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 :

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mahesh said: (1:49pm on Tuesday 23rd April 2013)
n to the power of 2 is the ansn is 3
Sakthivel said: (8:57am on Friday 19th May 2017)
If u want a set. It should have set bracket. Because in some exam they will ask twisted que.
sahil said: (6:12am on Thursday 1st February 2018)
though this is not the prresentation of set .lets consider above setdn we have its solution as:2 raise to power 3 (i.e the number of elements in given set) so its ans is 8

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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 :

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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 :

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Sakthivel said: (9:13am on Friday 19th May 2017)
Why can't we say that option a. Its also correct.

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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 :

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Usha Kiran said: (8:46pm on Monday 27th February 2017)
if X = {1,2,3} and Y = {4,5,6} then XUY = {1,2,3,4,5,6} and X intersection (XUY) ={1,2,3}therefore answer should be A.
Manzoor Ahmed said: (12:07am on Sunday 16th July 2017)
Should be option A, all the elements which are found in both X and Y U X are same as of X
Bijaya Sen Khadka said: (3:47am on Monday 12th February 2018)
(XUY) has C in its end which means complement. So the answer is not A. (XUY)C has nothing common with X so the answer is C.
Irshad said: (5:53pm on Monday 26th February 2018)
This law is called absorption law so option A

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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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