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

Problem: if 7 and 6 are factors of 60 n , what is the minimum value of n ? 
Options: a ) 2 , b ) 3 , c ) 7 , d ) 14 , e ) 56
c

Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number p and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31
d

Problem: bucket p has thrice the capacity as bucket q . it takes 60 turns for bucket p to fill the empty drum . how many turns it will take for both the buckets p and q , having each turn together to fill the empty drum ? 
Options: a ) 30 , b ) 45 , c ) 50 , d ) 25 , e ) 60

b