The remainder when $3^{2015}$ is divided by 22 is

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Solution

The correct option is B 3
We have

$3^{2015}$

Then,

$3^{2015} = 3^{4 \times 503 + 3}$

$= 3^{4 \times 503} + 3^{3}$
Hence, the reminder is 3.

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