1.

Cards marked with numbers 13, 14, 15,.......,60 are placed in a box and mixed thoroughly. One card is drawn at random from the box. Find the probability that number on the drawn card is (i) divisible by 5. (ii) a number which is a perfect square.(i)(ii)(A)5/241/24(B)5/241/12(C)1/125/12(D)None of these

Answer»

The correct option is: (B)

Explanation:

 Outcomes are 13, 14,15,......., 60.

 Total number of possible outcomes = 60 - 12 = 48 

(i) The numbers divisible by 5 are 15,20,25,30, 35, 40, 45, 50, 55, 60.

Thus, the number of numbers divisible by 5 = 10 

Required Probability = 10/48 = 5/24

(ii) Perfect square numbers are 16,25,36,49 

Thus, the number of perfect square number = 4

Required probability = 4/48 = 1/12



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