

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. |
A group G of order 20 is __________ |
A. | solvable |
B. | unsolvable |
C. | 1 |
D. | not determined |
Answer» B. unsolvable | |
2. |
An element of a commutative ring R(1≠0) is nilpotent if __________ |
A. | a+1=0 |
B. | an = 0, for some positive integer n |
C. | an = 1, for some integer n |
D. | a2 = 0 |
Answer» C. an = 1, for some integer n | |
3. |
All the rings of order p2 is ____________ |
A. | associative |
B. | cyclic |
C. | inverse |
D. | commutative |
Answer» E. | |
4. |
The Number of Elements Satisfying g7=e in a finite Group F is ______ |
A. | even |
B. | not a number |
C. | odd |
D. | rational |
Answer» D. rational | |
5. |
The order of a simple abelian group is __________ |
A. | infinite |
B. | real number |
C. | finite |
D. | prime |
Answer» B. real number | |
6. |
The number of generators of cyclic group of order 219 is __________ |
A. | 144 |
B. | 124 |
C. | 56 |
D. | 218 |
Answer» B. 124 | |
7. |
A finite group G of order 219 is __________ |
A. | a semigroup |
B. | a subgroup |
C. | a commutative inverse |
D. | a cyclic group |
Answer» E. | |
8. |
What is an irreducible module? |
A. | A cyclic module in a ring with any non-zero element as its generator |
B. | A cyclic module in a ring with any positive integer as its generator |
C. | An acyclic module in a ring with rational elements as its generator |
D. | A linearly independent module in a semigroup with a set of real numbers |
Answer» B. A cyclic module in a ring with any positive integer as its generator | |
9. |
Every cyclic group is a/an ______ |
A. | infinite subgroup |
B. | abelian group |
C. | monoid |
D. | commutative semigroup |
Answer» C. monoid | |
10. |
An infinite cyclic group does not have a ______ series. |
A. | AP |
B. | GP |
C. | Composite |
D. | Finite |
Answer» D. Finite | |