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
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Correct Answer: 5 : 4
Solution : From the pie chart, the percentage of students who passed Institute A is 22%. So, the number of students who passed Institute A = 22% of 1200 = 264 students. The ratio of boys to girls who passed from Institute A is 5 : 6. So, the number of boys who passed from Institute A = $\frac{5}{11}$ × 264 = 120 boys The percentage of students who passed Institute D is 20%. So, the number of students who passed Institute D = 20% of 1200 = 240 students Since 40% of these are boys, the number of boys who passed from Institute D = 40% of 240 = 96 boys So, the ratio of the number of boys who passed from Institute A to that from Institute D $=\frac{120}{96} = \frac{5}{4}$ Hence, the correct answer is 5 : 4.
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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: $7 \frac{2}{7}$%
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. 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 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.
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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