Permutation Groups MCQ

Test your knowledge with important Permutation Groups MCQ and their applications. These MCQs are beneficial for competitive exams too. Explore 30 + more Permutation Groups MCQs at Bissoy

• Suppose (2, 5, 8, 4) and (3, 6) are the two permutation groups that form cycles. What type of permutation is this?
  ক

  odd

  খ

  even

  গ

  acyclic

  ঘ

  prime
• 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.
  ক

  72

  খ

  1

  গ

  4

  ঘ

  36
• If 54th row of a 67th row matrix is linearly independent with each other then find the rank of the matrix.
  ক

  61

  খ

  54

  গ

  187

  ঘ

  32
• If Y98 (a raised to the power of 5) = 0 and Y is a 97-square matrix. Determine the value of Y97.
  ক

  I+Y

  খ

  -Y+3

  গ

  0

  ঘ

  Y2
• Suppose, M is a lower triangular matrix with all diagonal entries zero. The resultant matrix of M+I will be ___________
  ক

  idempotent

  খ

  singular

  গ

  nilpotent

  ঘ

  inverse
• Let (z, *) is a group with x*y=x+y-2 then inverse of x is ___________
  ক

  -(x+4)

  খ

  (x2+6)

  গ

  (x+y)/5

  ঘ

  (3y+4x2)
• The dihedral group having order 6 can have degree _____________
  ক

  3

  খ

  26

  গ

  326

  ঘ

  208
• Consider an integer 23 such that 23 >= 3p for a 2p-cycle in a permutation group, then p is ___________
  ক

  odd prime

  খ

  even prime

  গ

  rational number

  ঘ

  negative prime