GATE ME 2020 Set 2 — Question 10
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General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
The two pie-charts given below show the data of total students and only girls registered in different streams in a university. If the total number of students registered in the university is 5000, and the total number of the registered girls is 1500; then, the ratio of boys enrolled in Arts to the girls enrolled in Management is ________.
Correct answer
(D) 22: 9
Solution
Given:
Total number of students () = 5000
Total number of girls () = 1500From the first pie chart (Percentage of students enrolled in different streams):
Percentage of students in Arts =
Number of students in Arts = From the second pie chart (Percentage of girls enrolled in different streams):
Percentage of girls in Arts =
Number of girls in Arts = Number of boys in Arts = (Total students in Arts) (Girls in Arts) = Percentage of girls in Management =
Number of girls in Management = The ratio of boys enrolled in Arts to the girls enrolled in Management is:
Ratio =
Dividing both numerator and denominator by 25:
Ratio = Thus, the ratio is , which corresponds to option (D).
Total number of students () = 5000
Total number of girls () = 1500From the first pie chart (Percentage of students enrolled in different streams):
Percentage of students in Arts =
Number of students in Arts = From the second pie chart (Percentage of girls enrolled in different streams):
Percentage of girls in Arts =
Number of girls in Arts = Number of boys in Arts = (Total students in Arts) (Girls in Arts) = Percentage of girls in Management =
Number of girls in Management = The ratio of boys enrolled in Arts to the girls enrolled in Management is:
Ratio =
Dividing both numerator and denominator by 25:
Ratio = Thus, the ratio is , which corresponds to option (D).
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