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Quantitative Aptitude

Divisibility Rule for Composite Numbers

What is the r...

Question

What is the remainder when $30^{40}$ is divided by 17?

A

1

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B

16

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C

13

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D

4

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Solution

The correct option is B 16
$30^{40} = (30^{2})^{20}$
$30^{2} = 884 + 16$
884 is divided by 17 Hence remainder is 16

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