IPMAT Indore 2021 (SA) - In a class, 60% and 68% of students passed their Physics and Mathematics examinations respectively. Then at least ________ percentage of students passed both their Physics and Mathematics examinations. | PYQs + Solutions | AfterBoards
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IPMAT Indore 2021

Modern Math
>
Set Theory

Easy

In a class, 60% and 68% of students passed their Physics and Mathematics examinations respectively. Then at least ________ percentage of students passed both their Physics and Mathematics examinations.

Entered answer:

Correct Answer: 28
The minimum number of students who passed Math and Physics occurs when the overlap between the two areas in the Venn diagram, representing Math and Physics, is minimized.
By analyzing the given information in a Venn diagram, we observe: \newline
Since we are working with percentages, the total for both subjects must equal 100%100\%, meaning all sections of the Venn diagram should sum up to 100%100\%.
∴60−x+x+68−x=100\therefore 60-x+x+68-x=100
⇒128−x=100\Rightarrow 128-x=100
⇒x=28\Rightarrow x=28
Hence 2828 is the minimum percentage of students that passed in both the subjects.

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