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Question

If is a prime number, then np - n is divisible by p when n is a


A

Natural number greater than 1

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B

Irrational number

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C

Complex number

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D

Odd number

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Solution

The correct option is A

Natural number greater than 1


np - n is divisible by p for any natural number

greater than 1. It is Fermet's theorem.

Trick: Let n = 4 and p = 2

Then (4)2 - 4 = 16 - 4 = 12, it is divisible by 2.

So,it is true for any natural number greater than 1.


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