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 certain high school has 500 students . of these students , 50 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? 
Options: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470
answer:
b


question:
Problem: how many even integers from 1 to 100 ( both inclusive ) have even number of factors ? 
Options: a ) 13 , b ) 14 , c ) 5 , d ) 6 , e ) 7
answer:

c