Explore topic-wise MCQs in Discrete Mathematics.

This section includes 9 Mcqs, each offering curated multiple-choice questions to sharpen your Discrete Mathematics knowledge and support exam preparation. Choose a topic below to get started.

1.

Two groups are isomorphic if and only if __________ is existed between them.

A. homomorphism
B. endomorphism
C. isomorphism
D. association
Answer» D. association
Discussion
2.

A normal subgroup is ____________

A. a subgroup under multiplication by the elements of the group
B. an invariant under closure by the elements of that group
C. a monoid with same number of elements of the original group
D. an invariant equipped with conjugation by the elements of original group
Answer» E.
Discussion
3.

The group of matrices with determinant _________ is a subgroup of the group of invertible matrices under multiplication.

A. 2
B. 3
C. 1
D. 4
Answer» D. 4
Discussion
4.

Intersection of subgroups is a ___________

A. group
B. subgroup
C. semigroup
D. cyclic group
Answer» C. semigroup
Discussion
5.

A group of rational numbers is an example of __________

A. a subgroup of a group of integers
B. a subgroup of a group of real numbers
C. a subgroup of a group of irrational numbers
D. a subgroup of a group of complex numbers
Answer» C. a subgroup of a group of irrational numbers
Discussion
6.

__________ is not necessarily a property of a Group.

A. Commutativity
B. Existence of inverse for every element
C. Existence of Identity
D. Associativity
Answer» B. Existence of inverse for every element
Discussion
7.

Let K be a group with 8 elements. Let H be a subgroup of K and H

A. 8
B. 2
C. 3
D. 4
Answer» E.
Discussion
8.

Minimum subgroup of a group is called _____________

A. a commutative subgroup
B. a lattice
C. a trivial group
D. a monoid
Answer» D. a monoid
Discussion
9.

A trivial subgroup consists of ___________

A. Identity element
B. Coset
C. Inverse element
D. Ring
Answer» B. Coset
Discussion