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Year Year-wise Result details of Students Percentage of Girls who passed Percentage of Boys who failed…

In 2020, 25 percent of the 800 boys failed, so the boys who passed number \(0.75 \times 800 = 600\). Girls passed 55 percent, so 45 percent of the 700 girls failed, that is…

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Year Year-wise Result details of Students
Percentage of Girls who passed Percentage of Boys who failed
201832%40%
201942%60%
202055%25%
202140%30%
202260%50%
202342%80%

Question: 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 question. 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?

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Answer and explanation

Correct answer A

In 2020, 25 percent of the 800 boys failed, so the boys who passed number 0.75×800=6000.75 \times 800 = 600. Girls passed 55 percent, so 45 percent of the 700 girls failed, that is 0.45×700=3150.45 \times 700 = 315. The ratio is 600:315=40:21600:315 = 40:21.

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