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

Problem: two vessels p and q contain 62.5 % and 87.5 % of alcohol respectively . if 2 litres from vessel p is mixed with 6 litres from vessel q , the ratio of alcohol and water in the resulting mixture is ? 
Options: a ) 13 : 1 , b ) 13 : 3 , c ) 13 : 8 , d ) 13 : 5 , e ) 13 : 2
b

Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 25 ! 
Options: a ) 8 , b ) 10 , c ) 12 , d ) 14 , e ) 16
b

Problem: the ratio of type of pen and type of notebook is 5 : 4 . and in 80 ways one can start writing . tell me the no . of pen and no . of notebook . 
Options: a ) 6,12 , b ) 10,6 , c ) 10,8 , d ) 8,4 , e ) 6,8

c