GATE CE 2017 Set 1 — Question 65
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General Aptitude → Quantitative Aptitude → Data Interpretation (Bar, Pie, Graphs, Tables)
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Question
The bar graph below shows the output of five carpenters over one month, each of whom made different items of furniture: chairs, tables, and beds.
Consider the following statements.
i. The number of beds made by carpenter C2 is exactly the same as the number of tables made by carpenter C3.
ii. The total number of chairs made by all carpenters is less than the total number of tables.Which one of the following is true?
i. The number of beds made by carpenter C2 is exactly the same as the number of tables made by carpenter C3.
ii. The total number of chairs made by all carpenters is less than the total number of tables.Which one of the following is true?
Correct answer
(C) Both i and ii
Solution
Let's extract the data from the stacked bar graph for each carpenter:
Statement i: Number of beds by C2 = 8. Number of tables by C3 = 8. Since , statement i is true.Statement ii:
Total chairs = .
Total tables = .
Since , statement ii is true.Both statements are true, so the correct option is (C).
| Carpenter | Chairs (Striped) | Tables (Dotted) | Beds (Checkered) | Total |
|---|---|---|---|---|
| C1 | 2 | 9 - 2 = 7 | 12 - 9 = 3 | 12 |
| C2 | 10 | 12 - 10 = 2 | 20 - 12 = 8 | 20 |
| C3 | 5 | 13 - 5 = 8 | 15 - 13 = 2 | 15 |
| C4 | 2 | 5 - 2 = 3 | 8 - 5 = 3 | 8 |
| C5 | 4 | 14 - 4 = 10 | 16 - 14 = 2 | 16 |
Total chairs = .
Total tables = .
Since , statement ii is true.Both statements are true, so the correct option is (C).
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