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

SOLUTION: b

PROBLEM: Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number i and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31

SOLUTION: d

PROBLEM: Problem: the ratio of numbers is 3 : 4 and their h . c . f is 3 . their l . c . m is : 
Options: a ) 12 , b ) 16 , c ) 36 , d ) 48 , e ) 98

SOLUTION:
c