Set Theory and Algebra MCQ - Sets

101:  

Which of the sets of ordered pairs are onto  functions from A → B ?

A.

II and III

B.

III and IV

C.

I and V

D.

IV and V

 
 

Option: C

Explanation :

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102:  

The power set of the set S = [3, {1, 4}, 5] is

A.

{S, 3, 1, 4, {1, 3, 5}, {1, 4, 5} {3, 4}, Φ}

B.

{S, 3, {1, 4,}, 5}

C.

{S, {3}, {3, {1, 4}}, {3, 5}, Φ}

D.

None of these

 
 

Option: D

Explanation :

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103:  

How many students known French and one but not both out of English and German?

A.

135

B.

30

C.

10

D.

40

 
 

Option: B

Explanation :

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104:  

The number of distinct relexive and symmetric relations that can be deined on a 3 element set is

A.

3

B.

4

C.

6

D.

8

 
 

Option: D

Explanation :

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105:  

If I is set of positive integers and relation R is defined over the set I by xRy if xy' = yx, then R is

A.

relexive but neither symmetric nor transitive

B.

relexive and transitive but not symmetric

C.

relexive and symmetric but not transitive

D.

relexive, symmetric and transitive

 
 

Option: D

Explanation :

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