Q21 of 52 Page 1

A box contains 70 cards numbered from 1 to 70. If one card is drawn at random from the box, find the probability that it bears

(i) a perfect square number


(ii) a number divisible by 2 and 3

(i) Perfect squares upto 70 are 12, 22, 32, ….. 82 = 8


Probability of getting a perfect square = 8/70 = 4/35


(ii) Numbers divisible by 2 and 3 are: 6, 12, 18, ……….. 66


So the total numbers are 11


∴Probability of getting a number divisible by 2 and 3 = 11/70


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