Explore topic-wise MCQs in Discrete Mathematics.

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 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
Discussion
2.

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
Discussion
3.

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. Y<sup>2</sup>
Answer» D. Y<sup>2</sup>
Discussion
4.

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}
Discussion
5.

Consider an integer 23 such that 23 &gt;= 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
Discussion