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?

Line graph plotting the ratio of male to female students in a college for five years: 2008 (2.5), 2009 (3.0), 2010 (2.0), 2011 (1.0), and 2012 (1.5)
Ratio of male to female students from 2008 to 2012
Choose one option
Official answer and solution
Official answer
C
From
Official GATE 2014 answer key

Solution

Read values from the line graph and apply the given condition to find the ratio of male students.

  1. Read data points from the line graph:
    The graph plots R=MaleFemaleR = \frac{\text{Male}}{\text{Female}}:

    • For 2011: R2011=M2011F2011=1.0  ⟹  M2011=1.0×F2011R_{2011} = \frac{M_{2011}}{F_{2011}} = 1.0 \implies M_{2011} = 1.0 \times F_{2011}.
    • For 2012: R2012=M2012F2012=1.5  ⟹  M2012=1.5×F2012R_{2012} = \frac{M_{2012}}{F_{2012}} = 1.5 \implies M_{2012} = 1.5 \times F_{2012}.
  2. Apply the given condition:
    The number of female students in 2011 and 2012 is equal: F2011=F2012=FF_{2011} = F_{2012} = F.

  3. Calculate the ratio:

    M2012M2011=1.5×F1.0×F=1.5=1.5:1.\frac{M_{2012}}{M_{2011}} = \frac{1.5 \times F}{1.0 \times F} = 1.5 = 1.5 : 1.

This corresponds to option C.

Final answer

C

Common trap

Inverting the ratio as M_2011 / M_2012 = 1 / 1.5 = 2:3.

The answer is the one in the official GATE answer key. The solution is this site's own explanation.

Source

Paper
GATE 2014 Computer Science and Information Technology (CS) Session 3
Question
9 of 65, printed as GA Q.9
Section
General Aptitude

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