Section: Mathematics
17)
How many integers between 100 and 150, inclusive, cannot be evenly divided by 3 nor 5?
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Explanation
The numbers that are divisible by 3 or 5 between 100 and 150 inclusive are:
100, 102, 105, 108, 110, 111, 114, 115, 117, 120, 123, 125, 126, 129, 130, 132, 135, 138, 140, 141, 144, 145, 147 and 150.
These are 24. The total numbers between 100 and 150 (inclusive) is 51.
Thus, the answer is 51 - 24 which is 27.