The remainder obtained when $3^{450}$ is divided by 108 is

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Solution

The correct option is D
3

$108 = 3^{3} \times 4$

$\frac{(3^{450})}{108} = \frac{3^{447}}{4}$

$\frac{3^{n}}{4}$ the remainder is 3 when n is odd and the remainder is 1 when n is even.

So, the remainder is 3

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