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

[EX Q]: Problem: a certain car dealership sells economy cars , luxury cars , and sport utility vehicles . the ratio of economy to luxury cars is 4 : 3 . the ratio of economy cars to sport utility vehicles is 6 : 5 . what is the ratio of luxury cars to sport utility vehicles ? 
Options: a ) 9 : 10 , b ) 8 : 9 , c ) 3 : 2 , d ) 2 : 3 , e ) 1 : 2
[EX A]: a

[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: what is the greatest positive integer n such that 3 ^ n is a factor of 36 ^ 100 ? 
Options: a ) 100 , b ) 200 , c ) 300 , d ) 600 , e ) 900
[EX A]:
b