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Question

A number is chosen at random among the first 120 natural numbers. The probability of the number chosen to be a multiple of 5 or 15 is:


A

15

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B

18

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C

124

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D

16

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Solution

The correct option is A

15


Explanation for the correct option:

Step: 1 Find out the ways a number can be chosen at random from the first 120 natural numbers.

The ways a number can be chosen at random from the first 120 numbers is

=C1120=120

Step: 2 Find out the probability of the chosen number to be a multiple of 5 or 15.

The numbers in between 1to 120 that are multiple of 5or 15 are [5,10,15,20,25,30,35,40,45,50,55,60,65,70,75,80,85,90,95,100,105,110,115,120].

Therefore, total numbers in between 1to 120 that are multiple of 5or 15 is 24.

Therefore, the required probability is

=24120=15

Therefore, Option (A) is the correct answer.


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