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

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

Correct Option: C

Solving the question by taking two odd numbers greater than 1 i.e. 3 and 5,
for n =3, n( n² -1 ) = 3( 9 - 1) = 24
for n = 5 n( n² -1 ) = 5( 25 - 1) = 120

Using option we find that both the number are divisible by 24.