How many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4? Choose the most appropriate option:
A) 27
B) 25
C) 24
D) 20
E) 22
9 prime numbers less than 28: {2, 3, 5, 7, 11, 13, 17, 19, 23}   3 odd multiples of 5: {5, 15, 25}   11 numbers which are the sum of a positive multiple of 2 and a positive multiple of 4: {6, 8, 10, 12, 14, 16, 18, 20, 22, 24, 26}   Notice, that 5 is in two sets, thus total # of integers satisfying the given conditions is  9+3+11-1= 
<gadget id="calculator"> 9+3+11-1</gadget>
<output>22</output>
22.   Answer: 22.
<result>E</result>
How many positive integers less than 27 are prime numbers, odd multiples of 5, or the sum of a positive multiple of 2 and a positive multiple of 4?