GATE CS 2015 Set 1 QGA-9 — General Aptitude

From the given pie chart, the distribution of students in different departments is:

• Electrical Engineering (EE): $20\%$
• Civil Engineering (CE): $30\%$
• Mechanical Engineering (ME): $10\%$

The ratio of male to female students in each department is $5:4$. We are given that there are $40$ male students in Electrical Engineering.

First, let us find the total number of students in the Electrical Engineering department:

Since EE represents $20\%$ of the total students, we have:

We need to find the difference between the number of female students in Civil ($30\%$) and Mechanical ($10\%$) departments:

Since $20\%$ of the total students is $72$, the difference in total students between CE and ME is exactly $72$. Since the proportion of females in any department is $\frac{4}{9}$, the difference in female students is: