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

[EX Q]: Problem: if both 5 ^ 3 and 3 ^ 4 are factors of n x ( 2 ^ 5 ) x ( 12 ^ 2 ) x ( 7 ^ 3 ) x ( 10 ^ 2 ) , what is the smallest possible positive value of n ? 
Options: a ) 15 , b ) 45 , c ) 75 , d ) 125 , e ) 150
[EX A]: b

[EX Q]: Problem: if log 1087.5 = 3.9421 , then the number of digits in ( 875 ) 10 is ? 
Options: a ) 30 , b ) 28 , c ) 27 , d ) 50 , e ) 25
[EX A]: d

[EX Q]: Problem: three numbers are in the ratio of 2 : 3 : 4 and their l . c . m . is 288 . what is their h . c . f . ? 
Options: a ) 18 , b ) 24 , c ) 36 , d ) 42 , e ) 48
[EX A]:
b