Top 350+ Solved Discrete Mathematics MCQ Questions Answer
Q. Let K be a group with 8 elements. Let H be a subgroup of K and H<K. It is known that the size of H is at least 3. The size of H is
a. semigroup
b. subgroup
c. cyclic group
d. abelian group
Q. is not necessarily a property of a Group.
a. commutativity
b. existence of inverse for every element
c. existence of identity
d. associativity
Q. 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
Q. What is a circle group?
a. a subgroup complex numbers having magnitude 1 of the group of nonzero complex elements
b. a subgroup rational numbers having magnitude 2 of the group of real elements
c. a subgroup irrational numbers having magnitude 2 of the group of nonzero complex elements
d. a subgroup complex numbers having magnitude 1 of the group of whole numbers
Q. 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
Q. Two groups are isomorphic if and only if is existed between them.
a. homomorphism
b. endomorphism
c. isomorphism
d. association