GATE | GATE CS 2013 | Question 62

Out of all the 2-digit integers between 1 and 100, a 2-digit number has to be selected at random. What is the probability that the selected number is not divisible by 7?

(A) 13/90
(B) 12/90
(C) 78/90
(D) 77/90


Answer: (D)

Explanation: There are total 90 two digit numbers, out of them 13 are divisible by 7, these are 14, 21, 28, 35, 42, 49, 56, 63, 70, 77, 84, 91, 98.
Therefore, probability that selected number is not divisible by 7 = 1 – 13/90 = 77/90.
So, option (D) is true.

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