JEE Main 2022 Mathematics question

Let S be the sample space of all five digit numbers. It p is the probability that a randomly selected number from S, is multiple of 7 but not divisible by 5, then 9p is equal to

(1)1.0146
(2)1.2085
(3)1.0285Correct
(4)1.1521

Answer: (3)

Solution

The five-digit multiples of 7 run from 10003 to 99995, so their number is (99995 − 10003)/7 + 1 = 12857. The multiples of 35 run from 10010 to 99995, so their number

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Question ID VK-034429