Year
CAT 2024
Section
Quantitative
Topic
Set Theory
Difficulty
Hard
Question
Slot-3
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
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
72 and 80, respectively
75 and 90, respectively
72 and 88, respectively
75 and 96, respectively
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