MCQOPTIONS
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MCQOPTIONS
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. |
An isomorphism of Boolean algebra is defined as _______ |
| A. | order isomorphism |
| B. | unordered isomorphism |
| C. | order homomorphism |
| D. | hyper-morphism |
| Answer» B. unordered isomorphism | |
| 2. |
Suppose P(h) is a group of permutations and identity permutation(id) belongs to P(c). If ϕ(c)=c then which of the following is true? |
| A. | ϕ-1∈P(h) |
| B. | ϕ-1∈P(h) |
| C. | . If ϕ(c)=c then which of the following is true?a) ϕ-1∈P(h)b) ϕ-1∈P(h)c) ϕ-1∈P(h) |
| D. | belongs to P(c). If ϕ(c)=c then which of the following is true?a) ϕ-1∈P(h)b) ϕ-1∈P(h)c) ϕ-1∈P(h)d) ϕ-1∈P(h) |
| Answer» C. . If ϕ(c)=c then which of the following is true?a) ϕ-1∈P(h)b) ϕ-1∈P(h)c) ϕ-1∈P(h) | |
| 3. |
Invariant permutations of two functions can form __________ |
| A. | groups |
| B. | lattices |
| C. | graphs |
| D. | rings |
| Answer» B. lattices | |
| 4. |
How many indistinguishable necklaces can be made from beads of 4 colors with exactly 9 beads of each color where each necklace is of length 16? |
| A. | 76967234 |
| B. | 5652209 |
| C. | 14414400 |
| D. | 8686214 |
| Answer» D. 8686214 | |
| 5. |
Let H be a finite group. The order of Sylow p-subgroup of H for every prime factor p with multiplicity 9 is? |
| A. | p+6 |
| B. | p9 |
| C. | pp |
| D. | 3!*p2 |
| Answer» C. pp | |
| 6. |
If he 4 sides of a square are to be colored by colors. How many different colourings with 50 colours are there if two arrangements that can be obtained from each other by rotation are identical? |
| A. | 773762 |
| B. | 363563 |
| C. | 4536822 |
| D. | 1563150 |
| Answer» E. | |
| 7. |
Suppose that H be an X-set and suppose that a∼b and |Xa|=|Xb|, the which of the following is true? |
| A. | Xa is powerset of Xb |
| B. | Xa is isomorphic to Xb |
| C. | Xa is homomorphic to Xb |
| D. | Xb is the subset of Xa |
| Answer» C. Xa is homomorphic to Xb | |
| 8. |
_______ characterizes the properties of distributive lattices. |
| A. | Congruence Extension Property |
| B. | Algebraic extension property |
| C. | Poset |
| D. | Semigroup |
| Answer» C. Poset | |
| 9. |
If we take a collection of {∅, {2}, {3}, {5}} ordered by inclusion. Which of the following is true? |
| A. | isomorphic graph |
| B. | poset |
| C. | lattice |
| D. | partially ordered set |
| Answer» C. lattice | |
| 10. |
Which of the following is not an abelian group? |
| A. | semigroup |
| B. | dihedral group |
| C. | trihedral group |
| D. | polynomial group |
| Answer» C. trihedral group | |