What is the remainder when 1025−7 is divided by 3?

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Question

What is the remainder when $10^{25} - 7$ is divided by 3?

Options:

A . 1

B . 2

C . 3

D . 0

Answer: Option D
:
D

10^{x}

when divided by 3, gives a remainder of 1 always. Also

\frac{7}{3}

gives a remainder of 1.

Thus 1-1=0. Remainder when $10^{25} - 7$ is divided by 3=0.

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