# Set Theory and Algebra MCQ - Algebra

31:

The universal relation A x A on A is

 A. an equivalence relation B. anti-symmetric C. a partial ordering relation D. not symmetric and not anti-symmetric Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
32:

Total number of diferent partitions of a set having four elements is

 A. 16 B. 8 C. 15 D. 4 Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
33:

A partition of {1, 2, 3, 4, 5} is the family

 A. ((1, 2),(3, 4),(3, 5)) B. (φ(1, 2),(3, 4),(5)) C. {(1, 2, 3),(5)} D. {(1, 2,), (3, 4, 5)} Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
34:

110.The matrices [cos 0    -sin0]   and  [a   0]
[sin 0     cos0]            [0   b]
commute under the multiplication

 A. if a = b (or) 0 = nit, n is an integer B. always C. never D. if a cos 0 b sin 0 Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here: