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Question

4 to the power 76+4 to the power 77+4 to the power 78+4 to the power 79 is divisible by ?

A
20
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B
68
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C
Both A and B
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D
Neither A nor B
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Solution

The correct option is D Both A and B
476+477+478+479
=476(1+4+16+64)
=(476)×85
It can be written as 475×4×5×17
=474×4×4×5×17
=474×20×68
Thus, number is divisible by 68 as well as 20.

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