Set Theory and Algebra MCQ - Sets

111:  

If f(x) and g(x) are defined on domains A, B respectively, then domain of f(x) + g(x) is

A.

∪ B

B.

∩ B

C.

Δ B

D.

A - B

 
 

Option: B

Explanation :

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112:  

The function f : R - {2} → R defined by f(x) = (x2 + 2x)/(x -2) is

A.

one-one and onto

B.

one-one but not onto

C.

neither one-one nor onto

D.

not one one but onto

 
 

Option: C

Explanation :

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113:  

If set S ={x I x is a student in your class} and relation x Ry ↔ x sits in the same row as y, then which of the following statements about R is TRUE?

A.

Reflexive only

B.

Transitive only

C.

Refleixve, transitvie and asymmetric

D.

Reflexive, transitive and symmetric

 
 

Option: D

Explanation :

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114:  

If set A has 3 elements and set B has 4 elements, then number of injections that can be deined from A into B is

A.

144

B.

12

C.

24

D.

64

 
 

Option: C

Explanation :

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115:  

Number ofbijective functions from set A to itself when A contains 106 elements, is

A.

106

B.

1062

C.

106 !

D.

2106

 
 

Option: C

Explanation :

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