instruction:
In this task, you need to provide the correct option for a given problem from the provided options.
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: in 50 l can , milk and water in the ratio of 3 : 1 . if the ratio has made 1 : 3 then the quantity of water that has to be added further is ? 
Options: a ) 100 , b ) 120 , c ) 90 , d ) 80 , e ) 70
answer:
a


question:
Problem: integer m has 4 different prime factors and n has 3 different prime factors . if m and n has the greatest common factor of 15 , how many different prime factors does mn have ? 
Options: a ) 4 , b ) 5 , c ) 6 , d ) 7 , e ) 8
answer:

b