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

[Q]: Problem: if both 5 ^ 2 and 3 ^ 3 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ) , what is the smallest possible positive value of n ?
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150
[A]: a

[Q]: Problem: the simple form of the ratio 5 / 8 : 3 / 2 is ?
Options: a ) 5 : 8 , b ) 5 : 5 , c ) 5 : 9 , d ) 5 : 3 , e ) 5 : 1
[A]: a

[Q]: Problem: two sacks together contained 40 kilograms of sugar . if after 1 kilogram of sugar was taken from the first sack and poured into the second the weight of the sugar in the first sack became 60 % the weight of the sugar in the second , what was the original difference in the weights of the sacks ?
Options: a ) 4 , b ) 6 , c ) 8 , d ) 10 , e ) 12
[A]:
c