Comprehension : The following table shows the percentage (%) of girls who…
2025
Comprehension :
The following table shows the percentage (%) of girls who passed in an examination and the percentage (%) of boys who failed in that exam in a school during the six years from 2018 to 2023. Based on the data in the table, answer the questions that follow.
Year-wise Result details of Students
Year / वर्ष | Percentage of Girls who passed / उत्तीर्ण लड़कियों का प्रतिशत | Percentage of Boys who failed / असफल लड़कों का प्रतिशत |
|---|---|---|
2018 | 32% | 40% |
2019 | 42% | 60% |
2020 | 55% | 25% |
2021 | 40% | 30% |
2022 | 60% | 50% |
2023 | 42% | 80% |
Q. If in the year 2020, the total number of boys and the total number of girls who appeared in the exam are 800 and 700 respectively, then what is the ratio of the total number of boys who passed to the total number of girls who failed?
- A.
40 : 21
- B.
154 : 201
- C.
18 : 11
- D.
7 : 10
Attempted by 2 students.
Show answer & explanation
Correct answer: A
For the year 2020, total girls appeared = 700 and percentage passed = 55%. Therefore, percentage failed = 100% - 55% = 45%.
Number of girls failed = 45% of 700 = 0.45 * 700 = 315.
Total boys appeared = 800 and percentage failed = 25%. Therefore, percentage passed = 100% - 25% = 75%.
Number of boys passed = 75% of 800 = 0.75 * 800 = 600.
Ratio of boys passed to girls failed = 600 : 315. Simplifying by dividing both by 15 gives 40 : 21.