If n be any natural number then by which largest number (n3-n ) is always divisible?

ABC26GN0288 · Number System

Subject: General Aptitude · Chapter: Number System · Exam: 2010 · Marks: · Difficulty:

If $n$ be any natural number then by which largest number $\left(n^{3}-n\right)$ is always divisible?

(a)3

(b)6

(c)12

(d)18

Answer

Answer (as printed): B

Explanation

(13 – 1) = 0, (23 – 2) = 6, (33 – 3) = 24, (43 – 4) = 60 and so on, each one of which is divisible by 6.

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