Discrete Maths MCQ - Sets

71 Number of proper subsets of a set of order three

View Explanation
Comment

Correct AnswerOption B

Rate difficulty Rate difficulty:

Easy Medium Hard

Choose a difficulty.

Cancel reply

Your email address will not be published. Required fields are marked *

Report

Name

Save my name and email in this browser for the next time I comment.

Cancel reply

Your email address will not be published. Required fields are marked *

Comment *

Name

Save my name and email in this browser for the next time I comment.

72 If A be a finite set of size n, then number of elements in the power set of A x A is

A
2^{2^n}
B
2^{n^2}
C
(2n)²
D
none of these

View Explanation
Comment

Correct AnswerOption B

Rate difficulty Rate difficulty:

Easy Medium Hard

Choose a difficulty.

Share this question

If A is a finite set with |A| = n elements, then the number of powersets of A is 2ⁿ and here we have 2 sets of A i.e. A*A i.e. A² so total elements = n² So powersets pf A*A = 2^{n^2.}

So answer is (B)

Cancel reply

Your email address will not be published. Required fields are marked *

Report

Name

Save my name and email in this browser for the next time I comment.

Cancel reply

Your email address will not be published. Required fields are marked *

Comment *

Name

Save my name and email in this browser for the next time I comment.

73 Which of the following set (s) are empty ?

A
{x : x = x}
B
{x : x ≠ x}
C
{x : x = x²}
D
{x : x ≠ x²}

View Explanation
Comment

Correct AnswerOption B

Rate difficulty Rate difficulty:

Easy Medium Hard

Choose a difficulty.

Cancel reply

Your email address will not be published. Required fields are marked *

Report

Name

Save my name and email in this browser for the next time I comment.

Cancel reply

Your email address will not be published. Required fields are marked *

Comment *

Name

Save my name and email in this browser for the next time I comment.

74 If A = {x, y}, then proper subsets of A are

A
{x},{y}
B
Ø,{x,y}
C
Ø,{x},{y}
D
None of these

View Explanation
Comment

Correct AnswerOption C

Rate difficulty Rate difficulty:

Easy Medium Hard

Choose a difficulty.

Cancel reply

Your email address will not be published. Required fields are marked *

Report

Name

Save my name and email in this browser for the next time I comment.

Cancel reply

Your email address will not be published. Required fields are marked *

Comment *

Name

Save my name and email in this browser for the next time I comment.

75 If R is an equivalence relation on a set A, then R^-1 is

A
reflexive
B
symmetric
C
transitive
D
all of these

View Explanation
Comment

Correct AnswerOption D

Rate difficulty Rate difficulty:

Easy Medium Hard

Choose a difficulty.

Cancel reply

Your email address will not be published. Required fields are marked *

Report

Name

Save my name and email in this browser for the next time I comment.

Cancel reply

Your email address will not be published. Required fields are marked *

Comment *

Name

Save my name and email in this browser for the next time I comment.

First Previous 13 14 15 16 17 Next Last