If n is a whole number greater than 1, then n² (n²-1) is always divisible by · ABC26GN0295

Subject: General Aptitude · Chapter: Number System

If $n$ is a whole number greater than 1 , then $n^{2}\left(n^{2}-1\right)$ is always divisible by

(a)8

(b)10

(c)12

(d)16

Answer

Answer (as printed): C

Explanation

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.

Explanation as extracted from the printed page; notation may be imperfect.

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