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

Example Input: Problem: in township k , 1 / 4 of the housing units are equiped with cable tv . if 1 / 10 of the housing units , including 1 / 3 of those that are equiped with cable tv , are equipped with videocassette recorders , what fraction of the housing units have neither cable tv nor videocassette recorders ? 
Options: a ) 23 / 30 , b ) 11 / 15 , c ) 7 / 10 , d ) 1 / 6 , e ) 2 / 15
Example Output: b

Example Input: Problem: in a sports club with 30 members , 17 play badminton and 18 play tennis and 2 do not play either . how many members play both badminton and tennis ? 
Options: a ) 7 , b ) 8 , c ) 9 , d ) 10 , e ) 11
Example Output: a

Example Input: Problem: two integers are in the ratio of 1 to 4 . if 6 is added to the smaller number , the ratio becomes 1 to 3 . find the larger integer . 
Options: a ) 4 , b ) 24 , c ) 30 , d ) 72 , e ) 80
Example Output:
d