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

[EX Q]: Problem: the h . c . f of two numbers is 23 and the other two factors of their l . c . m are 11 and 12 . the larger of the two numbers is : 
Options: a ) 338 , b ) 276 , c ) 322 , d ) 231 , e ) 121
[EX A]: b

[EX Q]: Problem: of the diplomats who attended a summit conference : 20 spoke french , 32 did not speak english and 20 % of the diplomats spoke neither french nor english . if 10 % of the diplomats spoke both french and english , then how many diplomats attended the conference ? 
Options: a ) 70 , b ) 96 , c ) 108 , d ) 120 , e ) 150
[EX A]: d

[EX Q]: Problem: in a certain town , the ratio of ny yankees fans to ny mets fans is 2 : 1 , and the ratio of ny mets fans to boston red sox fans is 3 : 7 . if there are 320 baseball fans in the town , each of whom is a fan of exactly one of those three teams , how many ny mets fans are there in this town ? 
Options: a ) 48 , b ) 52 , c ) 56 , d ) 60 , e ) 64
[EX A]:
d