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

Q: Problem: there are two positive numbers in the ratio 3 : 11 . if the larger number exceeds the smaller by 32 , then what is the smaller number ? 
Options: a ) 8 , b ) 11 , c ) 12 , d ) 15 , e ) 17

A: c
****
Q: Problem: a ratio between two numbers is 4 : 5 and their l . c . m . is 200 . the first number is 
Options: a ) 60 , b ) 40 , c ) 20 , d ) 15 , e ) none

A: b
****
Q: Problem: the ratio of 2 numbers is 1 : 2 and their h . c . f . is 10 . their l . c . m . is ? 
Options: a ) 10 , b ) 20 , c ) 30 , d ) 50 , e ) 40

A:
b
****