In this task, you need to provide the correct option for a given problem from the provided options.

[Q]: Problem: if w and y are both odd prime numbers and w < y , how many distinct positive integer factors does 2 wy have ? 
Options: a ) 3 , b ) 4 , c ) 6 , d ) 8 , e ) 12
[A]: d


[Q]: Problem: the triplicate ratio of 1 : 7 is ? 
Options: a ) 1 : 7 , b ) 1 : 8 , c ) 1 : 343 , d ) 1 : 1 , e ) 1 : 2
[A]: c


[Q]: Problem: the h . c . f . of two numbers is 42 and the other two factors of their l . c . m . are 12 and 14 . the larger of the two numbers is : 
Options: a ) 588 , b ) 642 , c ) 567 , d ) 344 , e ) 789
[A]:
a