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

ABC26GN0295 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: · Marks: · Difficulty:

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.