Question

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

Answer 1

since 67 is odd, (67⁶⁷ + 1) will be divisible by (67 + 1) or 68.

(67⁶⁷ + 67) = (67⁶⁷ + 1) + 66

So 66 will be remainder.

Answer 2

66 is the remainder for (67^67 + 67) is divided by 68