Classical

Set Theory and Algebra MCQ - Sets

61:  

 Let P(S) denote the power set of set S. Which of the following is always TRUE ?

A.

P(P(S)) = P(S)

B.

P(S)  ∩ S = P (S)

C.

P(S)  ∩ P(P(S))  = [ φ ]

D.

∉ P(S)

 
 

Option: C

Explanation :


62:  

If R be a symmetric and transitvie relation on a set A, then

A.

R is reflexive and hence an equivalence relation

B.

R is reflexive and hence a partial order

C.

R is not reflexive and hence not an equivalence relation

D.

None of these

 
 

Option: D

Explanation :




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