This set of Discrete Mathematics Multiple Choice Questions & Answers (MCQs) focuses on “Sets”.
1. A __________ is an ordered collection of objects.
a) Relation
b) Function
c) Set
d) Proposition
View Answer
Explanation: By the definition of set.
2. 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}
View Answer
Explanation: Odd numbers less than 10 is {1, 3, 5, 7, 9}.
3. Power set of empty set has exactly _________ subset.
a) One
b) Two
c) Zero
d) Three
View Answer
Explanation: Power set of null set has exactly one subset which is empty set.
4. What is the Cartesian product of A = {1, 2} and B = {a, b}?
a) {(1, a), (1, b), (2, a), (b, b)}
b) {(1, 1), (2, 2), (a, a), (b, b)}
c) {(1, a), (2, a), (1, b), (2, b)}
d) {(1, 1), (a, a), (2, a), (1, b)}
View Answer
Explanation: A subset R of the Cartesian product A x B is a relation from the set A to the set B.
5. The Cartesian Product B x A is equal to the Cartesian product A x B.
a) True
b) False
View Answer
Explanation: Let A = {1, 2} and B = {a, b}. The Cartesian product A x B = {(1, a), (1, b), (2, a), (2, b)} and the Cartesian product B x A = {(a, 1), (a, 2), (b, 1), (b, 2)}. This is not equal to A x B.
6. What is the cardinality of the set of odd positive integers less than 10?
a) 10
b) 5
c) 3
d) 20
View Answer
Explanation: Set S of odd positive an odd integer less than 10 is {1, 3, 5, 7, 9}. Then, Cardinality of set S = |S| which is 5.
7. Which of the following two sets are equal?
a) A = {1, 2} and B = {1}
b) A = {1, 2} and B = {1, 2, 3}
c) A = {1, 2, 3} and B = {2, 1, 3}
d) A = {1, 2, 4} and B = {1, 2, 3}
View Answer
Explanation: Two set are equal if and only if they have the same elements.
8. The set of positive integers is _____________
a) Infinite
b) Finite
c) Subset
d) Empty
View Answer
Explanation: The set of positive integers is not finite.
9. What is the Cardinality of the Power set of the set {0, 1, 2}?
a) 8
b) 6
c) 7
d) 9
View Answer
Explanation: Power set P ({0, 1, 2}) is the set of all subsets of {0, 1, 2}. Hence, P({0, 1, 2}) = {null, {0}, {1}, {2}, {0, 1}, {0,2}, {1, 2}, {0, 1, 2}}.
10. The members of the set S = {x | x is the square of an integer and x < 100} is ________________
a) {0, 2, 4, 5, 9, 58, 49, 56, 99, 12}
b) {0, 1, 4, 9, 16, 25, 36, 49, 64, 81}
c) {1, 4, 9, 16, 25, 36, 64, 81, 85, 99}
d) {0, 1, 4, 9, 16, 25, 36, 49, 64, 121}
View Answer
Explanation: The set S consists of the square of an integer less than 10.
Sanfoundry Global Education & Learning Series – Discrete Mathematics
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