By what least number must 21600 be multiplied so as to make it a perfect cube? · ABC26GN1473

Subject: General Aptitude · Chapter: Square Roots and Cube Roots · Exam: M.A.T. 2002

By what least number must 21600 be multiplied so as to make it a perfect cube?

(a)6

(b)10

(c)20

(d)30

Answer

Answer (as printed): B

Explanation

$21600=2^{5} \times 3^{3} \times 5^{2}$. To make it a perfect cube, it must be multiplied by $(2 \times 5)$, i.e., 10 .

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

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