CAT 2022 Set Theory Question (Medium)

Question

In a college consisting of 200 students, 112 students took the Maths Olympiad, 160 students took the Physics Olympiad and 128 students took the Chemistry Olympiad. If each student in the college takes at least one of the three exams, what is the minimum number of students who took all the three exam

Optima Learn · Accepted Answer

Understanding In a college of 200 students where every student takes at least one of three exams Maths 112, Physics 160, Chemistry 128 takers , the problem asks for the minimum number of students who could have taken all three exams. Analyzing Using the inclusion-exclusion principle, the minimum pos

CAT 2022 Set Theory — Previous Year Question

CAT 2022

Quantitative

Set Theory

Medium

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