CAT Previous Year Questions - Set Theory CAT Notes | EduRev

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Try yourself:A club has 256 members of whom 144 can play football, 123 can play tennis, and 132 can play cricket. Moreover, 58 members can play both football and tennis, 25 can play both cricket and tennis, while 63 can play both football and cricket. If every member can play at least one game, then the number of members who can play only tennis is

[2019]

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*Answer can only contain numeric values
Try yourself:Each of 74 students in a class studies at least one of the three subjects H, E and P. Ten students study all three subjects, while twenty study H and E, but not P. Every student who studies P also studies H or E or both. If the number of students studying H equals that studying E, then the number of students studying H is

[2018 TITA]

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Try yourself:If among 200 students, 105 like pizza and 134 like burger, then the number of students who like only burger can possibly be

[2018]

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Try yourself:For two sets A and B, let AΔB denote the set of elements which belong to A or B but not both. If P = {1, 2, 3, 4}, Q = {2, 3, 5, 6,}, R = {1, 3, 7, 8, 9}, S = {2, 4, 9, 10}, then the number of elements in (PΔQ)Δ(RΔS) is

[2018]

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Try yourself:If A = {62n - 35n - 1: n = 1,2,3,...} and B = {35(n - 1) : n = 1, 2, 3,...} then which of the following is true?

[2018]

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