Classical

Set Theory and Algebra MCQ - Sets

1:  

Let R be a non-empty relation on a collection of sets defined by ARB if and only if A  ∩ B = Ø
Then (pick the TRUE statement) 

A.

R is relexive and transitive

B.

R is symmetric and not transitive

C.

R is an equivalence relation

D.

R is not relexive and not symmetric

 
 

Option: B

Explanation :


2:  

The binary relation S =  Φ (empty set) on set A = {1, 2,3}  is

A.

neither reflexive nor symmetric

B.

symmetric and relexive

C.

transitive and relexive

D.

transitive and symmetric

 
 

Option: D

Explanation :


3:  

Which of the following sets are null sets ?

A.

{0}

B.

ø

C.

{ }

D.

Both (b) & (c)

 
 

Option: D

Explanation :


4:  

 Number of subsets of a set of order three is

A.

3

B.

6

C.

8

D.

9

 
 

Option: C

Explanation :


5:  

"n/m" means that n is a factor of m, then the relation T is

A.

relexive and symmetric

B.

transitive and symmetric

C.

relexive, transitive and symmetric

D.

relexive, transitive and not symmetric

 
 

Option: D

Explanation :




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