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 :

Click on Discuss to view users comments.

shivani said: (5:35am on Sunday 2nd March 2014)
Power set is:-{}, {{{a}, {b}}, {{{a, b}}, {c}}, {{{a, c}}, {b}, c}}, {{{a, b}, c}}
sukanto said: (3:50am on Friday 1st January 2016)
3 element sothat 2^3=8...[(A),(B),(C),(A.B),(A,C),(B,C),(),(A,B,C)]

Write your comments here:



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 :

Click on Discuss to view users comments.

Write your comments here:



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 :

Click on Discuss to view users comments.

Write your comments here:



14:  

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

A.

n

B.

2n

C.

n2

D.

2n

 
 

Option: D

Explanation :

Click on Discuss to view users comments.

Write your comments here:



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 :

Click on Discuss to view users comments.

Write your comments here: