Discrete Mathematics MCQs | Page - 13

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Q. Intersection of subgroups is a

(A) group
(B) subgroup
(C) semigroup
(D) cyclic group
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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
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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
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Q. Two groups are isomorphic if and only if                      is existed between them.

(A) homomorphism
(B) endomorphism
(C) isomorphism
(D) association
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Q. 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}
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Q. he set of positive integers is _________ .

(A) infinite
(B) finite
(C) subset
(D) empty
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Q. If p ˄ q is T, then

(A) p is t, q is t
(B) p is f, q is t
(C) p is f, q is f
(D) p is t, q is f
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Q. If p →q is F, then

(A) p is t, q is t
(B) p is f, q is t
(C) p is f, q is f
(D) p is t, q is f
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Q. The statement from ∼ (p ˄ q) is logically equivalent to

(A) ∼ p ˅ ∼ q
(B) ∼ p ˅ qc
(C) p ˅ ∼ q
(D) ∼ p ˄∼ q
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Q. p → p is logically equivalent to

(A) p
(B) tautology
(C) contradiction
(D) none of these
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