Question

What is the ratio of the number of boys in both Marketing and Finance to that of girls only in Finance?

• A. 5 : 3
• B. 3 : 5
• C. 5 : 4
• D. 4 : 7
• E. None of these

Answer 1

The correct option is C 5 : 4

Boys $=\frac{7}{15}\times 150=70$
Girls $=\frac{8}{15}\times 150=80$
We can get the following table from the given information in the question
$\begin{array}{ccc}& Boy& Girl\\ Marketing,n\left(M\right)& 28& 40\\ HR,n\left(M\right)& 21& 24\\ Finance,n\left(F\right)& 21& 16\\ HR+Marketing,n(H\cap M)& 7& 9\\ HR+Finance,n(H\cap F)& 6& 7\\ Marketing+Financen(M\cap F)& 5& 8\\ Marketing+Finance+HR,n(M\cap F\cap H)& 2& 3\end{array}$

Required ratio $=\frac{5}{4}$ or 5 : 4