Set Theory Quiz | Set Theory Objective Type Questions and Answers

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Questions
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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