If n is a whole number greater than 1, then n2(n2

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

1. 16
2. 12
3. 10
4. 8

Correct Option: B

n²(n²–1) = n² (n + 1) (n – 1)
Now, we put values n = 2, 3..... When n = 2
∴ n²(n² –1) = 4 × 3 × 1 = 12, which is a multiple of 12
When n = 3.
n²(n² –1) = 9 × 4 × 2 = 72,
which is also a multiple of 12. etc.