instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: if x and y are both odd prime numbers and x < y , how many distinct positive integer q factors does 2 xy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
answer:
d


question:
Problem: if w is the set of all the integers between 35 and 64 , inclusive , that are either multiples of 3 or multiples of 2 or multiples of both , then w contains how many numbers ? 
Options: a ) 18 , b ) 19 , c ) 61 , d ) 31 , e ) 11
answer:
b


question:
Problem: two numbers are in the ratio 3 : 5 . if 9 be subtracted from each , they are in the ratio of 9 : 17 . the first number ? 
Options: a ) 36 , b ) 86 , c ) 27 , d ) 86 , e ) 27
answer:

a