GATE CS 2015 Set 1 — Question 8
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General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
The pie chart below has the breakup of the number of students from different departments in an engineering college for the year 2012. The proportion of male to female students in each department is 5:4. There are 40 males in Electrical Engineering. What is the difference between the numbers of female students in the Civil department and the female students in the Mechanical department?
Correct answer
32 to 32
Solution
Let's break down the problem step-by-step:
1.Calculate total students in Electrical Engineering:
- Given: 40 males in Electrical Engineering.
- Male to Female ratio in each department = 5:4.
- If 5 parts (males) = 40, then 1 part = .
- Number of females in Electrical Engineering = 4 parts = .
- Total students in Electrical Engineering = Males + Females = .
- From the pie chart, Electrical Engineering represents 20% of the total students.
- If 20% of total students = 72, then 100% (total students) = students.
- From the pie chart, Civil department represents 30% of the total students.
- Total students in Civil department = .
- Male to Female ratio in Civil = 5:4. Total parts = .
- 1 part = .
- Number of females in Civil department = 4 parts = .
- From the pie chart, Mechanical department represents 10% of the total students.
- Total students in Mechanical department = .
- Male to Female ratio in Mechanical = 5:4. Total parts = .
- 1 part = .
- Number of females in Mechanical department = 4 parts = .
- Difference between female students in Civil and Mechanical departments = .
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