GMAT Problem Solving Question 30: Triple Venn Diagram

 
Try the following GMAT Problem Solving question that tests your understanding of how to set up problems best solved using triple Venn diagrams.

Question 30:

Of $28$ students taking at least one subject, the number taking Mathematics and English only equals the number taking Mathematics only. No student takes English only or History only, and six students take Mathematics and History, but no English. The number taking English and History only is five times the number taking all three subjects. If the number taking all three subjects is even and non-zero, the number taking English and Mathematics only is:

1. $\quad 5$
2. $\quad 6$
3. $\quad 7$
4. $\quad 8$
5. $\quad 9$