instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
question:
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
answer:
b


question:
Problem: a class has a ratio of 3 : 6 : 7 of children with red hair , blonde hair and black hair respectively . if the class has 9 kids with red hair , how many kids are there with black hair ? 
Options: a ) 7 , b ) 6 , c ) 9 , d ) 21 , e ) 63
answer:
d


question:
Problem: if 85 percent of the test takers taking an old paper and pencil gmat exam answered the first question on a given math section correctly , and 65 percent of the test takers answered the second question correctly , and 5 percent of the test takers answered neither question correctly , what percent answered both correctly ? 
Options: a ) 60 % , b ) 55 % , c ) 70 % , d ) 75 % , e ) 80 %
answer:

b