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
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shankar.ashwin
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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
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
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As a tutor, I don't simply teach you how I would approach problems.
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