What will be remainder when 17 200 is divided by 18 ? Options: A . &nbsp17 B . &nbsp16 C . &nbsp1 D . &nbsp2

Answer: Option C When n is even. ( x n - a n ) is completely divisibly by ( x + a ) (17 200 - 1 200 ) is completely divisible by (17 + 1), i.e., 18. (17 200 - 1) is completely divisible by 18. On dividing 17 200 by 18, we get 1 as remainder.

What will be remainder when 17200 is divided by 18 ?

Question

What will be remainder when 17²⁰⁰ is divided by 18 ?

Options:

A . 17

B . 16

C . 1

D . 2

Answer: Option C

When n is even. (xⁿ - aⁿ) is completely divisibly by (x + a)

(17²⁰⁰ - 1²⁰⁰) is completely divisible by (17 + 1), i.e., 18.

(17²⁰⁰ - 1) is completely divisible by 18.

On dividing 17²⁰⁰ by 18, we get 1 as remainder.

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