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

Example Input: Problem: in gabriel ' s sheep herd , every sheep has either fleas or lice or both . half of the sheep have lice , and 84 sheep have both pests . if 94 sheep have lice , how many sheep have only fleas ? 
Options: a ) 10 , b ) 20 , c ) 84 , d ) 94 , e ) 178
Example Output: a

Example Input: Problem: the monthly incomes of a and b are in the ratio 5 : 2 . b ' s monthly income is 12 % more than c ' s monthly income . if c ' s monthly income is rs . 12000 , then find the annual income of a ? 
Options: a ) rs . 420000 , b ) rs . 403200 , c ) rs . 201600 , d ) rs . 504000 , e ) none of these
Example Output: b

Example Input: Problem: the ratio of the arithmetic mean of two numbers to one of the numbers is 3 : 5 . what is the ratio of the smaller number to the larger ? 
Options: a ) 1 : 5 , b ) 1 : 4 , c ) 1 : 3 , d ) 1 : 2 , e ) 2 : 3
Example Output:
a