Find the remainder when 287 is divided by 100

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Question

Find the remainder when

2^{87}

is divided by 100

Options:

A . 56

B . 28

C . 76

D . 01

Answer: Option B
:
B
Shortcut of last two digits:
When the question is about finding the remainder when you divide a number by 100, what we actually need to find out is the last two digits, for which we have a direct shortcut. For an indepth explanation, please refer the demo tutorial

2^{87} = (2^{10})^{8} \times 2^{7}

(2^{10})^{e v e v p o w e r} w i l l a l w a y s e n d i n . .76

2^{7}

ends in ...28
Therefore 76x...28=28

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