Divisibility

If n is any odd number greater than 1, then n(n2 - 1) is

  1. divisible by 24 always
  2. divisible by 96 always
  3. divisible by 48 always
  4. None of these

Answer

Minimum possible value of n is 3. For n = 3

n(n2 - 1) = 24

The correct option is A.