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Question

774−474 is divisible by:

A
3
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B
11
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C
7
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D
both (a) and (b)
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Solution

The correct option is D both (a) and (b)
774474 is divisible by 3
since anbn is divisible by (a - b) and
Again 774474=(72)37(42)37=49371637
Now, since anbn is divisible by (a - b) if n is odd, then 774474 (i.e., 49371637) is divisible by 11.
Hence d.

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