Discrete Mathematics Permutation Groups Online Exam Quiz
Discrete Mathematics Permutation Groups GK Quiz. Question and Answers related to Discrete Mathematics Permutation Groups. MCQ (Multiple Choice Questions with answers about Discrete Mathematics Permutation Groups
Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________
Options
A : -(x+4)
B : (x2+6)
C : (x+y)/5
D : (3y+4x2)
Suppose Km={P?Sm|, |P| is odd prime}. Determine the set for which m?3 Km a subgroup of Sm.
Options
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,…}
The dihedral group having order 6 can have degree _____________
Options
A : 3
B : 26
C : 326
D : 208
If 54th row of a 67th row matrix is linearly independent with each other then find the rank of the matrix.
Options
A : 61
B : 54
C : 187
D : 32
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.
Options
A : 72
B : 1
C : 4
D : 36
If Y98 (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y97.
Options
A : I+Y
B : -Y+3
C : 0
D : Y2
Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________
Options
A : idempotent
B : singular
C : nilpotent
D : inverse
Let X be a n-square matrix such that Y = X + 8I. Which of the following property will exist?
Options
A : idempotent
B : Y transpose is nilpotent
C : X nilpotent
D : Y inverse
Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this?
Options
A : odd
B : even
C : acyclic
D : prime
Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________
Options
A : odd prime
B : even prime
C : rational number
D : negative prime
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