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 32 and the other two factors of their l . c . m . are 13 and 14 . the larger of the two numbers is : 
Options: a ) 448 , b ) 299 , c ) 421 , d ) 460 , e ) 365
[EX A]: a

[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: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 300 . what is their h . c . f . ? 
Options: a ) 20 , b ) 25 , c ) 30 , d ) 60 , e ) 75
[EX A]:
b