(96 + 1) when divided by 8, would leave a remainder of : Options: A . &nbsp0 B . &nbsp1 C . &nbsp2 D . &nbsp3

(96 + 1) when divided by 8, would leave a remainder of :

Question

(96 + 1) when divided by 8, would leave a remainder of :

Options:

A . 0

B . 1

C . 2

D . 3

Answer: Option C
(xn - an) is divisible by (x - a) for all values of n∴ (96 - 16) is divisible by (9 - 1)
⇒ (96 - 1) is divisible by 8
⇒ on dividing (96 + 1) by 8, we get 2 as remainder.

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