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

Problem: what is the prime factors ’ number of 48 ? 
Options: a ) 2 , b ) 3 , c ) 4 , d ) 5 , e ) 6
d

Problem: the ratio , by volume , of bleach ( b ) to detergent ( d ) to water in a certain solution is 2 : 40 : 100 . the solution will be altered so that the ratio of bleach to detergent is tripled while the ratio of detergent to water is halved . if the altered solution will contain 300 liters of water , how many liters of detergent will it contain ? 
Options: ['a ) 60', 'b ) 50', 'c ) 40', 'd ) 80', 'e ) 70']
a

Problem: in a sports club with 30 members , 16 play badminton and 19 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

a