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

Example Input: Problem: if log 2 = 0.3010 and log 3 = 0.4771 , the value of log 5 ( 512 ) 
Options: a ) 3.876 , b ) 2.967 , c ) 2.87 , d ) 3.912 , e ) 1.9
Example Output: a

Example Input: Problem: a certain high school has 500 students . of these students , 40 are taking music , 20 are taking art , and 10 are taking both music and art . how many students are taking neither music nor art ? 
Options: a ) 430 , b ) 440 , c ) 450 , d ) 460 , e ) 470
Example Output: c

Example Input: Problem: a number is said to be prime saturated if the product of all the different positive prime factors of e is less than the square root of e . what is the greatest two digit prime saturated integer ? 
Options: a ) 99 , b ) 98 , c ) 97 , d ) 96 , e ) 95
Example Output:
d