JEE Main 2022 · 27 Jul · Shift 1 · Mathematics Q14

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MathematicsSingle correct+4 / -1Question 14 of 90

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

1.0146

1.2085

1.0285

1.1521

Answer and worked solution

Official answer: C

Multiples of 7 among five-digit numbers: $7\times1429$ to $7\times14285$ , which is 12857 numbers.

Also multiples of 35: $35\times286$ to $35\times2857$ , which is 2572.

Probability. $p=\frac{10285}{90000}$ , so $9p=1.0285$ . (C)

Topics:Classical probability Fundamental principle of counting

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JEE Main 2022 · 27 Jul · Shift 1, Mathematics question 14