 7
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D
both 3 and 17
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Solution

The correct option is D both 3 and 17

N=553+173723=(55+17)(552+17255×17)723 = 72(552+17255×17(55+17)2)

=72(55×172×55×17) = 72×3×55×17.

Hence, the correct answer is option (d).


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