If (12n + 1) is divisible by 13, then n is : Options: A . &nbsp1 only B . &nbsp12 only C . &nbspAny odd integer D . &nbspAny even integer

If (12n + 1) is divisible by 13, then n is :

Question

If (12n + 1) is divisible by 13, then n is :

Options:

A . 1 only

B . 12 only

C . Any odd integer

D . Any even integer

Answer: Option C
(xn + an) is divisible by (x + a) when n is odd.
∴ (12n + 1) is divisible by (12 + 1) i.e., 13 when n is odd.

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