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CAT 2024 Set Theory — Previous Year Question

Paper

CAT 2024

Section

Quantitative

Topic

Set Theory

Difficulty

Hard

Question

CAT 2024

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

72 and 80, respectively

75 and 90, respectively

72 and 88, respectively

75 and 96, respectively

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