devbond wrote:
How many positive integers less than 100 are neither multiples of 2 or 3.
a)30
b)31
c)32
d)33
e)34
Numbers less than 100 that are neither multiples of 2 or 3.
Multiples of 2 = 2, 4, ... 98 - 49 numbers
Multiples of 3 = 3, 6, 9, ... 99 = 33
Multiples of 6 - 6, 12, ... 96 - 16numbers
Hence total numbers that are either multiples of 2 or 3 = 49 + 33 - 16 = 66
Hence numbers that are not multiples of 2 or 3 = 99 - 66 = 33
Correct Option: D
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