# Set Theory and Algebra MCQ - Sets

76:

For any two subsets X and Y of a set A, define X o Y = (Xc  ∩Y)  ∪ (X ∩YC). Then for any three subsets X, Y, Z of the set A is

X o ( Y o Z ) = ( X o Y ) o Z

 A. True B. False C. D. Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
77:

If relation R is defined on N by R = ((a, b): a divides b; a, b ∈N). Then R is

 A. relexive B. symmetric C. transitive D. none of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here:
78:

Relation R is defined on the set N as f(a,b): a, b are both odd), is

 A. relexive B. symmetric C. transitive D. none of these Answer Report Discuss Option: D Explanation : Click on Discuss to view users comments. Write your comments here:
79:

If P, Q, R are subsets of a set A, then R x (Pc ∪Qc)c = (R x P) ∩(R x Q)

 A. True B. False C. D. Answer Report Discuss Option: A Explanation : Click on Discuss to view users comments. Write your comments here:
80:

Relation R defined on the set A = {1, 2, 3, 4}, by R = {(1, 1), (2, 2) (3, 3)} is

 A. relexive B. symmetric C. transitive D. none of these Answer Report Discuss Option: C Explanation : Click on Discuss to view users comments. Write your comments here: