 
			 
			MCQOPTIONS
 Saved Bookmarks
				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. | Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this? | 
| A. | odd | 
| B. | even | 
| C. | acyclic | 
| D. | prime | 
| Answer» C. acyclic | |
| 2. | Let M be an 4×4 matrix with real entries such that Mk=0, for some k≥1. Find the determinant value of (I+M), where, I be the 4 x 4 identity matrix. | 
| A. | 72 | 
| B. | 1 | 
| C. | 4 | 
| D. | 36 | 
| Answer» C. 4 | |
| 3. | If 54th row of a 67th row matrix is linearly independent with each other then find the rank of the matrix. | 
| A. | 61 | 
| B. | 54 | 
| C. | 187 | 
| D. | 32 | 
| Answer» C. 187 | |
| 4. | If Y98 (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y97. | 
| A. | I+Y | 
| B. | -Y+3 | 
| C. | 0 | 
| D. | Y2 | 
| Answer» D. Y2 | |
| 5. | Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________ | 
| A. | idempotent | 
| B. | singular | 
| C. | nilpotent | 
| D. | inverse | 
| Answer» C. nilpotent | |
| 6. | Let X be a n-square matrix such that Y = X + 8I. Which of the following property will exist? | 
| A. | idempotent | 
| B. | Y transpose is nilpotent | 
| C. | X nilpotent | 
| D. | Y inverse | 
| Answer» C. X nilpotent | |
| 7. | Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________ | 
| A. | -(x+4) | 
| B. | (x2+6) | 
| C. | (x+y)/5 | 
| D. | (3y+4x2) | 
| Answer» B. (x2+6) | |
| 8. | The dihedral group having order 6 can have degree _____________ | 
| A. | 3 | 
| B. | 26 | 
| C. | 326 | 
| D. | 208 | 
| Answer» B. 26 | |
| 9. | Suppose Km={P∈Sm|, |P| is odd prime}. Determine the set for which m≥3 Km a subgroup of Sm. | 
| A. | {3, 5, 7, 11, 13, …} | 
| B. | {-14, -8, -3, 0, 3, 8, 14} | 
| C. | {2, 4, 6, 8, 10, 12} | 
| D. | {12, 25, 56, 78, 134,…} | 
| Answer» B. {-14, -8, -3, 0, 3, 8, 14} | |
| 10. | Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________ | 
| A. | odd prime | 
| B. | even prime | 
| C. | rational number | 
| D. | negative prime | 
| Answer» B. even prime | |