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

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

A: d
****
Q: Problem: among 600 students , 56 % study sociology , 44 % study mathematics and 40 % study biology . if 30 % of students study both mathematics and sociology , what is the largest possible number of students who study biology but do not study either mathematics or sociology ? 
Options: a ) 30 , b ) 90 , c ) 120 , d ) 172 , e ) 180

A: e
****
Q: Problem: sachin is younger than rahul by 9 years . if the ratio of their ages is 7 : 9 , find the age of sachin 
Options: a ) 31.5 , b ) 24.5 , c ) 24.3 , d ) 24.9 , e ) 24.1

A:
a
****