If a number is chosen at random from the set 1, 2, 3, ......., 100, then the probability that the chosen number is a perfect cube is -

Answer: Option A

We have 1, 8, 27 and 64 as perfect cubes from 1 to 100.
Thus, the probability of picking a perfect cube is
$$\begin{array}{rl}& =\frac{4}{100}\\ & =\frac{1}{25}\end{array}$$