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Question

What will be the remainder when `17^200` is divided by 18 ?


Options:
A .  17
B .  16
C .  1
D .  2
Answer: Option C

When n is even , (`x^n`  - `a^n` ) is completely divisible by (`x` + a)

(`17^200` - `1^200`) is completely  divisible by ( 17 + 1), i.e., 18

`rArr`  (`17^200`  - 1)  is completely divisible by 18

`rArr`  On dividing  `17^200`  by 18, we get 1 as remainder.



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