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