If n is any positive integer, 3⁴ⁿ - 4³ⁿ is always divisible by :

A. 7

B. 12

C. 17

D. 145

Answer: Option C

Solution(By Examveda Team)

Putting n = 1, we get (3⁴ⁿ - 4³ⁿ)
= (3⁴ - 4³)
= (81 - 64)
= 17
Which is divisible by 17