If n be any natural number then by which largest number (n³-n) is always divisible? · ABC26GN0288

Subject: General Aptitude · Chapter: Number System · Exam: S.S.C. 2010

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.

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