The smallest positive integer n, for which 864 n is a perfect cube, is · ABC26GN1468

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: C.P.O. 2007

The smallest positive integer $n$, for which $864 n$ is a perfect cube, is

(a)1

(b)2

(c)3

(d)4

Answer

Answer (as printed): B

Explanation

$864=3 \times 3 \times 3 \times 4 \times 4 \times 2$. Clearly, 864 when multipled by 2 will become a perfect cube. Hence, $n=2$.

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

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