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Set Theory Quiz | Set Theory Objective Type Questions and Answers

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Free download in PDF Set Theory Objective Type Questions and Answers for competitive exams. These short objective type questions with answers are very important for competitive exams as well as Board exams. These short solved questions or quizzes are provided by Gkseries.
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(21) R is a relation on N given by N = {(x, y): 4x + 3y = 20}. Which of the following belongs to R?
[A] (– 4, 12)
[B] (5, 0)
[C] (3, 4)
[D] (2, 4)
Answer: (2, 4)
(22) Let X be a family of sets and R be a relation in X, defined by ‘A is disjoint from B’. Then, R is
[A] reflexive
[B] symmetric
[C] anti-symmetric
[D] transitive
Answer: symmetric

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(23) If A = { (1, 2, 3}, then the relation R = {(2, 3)} in A is
[A] Symmetric And Transitive Only
[B] Symmetric Only
[C] Transitive Only
[D] Not Transitive
Answer: Not Transitive
(24) The relation R defined on the set A = {1, 2, 3, 4, 5} by R = {(x, y) : | x2 – y2| < 16} is given by
[A] {(1, 1), (2, 1), (3, 1), (4, 1), (2, 3)}
[B] {(2, 2), (3, 2), (4, 2), (2, 4)}
[C] {(3, 3), (4, 3), (5, 4), (3, 4)}
[D] None of the above
Answer: A = {1, 2, 3} and B = {2, 1, 3}
(25) The set O of odd positive integers less than 10 can be expressed by _____________
[A] {1, 2, 3}
[B] {1, 3, 5, 7, 9}
[C] {1, 2, 5, 9}
[D] {1, 5, 7, 9, 11}
Answer: {1, 3, 5, 7, 9}
(26) What is the cardinality of the set of odd positive integers less than 10?
[A] 10
[B] 5
[C] 3
[D] 20
Answer: 5
(27) The set of positive integers is _____________
[A] Infinite
[B] Finite
[C] Subset
[D] Empty
Answer: Infinite
(28) What is the Cardinality of the Power set of the set {0, 1, 2}.
[A] 8
[B] 6
[C] 7
[D] 9
Answer: 8

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