What are the last two digits of 2253?

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Question

What are the last two digits of

2^{253}

?

Options:

A . 32

B . 92

C . 62

D . 52

Answer: Option B
:
B

2^{253} = (2^{10})^{25} \times 2^{3} = 24 \times 8 = 92

Note -

(2^{10})^{o d d n u m b e r}

always ends in 24.

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