Comprehension
The table given below shows the percentage of appeared and qualified candidates in a competitive examination from different institutes.
Question: 1
What percentage of the candidates from institute C has been declared qualified out of the total candidates appeared from this institute?
What percentage of the candidates from institute C has been declared qualified out of the total candidates appeared from this institute?
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To calculate the percentage of candidates who qualify, divide the number of qualified candidates by the total number of candidates who appeared, then multiply by 100.
Updated On: Mar 10, 2025
- 30%
- 25%
- 40%
- 20%
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The Correct Option is D
Solution and Explanation
The total number of candidates who appeared from institute C is:
\[
\text{Total appeared candidates} = 3600
\]
The number of qualified candidates from institute C is:
\[
\text{Qualified candidates} = 720
\]
Now, the percentage of qualified candidates out of the total candidates appeared from institute C is:
\[
\frac{720}{3600} \times 100 = 20%
\]
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Question: 2
Which institute has the highest percentage of candidates qualified with respect to those appeared?
Which institute has the highest percentage of candidates qualified with respect to those appeared?
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To determine the highest percentage of candidates qualified, calculate the percentage of qualified candidates for each institute and compare.
Updated On: Mar 10, 2025
- A
- D
- C
- E
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The Correct Option is B
Solution and Explanation
The institute with the highest percentage of qualified candidates with respect to those appeared can be calculated by comparing the percentage of qualified candidates for each institute from the given table.
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Question: 3
What is the ratio of qualified candidates from institute B to the appeared candidates from institute F?
What is the ratio of qualified candidates from institute B to the appeared candidates from institute F?
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For ratio-based questions, always calculate the quantities involved first and then form the ratio.
Updated On: Mar 10, 2025
- 1:10
- 2:11
- 3:14
- 4:17
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The Correct Option is A
Solution and Explanation
From the image, we know the number of qualified candidates from institute B is 480, and the number of appeared candidates from institute F is 4800.
Now, the ratio of qualified candidates from institute B to the appeared candidates from institute F is:
\[
\text{Ratio} = 480:4800 = 1:10
\]
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Question: 4
What is the percentage of students who qualified from institutes C and D together with respect to those who appeared from institutes C and D together?
What is the percentage of students who qualified from institutes C and D together with respect to those who appeared from institutes C and D together?
Show Hint
When calculating percentages from total and qualified candidates, sum up the quantities and then divide by the total.
Updated On: Mar 10, 2025
- 24.98%
- 30.98%
- 20.98%
- 31.98%
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The Correct Option is C
Solution and Explanation
The total number of students who qualified from institutes C and D together is 1360, and the total number of students who appeared from institutes C and D together is 6480.
To compute the percentage, we use the formula:
\[
\text{Percentage} = \frac{1360}{6480} \times 100 = 20.98%
\]
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Question: 5
What is the ratio of the qualified candidates from institutes D, E, and F together to the appeared candidates from institutes A, B, and C together?
What is the ratio of the qualified candidates from institutes D, E, and F together to the appeared candidates from institutes A, B, and C together?
Show Hint
For complex ratios, first sum the relevant quantities and then calculate the ratio.
Updated On: Mar 10, 2025
- 1:17
- 12:67
- 19:75
- 13:75
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The Correct Option is D
Solution and Explanation
The total number of qualified candidates from institutes D, E, and F is 2080, and the total number of appeared candidates from institutes A, B, and C is 12000.
Now, the ratio of qualified candidates from institutes D, E, and F to the appeared candidates from institutes A, B, and C is:
\[
\text{Ratio} = 2080 : 12000 = 13 : 75
\]
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