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Worksheets

Sub Sets

Total questions: 10

Worksheet time: 5mins

Name
Class
Date
1.

For a given set D, which of the following is true

a)

D is a subset of itself.

b)

Number of subsets of D are 2n2^n where n is equal to number of elements in set D.

c)

ϕ\phi is subset of D

d)

All of the above

2.

B is a set such that n(B)=4. which of the following is not true

a)

Number of subsets of B =16

b)

Number of proper subsets of B =15

c)

Number of non empty proper sub sets of B =14

d)

none of the above

3.

A={x, y, z, w }. Which of the following is not true.

a)

{y} A\left\{y\right\}\ \in A

b)

xAx\in A

c)

{w}A\left\{w\right\}\subset A

d)

ϕA\phi\subset A

4.

If B= {2,4,6} then Power set of B i.e. P(B)=

a)

P(B) = {2,4,6,(2,4),(2,6), (4,6),(2,4,6), ϕ\phi }

b)

P(B) = {{2},{4},{6},{2,4},{2,6}, {4,6},{2,4,6}, {ϕ}\left\{\phi\right\} }

c)

P(B) = {{2},{4},{6},{2,4},{2,6}, {4,6},{2,4,6}, ϕ\phi }

d)

none of the above

5.

A={m,n ,p} and P(A) is power set of A. Which of the following is true?

a)

{m}A\left\{m\right\}\in A

b)

nAn\subset A

c)

{p} A\left\{p\right\}\ \subset A

d)

{ϕ}A\left\{\phi\right\}\subset A

6.

A = {3,5,7,9} and P(A) is power set of A. Which of the following is false?

a)

3A3\in A

b)

{5}P(A)\left\{5\right\}\in P\left(A\right)

c)

{9} A\left\{9\right\}\ \subset A

d)

ϕA\phi\in A

7.

A = {3,5,7,9} and P(A) is power set of A. Which of the following is false?

a)

ϕA\phi\subset A

b)

ϕP(A)\phi\in P\left(A\right)\in

c)

ϕA\phi\in A

d)

ϕP(A)\phi\subset P\left(A\right)

8.

A = {x: x is a letter of the word BELLOW}

B ={x: x is a letter of the word ELBOW} then

a)

A is a proper sub set of B

b)

ABA\ne B

c)

B is a proper subset of A

d)

A is a subset of B

9.

Which of the following is true?

a)

{x,y,z}{x,y,z}\left\{x,y,z\right\}\subset\left\{x,y,z\right\}

b)

{x,y,z}{x,y,z}\left\{x,y,z\right\}\not\subseteq\left\{x,y,z\right\}

c)

{x,y.z}{x,y,z}\left\{x,y.z\right\}\subseteq\left\{x,y,z\right\}

d)

None of these

10.

Which of the following is not true ?

a)

 ϕ{ϕ }\phi\in\left\{\phi\ \right\}  

b)

 ϕ{ϕ }\phi\subset\left\{\phi\ \right\}  

c)

 {ϕ }{ϕ }\left\{\phi\ \right\}\subseteq\left\{\phi\ \right\}  

d)

 n({ϕ})=0n\left(\left\{\phi\right\}\right)=0