What is the smallest number by which 3600 be divided to make it a perfect cube? · ABC26GN1474

Subject: General Aptitude · Chapter: Square Roots and Cube Roots

What is the smallest number by which 3600 be divided to make it a perfect cube?

(a)9

(b)50

(c)300

(d)450

Answer

Answer (as printed): D

Explanation

$3600=2^{3} \times 5^{2} \times 3^{2} \times 2$. To make it a perfect cube, it must be divided by $5^{2} \times 3^{2} \times 2$, i.e. 450.

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

Study loop for Square Roots and Cube Roots