What will be remainder when (67 67 + 67) is divided by 68 ? Options: A . &nbsp1 B . &nbsp63 C . &nbsp66 D . &nbsp67

Answer: Option C ( x n + 1) will be divisible by ( x + 1) only when n is odd. (67 67 + 1) will be divisible by (67 + 1) (67 67 + 1) + 66, when divided by 68 will give 66 as remainder.

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

Question

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

Options:

A . 1

B . 63

C . 66

D . 67

Answer: Option C

(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.

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