Home Maths Permutations & Combination JEE Main 2022 Let S be the sample space of all five digit …
Maths Permutations & Combination JEE Main 2022 Single Correct MCQ
Published on: August 13, 2026

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

A
1.0146
B
1.2085
C
1.0285
D
1.1521

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Text Solution

Verified by Experts
The correct answer is:
C

n(S) = all 5 digit nos = 9 x 10 4

A : no is multiple of 7 but not divisible by 5

Smallest 5 digit divisible by 7 is 10003

Largest 5 digit divisible by 7 is 99995

99995 = 10003 + (n - 1) 7 n = 12857

Numbers divisible by 35 99995 = 10010 + (P-l) 35 P = 2572

Numbers divisible by 7 but not by 35 are

12857-2572=10285

9P= 1.0285

Ans. [1.0285]

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