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This section includes 5 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. |
Let G be a finite group with two sub groups M & N such that |M|=56 and |N|=123. Determine the value of |M N|. |
A. | 1 |
B. | 56 |
C. | 14 |
D. | 78 |
Answer» B. 56 | |
2. |
Consider the binary operations on X, a*b = a+b+4, for a, b X. It satisfies the properties of _______ |
A. | abelian group |
B. | semigroup |
C. | multiplicative group |
D. | isomorphic group |
Answer» B. semigroup | |
3. |
B1: ({0, 1, 2 .(n-1)}, xm) where xn stands for multiplication-modulo-n and B2: ({0, 1, 2 .n}, xn) where xn stands for multiplication-modulo-m are the two statements. Both B1 and B2 are considered to be __________ |
A. | groups |
B. | semigroups |
C. | subgroups |
D. | associative subgroup |
Answer» C. subgroups | |
4. |
A relation (34 78) 57 = 57 (78 34) can have __________ property. |
A. | distributive |
B. | associative |
C. | commutative |
D. | closure |
Answer» C. commutative | |
5. |
Let (A7, 7)=({1, 2, 3, 4, 5, 6}, 7) is a group. It has two sub groups X and Y. X={1, 3, 6}, Y={2, 3, 5}. What is the order of union of subgroups? |
A. | 65 |
B. | 5 |
C. | 32 |
D. | 18 |
Answer» C. 32 | |