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

[EX Q]: Problem: the l . c . m . of two numbers is 54 . the numbers are in the ratio 2 : 3 . then sum of the number is :
Options: a ) 28 , b ) 32 , c ) 40 , d ) 45 , e ) 54
[EX A]: d

[EX Q]: Problem: a certain high school has 500 students . of these students , 40 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
[EX A]: c

[EX Q]: Problem: john distributes his pencil among his 4 friends rose , mary , ranjan , and rohit in the ratio 1 / 2 : 1 / 3 : 1 / 3 : 1 / 5 . what is the minimum no . of pencils that the person should have ?
Options: a ) 41 , b ) 65 , c ) 70 , d ) 77 , e ) 98
[EX A]:
a