GATE EC 2021 Set 1 — Question 9
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General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
The number of minutes spent by two students, X and Y, exercising every day in a given week are shown in the bar chart above.
The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is
The number of days in the given week in which one of the students spent a minimum of 10% more than the other student, on a given day, is
Correct answer
(C) 6
Solution
To solve this, we need to compare the exercise minutes for students X and Y for each day and check if one spent at least 10% more than the other.
Let be minutes spent by X and be minutes spent by Y.
We need to find days where OR .Let's list the minutes for each day from the bar chart:
Let be minutes spent by X and be minutes spent by Y.
We need to find days where OR .Let's list the minutes for each day from the bar chart:
- Monday: X = 45, Y = 70
- Is Y 1.1 X? . Yes. (1st day)
- Tuesday: X = 65, Y = 55
- Is X 1.1 Y? . Yes. (2nd day)
- Wednesday: X = 50, Y = 60
- Is Y 1.1 X? . Yes. (3rd day)
- Thursday: X = 55, Y = 60
- Is Y 1.1 X? . No. ()
- Is X 1.1 Y? . No. ()
- So, Thursday does not meet the condition.
- Friday: X = 20, Y = 35
- Is Y 1.1 X? . Yes. (4th day)
- Saturday: X = 60, Y = 50
- Is X 1.1 Y? . Yes. (5th day)
- Sunday: X = 55, Y = 65
- Is Y 1.1 X? . Yes. (6th day)
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