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 andx < y , then how many different positive integer factors does 2 xyhave ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 12 , e ) 8
answer:
e


question:
Problem: two integers are in the ratio of 1 to 3 . if 10 is added to the smaller number , the ratio becomes 2 to 1 . find the larger integer . 
Options: a ) 6 , b ) 9 , c ) 10 , d ) 12 , e ) 15
answer:
a


question:
Problem: the h . c . f . of two numbers is 15 and the other two factors of their l . c . m . are 11 and 15 . the larger of the two numbers is : 
Options: a ) 225 , b ) 300 , c ) 299 , d ) 322 , e ) 345
answer:

a