How many positive integers between 200 and 300 (both inclusive) are not divisible by 2, 3 or 5?
A. 3
B. 16
C. 75
D. 24
E. 26
Thanks
A. 3
B. 16
C. 75
D. 24
E. 26
Thanks
In all there are 101 numbers between 200 and 300 inclusive
There are 51 numbers divisible by 2.
34 numbers divisible by 3 but 17 of them are also divisible by 2 so no need to count them again, hence numbers divisible by 3 = 17
21 numbers divisible by 5, but 11 numbers are also divisible by 2 and 3 numbers are divisible by 3, so numbers divisible by 5 = 7.
So, numbers not divisible by 2, 3, 5 = 101 - (51 + 17 + 7) = 26
The correct answer is [spoiler](E)[/spoiler].
