What will be remainder when 17200 is divided by 18 ?

Question:
What will be remainder when 17200 is divided by 18 ?

[A].

17

[B].

16

[C].

1

[D].

2

Answer: Option C

Explanation:

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.