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Question :

In a group of 250 students, the percentage of girls was at least 44% and at most 60%.The rest of the
students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80%
of the girls opted for swimming while 70%of the boys and 60% of the girls opted for running, then the
minimum and maximum possible number of students who opted for both swimming and running, are

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Option C is the correct answer.

Explanatory Answer

Here, with respect to boys
Swimming + Running = 50% + 70% = 120%
The extra 20% is meant for the boys who opted both swimming and running.
Similarly, with respect to girls
Swimming + Running = 80% + 60% = 140%
The extra 40% is meant for the boys who opted both swimming and running.
In pictorial representation:

So, percentage of people who opted for both swimming and running = 20% boys + 40% girls


The question is "In a group of 250 students, the percentage of girls was at least 44% and at most 60%. The rest of the students were boys. Each student opted for either swimming or running or both. If 50% of the boys and 80% of the girls opted for swimming while 70% of the boys and 60% of the girls opted for running, then the minimum and maximum possible number of students who opted for both swimming and running, are"

Hence, the answer is '72 and 80, respectively'
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