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

Q: Problem: the number of people who purchased book a is twice the number of people who purchased book b . the number of people who purchased both books a and b is 500 , which is twice the number of people who purchased only book b . what is the number of people b who purchased only book a ? 
Options: a ) 250 , b ) 500 , c ) 750 , d ) 1000 , e ) 1500

A: d
****
Q: Problem: in a graduating class of 232 students , 144 took geometry and 119 took biology . what is the difference between the greatest possible number and the smallest possible number of students that could have taken both geometry and biology ? 
Options: a ) 144 , b ) 119 , c ) 113 , d ) 88 , e ) 31

A: c
****
Q: Problem: ratio between rahul and deepak is 4 : 3 , after 22 years rahul age will be 26 years . what is deepak present age 
Options: a ) 10 , b ) 3 , c ) 5 , d ) 7 , e ) 8

A:
b
****