Classical

Set Theory and Algebra MCQ - Sets

11:  

 The number of elements in the power set of the set {{a, b}, c} is

A.

8

B.

4

C.

3

D.

7

 
 

Option: B

Explanation :


12:  

 If R = ((1, 1), (3, 1), (2, 3), (4, 2)), then which of the following represents R2, where R2 is R composite R?

A.

((1, 1), (3, 1), (2, 3), (4, 2))

B.

f(1, 1), (9, 1), (4, 9), (16, 4))

C.

1(1, 3), (3, 3), (3, 4), (3, 2))

D.

((1, 1), (2, 1), (4, 3), (3, 1))

 
 

Option: D

Explanation :


13:  

In a room containing 28 people, there are 18 people who speak English, 15 people who speak Hindi and 22 people who speak Kannada, 9 persons speak both English and Hindi, 11 persons speak both Hindi and Kannada where as 13 persosn speak both Kannada and English. How many people speak all the three languages ?

A.

6

B.

7

C.

8

D.

9

 
 

Option: A

Explanation :


14:  

Order of the power set of a set of order n is

A.

n

B.

2n

C.

n2

D.

2n

 
 

Option: D

Explanation :


15:  

If f : R ---->R defined by f(x) = x2 + 1, then values of f -1 (17) and  f -1(-3) are respectively

A.

{Ø}, (4, - 4)

B.

{3,-3},{Ø}

C.

{Ø},{3,-3}

D.

{4,-4},Ø

 
 

Option: D

Explanation :




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