Question

Numbers from 1 to 5000 are written on 5000 separate slips (one number on one slip). These slips are kept in a bag and mixed well. If one slip is chosen from the bag without looking into it, then the probability that the number on the slip is a perfect square as well as a perfect cube is

Answer 1

Since there are 70 squares upto 5000 and 17 cube roots upto the same.

So the probability is 70+17 divided by 5000

= 87/5000