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 30 and the other two factors of their l . c . m . are 25 and 24 . the larger of the two numbers is 
Options: a ) 276 , b ) 799 , c ) 712 , d ) 750 , e ) none
[EX A]: d

[EX Q]: Problem: how many zeros does 1000 ! end with ? 
Options: a ) 20 o , b ) 24 o , c ) 249 , d ) 30 o , e ) 325
[EX A]: c

[EX Q]: Problem: if m = 3 ^ n , what is the greatest value of n for which m is a factor of 22 ! 
Options: a ) 8 , b ) 10 , c ) 9 , d ) 14 , e ) 16
[EX A]:
c