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Daily Practice Questions CAT Previous Year Questions with Answer PDF

Question for CAT Previous Year Questions - Set Theory
Try yourself:In a class of 100 students, 73 like coffee, 80 like tea and 52 like lemonade. It may be possible that some students do not like any of these three drinks. Then the difference between the maximum and minimum possible number of students who like all the three drinks is

[2022]

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Question for CAT Previous Year Questions - Set Theory
Try yourself:Students in a college have to choose at least two subjects from chemistry, mathematics and physics. The number of students choosing all three subjects is 18, choosing mathematics as one of their subjects is 23 and choosing physics as one of their subjects is 25. The smallest possible number of students who could choose chemistry as one of their subjects is

[2020]

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Question for CAT Previous Year Questions - Set Theory
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
Question for CAT Previous Year Questions - Set Theory
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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Question for CAT Previous Year Questions - Set Theory
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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Question for CAT Previous Year Questions - Set Theory
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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Question for CAT Previous Year Questions - Set Theory
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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FAQs on Daily Practice Questions CAT Previous Year Questions with Answer PDF

1. What is a set in set theory?
Ans. In set theory, a set is a collection of distinct objects, considered as an object in its own right.
2. What is the cardinality of a set?
Ans. The cardinality of a set is the number of elements in the set. It can be finite, infinite, or even empty.
3. How is a subset defined in set theory?
Ans. A set A is considered a subset of another set B if every element of set A is also an element of set B.
4. What is the difference between a set and a subset?
Ans. A set is a collection of distinct objects, while a subset is a set that contains only elements that are also in another set.
5. How is the union of two sets defined in set theory?
Ans. The union of two sets A and B is the set that contains all elements that are in either set A, set B, or both.
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