BTGmoderatorDC wrote:How many positive integers less than 28 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?
A. 27
B. 25
C. 24
D. 22
E. 20
Any even integer other than 2 and 4 can be expressed as the sum of a positive multiple of 2 and a positive multiple of 4, yielding the following options less than 28:
6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26 --> 11 options.
Prime numbers less than 28:
2, 3, 5, 7, 11, 13, 17, 19, 23 --> 9 options.
Odd multiples of 5 not yet listed:
15, 25 --> 2 options.
Total options = 11+9+2 = 22.
The correct answer is
D.
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