MCQOPTIONS
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MCQOPTIONS
This section includes 7 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. |
If (M, *) is a cyclic group of order 73, then number of generator of G is equal to ______ |
| A. | 89 |
| B. | 23 |
| C. | 72 |
| D. | 17 |
| Answer» D. 17 | |
| 2. |
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 | |
| 3. |
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 | |
| 4. |
If group G has 65 elements and it has two subgroups namely K and L with order 14 and 30. What can be order of K intersection L? |
| A. | 10 |
| B. | 42 |
| C. | 5 |
| D. | 35 |
| Answer» D. 35 | |
| 5. |
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 | |
| 6. |
A relation (34 × 78) × 57 = 57 × (78 × 34) can have __________ property. |
| A. | distributive |
| B. | associative |
| C. | commutative |
| D. | closure |
| Answer» C. commutative | |
| 7. |
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 | |