What will be remainder when (6767 + 67) is divided by 68 ?

Question:
What will be remainder when (6767 + 67) is divided by 68 ?

[A].

1

[B].

63

[C].

66

[D].

67

Answer: Option C

Explanation:

(xn + 1) will be divisible by (x + 1) only when n is odd.

(6767 + 1) will be divisible by (67 + 1)

(6767 + 1) + 66, when divided by 68 will give 66 as remainder.