PS prob

[shikh]

How many integers between 100 and 150, inclusive, cannot be evenly divided by 3 nor 5?

A.35
B.27
C.25
D.26
E.28
im getting
D.. but the answer is B

[shankar.ashwin]

First thing there are 51 integers between 100 and 150 inclusive

There are 17 numbers divisible by 3 and 11 divisible by 5.

But there are few commons, (105,120,135 and 150) - 4

So subtract these 4 numbers, (17+11) - 4 = 24 numbers divisible by 5 or 3.

So not divisible by 5 or 3 = 51-24 = 27 B IMO

[GMATGuruNY]

I posted a solution here:

https://www.beatthegmat.com/how-many-int ... 88553.html