instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
Problem: the h . c . f . of two numbers is 30 and the other two factors of their l . c . m . are 25 and 24 . the larger of the two numbers is 
Options: a ) 276 , b ) 799 , c ) 712 , d ) 750 , e ) none
answer:
d


question:
Problem: the ratio of pens to pencils is 5 to 6 . there are 5 more pencils than pens . how many pencils are there ? 
Options: a ) 24 , b ) 30 , c ) 36 , d ) 42 , e ) 48
answer:
b


question:
Problem: set x consists of the integers from 1 to 12 , inclusive , while set y consists of the integers from 0 to 20 , inclusive . how many distinct integers do belong to the both sets at the same time ? 
Options: a ) 12 , b ) 15 , c ) 10 , d ) 20 , e ) 8
answer:

a