By what least number should 675 be multiplied so as to obtain a perfect cube number ?

Answer: Option B

$$\begin{array}{rl}& \text{According to question,}\\ & \text{5}\text{| 675}\\ & ------\\ & 5|135\\ & ------\\ & 5|27\\ & ------\\ & 3|9\\ & ------\\ & 3|3\\ & ------\\ & |1\\ & \text{Factors are}\\ & =5\times 5\times 3\times 3\times 3\end{array}$$
∴ It must be multiplied by 5 to make a perfect cube.