IIFT 5th Dec 2021 Slot 1 Question 7

Question 7

Determine the number of positive integer 'n' where 1 $$\le\ $$ n $$\le\ $$ 100 and 'n' is not divisible by 2, 3 or 5.

Solution

The number of numbers divisible by 2 = 50
The number of numbers divisible by 3 = 33
The number of numbers divisible by 5 = 20
The number of numbers divisible by 2 and 3 = 16
The number of numbers divisible by 2 and 5 = 10
The number of numbers divisible by 3 and 5 = 6
The number of numbers divisible by 2, 3 and 5 = 3
The number of numbers divisible by 2, 3 or 5 = 50 + 33 + 20 - 16 - 10 - 6 + 3 =74
The number of numbers not divisible by 2, 3 or 5 = 100 - 74 = 26
Answer is option C.



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