If n is a whole number greater than 1, then n² (n² - 1) is always divisible by :

A. 8

B. 10

C. 12

D. 16

Answer: Option C

Solution(By Examveda Team)

Let N = n² (n² - 1) = n² (n - 1) (n + 1)
Then, n = 2
⇒ N = 2² × (2 - 1) (2 + 1)
        = (4 × 1 × 3) = 12
Hence, the required number is 12