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

A. 1 only

B. 12 only

C. Any odd integer

D. Any even integer

Answer: Option C

Solution(By Examveda Team)

(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.