Remainders Divisibility

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

  1. 67
  2. 63
  3. 66
  4. 1

Answer

(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.

The correct option is C.