Question

What percentage of the students are enrolled in all the three disciplines?

• A. $3.3\%$
• B. $7.2\%$
• C. $7.2\%$
• D. $9.32\%$
• E. None of these

Answer 1

The correct option is A $3.3\%$

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 percentage $=\frac{5}{150}\times 100=3.3\%$