

MCQOPTIONS
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This section includes 10 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. |
For any graph say G, Cayley graph is ______________ |
A. | canonial |
B. | not canonical |
C. | isomorphic |
D. | homomorphic |
Answer» C. isomorphic | |
2. |
In Modern particle physics there must exist ______________ |
A. | group theory |
B. | graph theory |
C. | lattice structure |
D. | invariant semigroup |
Answer» B. graph theory | |
3. |
In basic ring theory, any ring R1 may be embedded in its own ________ |
A. | semilattice |
B. | endomorphism ring |
C. | homomorphic ring |
D. | subgroup |
Answer» C. homomorphic ring | |
4. |
There exists _______ between group homology and group cohomology of a finite group. |
A. | homomorphism |
B. | isomorphism |
C. | automorphism |
D. | semilattice structure |
Answer» B. isomorphism | |
5. |
A Latin square graph is a representation of a _______ |
A. | quasi group |
B. | homomorphic group |
C. | semigroup |
D. | subgroup |
Answer» B. homomorphic group | |
6. |
If any group is a manifold what is the dimension of that group? |
A. | same as manifold |
B. | same as vector space |
C. | infinite |
D. | finite |
Answer» B. same as vector space | |
7. |
Which of the following is the set of m×m invertible matrices? |
A. | a permutation group of degree m2 |
B. | a general linear group of degree m |
C. | a sublattice group of degree m |
D. | a isomorphic graph of m nodes |
Answer» C. a sublattice group of degree m | |
8. |
Which of the following can be embedded in an algebraically closed group? |
A. | infinite group |
B. | stargraph |
C. | a countable group |
D. | a semilattice |
Answer» D. a semilattice | |
9. |
In invariant algebra, some generators of group G1 that goes either into itself or zero under ______ with any other element of the algebra. |
A. | commutation |
B. | permutation |
C. | combination |
D. | lattice |
Answer» B. permutation | |
10. |
A direct product of a group G possess which of the following characteristics? |
A. | a multiplication of subgroups of G |
B. | a factorization via subgroups of G |
C. | a superset of subgroups of G |
D. | a maximal power set of subgroups |
Answer» C. a superset of subgroups of G | |