GATE CE 2025 Set 2 — Question 5
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General Aptitude → Analytical Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
A bag contains Violet (V), Yellow (Y), Red (R), and Green (G) balls. On counting them, the following results are obtained:(i) The sum of Yellow balls and twice the number of Violet balls is 50.
(ii) The sum of Violet and Green balls is 50.
(iii) The sum of Yellow and Red balls is 50.
(iv) The sum of Violet and twice the number of Red balls is 50.Which one of the following Pie charts correctly represents the balls in the bag?
(ii) The sum of Violet and Green balls is 50.
(iii) The sum of Yellow and Red balls is 50.
(iv) The sum of Violet and twice the number of Red balls is 50.Which one of the following Pie charts correctly represents the balls in the bag?
Correct answer
(A) [figure]
Solution
Let be the number of Violet, Yellow, Red, and Green balls respectively. From the given conditions:
1)
2)
3)
4) From (4), . Substitute this into (1):
From (3), . Substitute this into the equation above:
Now find other values:
Total balls = . The percentages are:
.
This distribution is correctly represented by Pie chart (A).
1)
2)
3)
4) From (4), . Substitute this into (1):
From (3), . Substitute this into the equation above:
Now find other values:
Total balls = . The percentages are:
.
This distribution is correctly represented by Pie chart (A).
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