Set Theory and Algebra MCQ - Sets

131:  

f : R  R is a function defined by f(x) = 10x - 7.
If g =f-¹, then g(x) =

A. 2003
B. 2003
C. 2003
D. 2003
 
 

Option: C

Explanation :

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132:  

Assume R and S are (non empty) relations in a set A. Which of the following given relations is FALSE ?

A.

If R and S are transitive, then R  S is transitive

B.

If R and S are transitive, then R  S is transitive

C.

If R and S are symmetric, then R  S is symmetric

D.

If R and S are reflexive, then R  S is reflexive

 
 

Option: A

Explanation :

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133:  

With respect to the relation 'x divides y', which of the following sets are totally ordered ?
I. {36, 3, 9}
II. {7, 77, 11}
III. {3,6, 24,12}
IV. {1, 2, 3,……}

A.

I, II and III only

B.

II and III only

C.

I and III only

D.

All of these

 
 

Option: C

Explanation :

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134:  

To have inverse for the function f, f is

A.

one one

B.

onto

C.

one one onto

D.

identity function

 
 

Option: B

Explanation :

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135:  

In a group of 72 students, 47 have background is Electronics, 59 have background in Mathematics and 42 have background in both the subjects. How many students do not have background in any of the, subjects ?

A.

8

B.

13

C.

25

D.

34

 
 

Option: A

Explanation :

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