Classical

Set Theory and Algebra MCQ - Sets

6:  

 The number of elements in the Power set P(S) of the set S = [ [ Φ] , 1, [ 2, 3 ]] is

A.

2

B.

4

C.

8

D.

None of these

 
 

Option: C

Explanation :


7:  

If A and B are sets and A∪ B= A  ∩ B, then

A.

A = Φ

B.

B = Φ

C.

A = B

D.

none of these

 
 

Option: C

Explanation :


8:  

 Let S be an infinite set and S1, S2, S3, ..., Sn be sets such that S1 ∪S2 ∪S3∪ .......Sn = S then

A.

atleast one of the sets Si is a finite set

B.

not more than one of the set Si can be inite

C.

atleast one of the sets Si is an ininite set

D.

none of these

 
 

Option: C

Explanation :


9:  

If X and Y are two sets, then X  ∩ (Y  ∪ X) C equals

A.

X

B.

Y

C.

Ø

D.

None of these

 
 

Option: C

Explanation :


10:  

 If  f : X -> Y and a, b  ⊆ X, then f (a  ∩ b) is equal to

A.

f(a) - f(b)

B.

f(a) ∩ f(b)

C.

a proper subset of f(a) ∩ f(b)

D.

f(b) - f(a)

 
 

Option: C

Explanation :




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