Set Theory and Algebra MCQ - Sets

96:  

When A = {1, 2, 3, 4, 5} and r deined on A by xry if x + 1 = y, then r3 is

A.

{(1, 3) (2, 4)}

B.

{(1, 3) (2, 5)}

C.

{(1, 4) (2, 5)}

D.

{(1, 4) (4, 5)}

 
 

Option: C

Explanation :

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97:  

If A = {x I -1 < x < 1} = B, then function f(x) = x/2 from A to B is

A.

injective

B.

surjective

C.

both injective and surjective

D.

neither injective nor surjective

 
 

Option: A

Explanation :

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98:  

∪ B is NOT equivalent to

A. 1969
B. 1969
C. 1969
D. 1969
 
 

Option: D

Explanation :

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99:  

How many students know at least two languages?

A.

135

B.

30

C.

10

D.

45

 
 

Option: D

Explanation :

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100:  

Common Data for Q. 54-55.

Let A = {1, 2, 3, 4} and B = {0, 1, -1, 2} and several sets of ordered pairs be specified as :

I. {(1, 0), (2, 1), (3, -1), (4, 2)}

II. {(1, 0), (2, -1), (3, 2)}

III. {(4, 1), (3, 2), (2, 3), (1, 4)}

IV. {(2, 1), (3, 0), (1, - 1), (3, 1), (4, 2)}

V. {(2, 0), (1, -1), (3, 2) (4, 1)}
 Which ofthe sets of ordered pairs are graphs of a function from A → B ?

 Which of the sets of ordered pairs are graphs of a function 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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