GATE Electrical 2014 Set 3 | GA | Question: 9

Question

The ratio of male to female students in a college for five years is plotted in the following line graph If the number of female students in $2011$ and $2012$ is equal, what is the ratio of male students in $2012$ to male students in $2011$?

• A. $1:1$
• B. $2:1$
• C. $1.5:1$
• D. $2.5:1$

Answer 1

$\text{Ratio in 2011} = \frac{\text{Male}_{2011}}{\text{Female}_{2011}} = 1$

$\text{Ratio in 2012} = \frac{\text{Male}_{2012}}{\text{Female}_{2012}} = 1.5$

The number of female students in 2011 and 2012 is equal: $\text{Female}_{2011} = \text{Female}_{2012} = F$

$\text{Male}_{2011} = 1 \times F$

$\text{Male}_{2012} = 1.5 \times F$

So , $\text{Male}_{2012}$ :  $\text{Male}_{2011} $

$$\frac{\text{Male}_{2012}}{\text{Male}_{2011}} = \frac{1.5 \times F}{1 \times F} = 1.5 : 1$$