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

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

( 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.

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Accepted Answer

( x ⁿ + 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.

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

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