ABC26GN0312 · Number System

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

The largest number that exactly divides each number of the sequence $1^{5}-1,2^{5}-2,3^{5}-3, \ldots, n^{5}-n, \ldots$. is

(a)1

(b)15

(c)30

(d)120

Answer

Answer (as printed): C

Explanation

Required number $=\left(2^{5}-2\right)=(32-2)=30$.

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

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