Question : Study the given pie charts and answer the question that follows. The number of students who appeared from institute B is what percentage more than the total number of students who passed from institutes A and C?
Option 1: $16 \frac{2}{3}$%
Option 2: $15 \frac{1}{3}$%
Option 3: $14 \frac{1}{7}$%
Option 4: $7 \frac{2}{7}$%
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Correct Answer: $16 \frac{2}{3}$%
Solution : From the pie charts, The total number of students who appeared for the examination is 1800. The total number of students who passed is 1200. The angle corresponding to the students who appeared from institute B in the pie chart is 112°. Since the total angle in a circle is 360°. The number of students who appeared from institute B = $\frac{112}{360}$ × 1800 = 560 The percentage of students who passed from institute A is 22%, and from institute C is 18%. The total number of students who passed from institutes A and C = (22% + 18%) × 1200 = 480. Percentage increase = $\frac{\text{(Number of students from B - Total number of students from A and C)}}{\text{Total number of students from A and C}}$ × 100 = $\frac{(560 - 480) }{ 480}$ × 100 = $16 \frac{2}{3}$% Hence, the correct answer is $16 \frac{2}{3}$%.
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Question : Study the given pie charts and answer the question that follows. The number of students who passed from institute C exceeds the number of students who appeared from institute E is $x$. The value of $x$ lies between:
Option 1: 18 and 22
Option 2: 14 and 18
Option 3: 10 and 14
Option 4: 22 and 26
Question : Study the given pie charts and answer the question that follows. The number of students who passed the examination from institute C is what percentage of the total number of students who appeared from institutes D and E?
Option 1: 56.25%
Option 2: 54.25%
Option 3: 52.1%
Option 4: 58.3%
Question : Study the given pie charts and answer the question that follows. If the ratio of the number of boys to that of the girls who passed from Institute A is 5 : 6, and 40% of the students who passed from Institute D are boys, then the ratio of the number of boys who passed from Institute A to that of boys who passed from institute D is:
Option 1: 25 : 24
Option 2: 4 : 3
Option 3: 5 : 4
Option 4: 3 : 2
Question : Study the given pie charts and answer the question that follows. Which institute has the second highest percentage of students who passed to the students who appeared from that institute?
Option 1: C
Option 2: E
Option 3: D
Option 4: B
Question : Study the given pie charts and answer the question that follows.
The number of students who passed the examination from Institute D exceeds the number of students who appeared from Institute A is $x$. The value of $x$ lies between:
Option 1: 11 and 14
Option 2: 5 and 8
Option 3: 14 and 17
Option 4: 8 and 11
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