The expression $2^{7777} + 7^{2222}$ is divisible by

177

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1001

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9999

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All of these

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Solution

The correct option is A 177
$2^{7777} + 7^{2222}$
$(2^{7})^{1111} + (7^{2})^{1111}$
$(128)^{1111} + (49)^{1111}$
So, it must be divisible by 177 i.e. (128 + 49)

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