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.
 
 

Option: A

Explanation :

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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

 
 

Option: C

Explanation :

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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

 
 

Option: D

Explanation :

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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.
 
 

Option: A

Explanation :

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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

 
 

Option: C

Explanation :

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