EduSahara™ Worksheet

Question 1

1.

Which of the following is 'not a subset' symbol?

(i)

∈
(ii)

⊅
(iii)

⊃
(iv)

⊄
(v)

∪

Question 2

2.

Find A ∪ μ

(i)

{-9,6,0,-1,-5,8,1}
(ii)

{-1,-4,-5,2,3,0,-9}
(iii)

{8,-5,-3,-1,1,6,-9}
(iv)

{6,-9,-1,-3,7,1,8,-5}
(v)

{1,4,-9,-5,-4,2,-1,0,3}

Question 3

3.

If μ = {-3,-9,9,-8,6,-6,2,1,4,8,-1}, A = {-3,-9,9,-8,6} and B = {-6,2,-8}, find n((A ∪ B) − (A ∩ B))

(i)

8
(ii)

4
(iii)

6
(iv)

5
(v)

7

Question 4

4.

If μ = {-1,6,-6,-2,-9,0,5,-7,9,2,-3,7,-4,3,-8,4,8}, A = {-1,6,-6,-2,-9,0,5} and B = {-7,9,0,-1,2,-2}, find n(A − B)

(i)

1
(ii)

3
(iii)

6
(iv)

4
(v)

5

Question 5

5.

If A = {4,9,2,7,0,6,5} and μ = {4,9,2,7,0,6,5,1,-6,-5,-9}, find A ∩ A

(i)

{5,9,3,4,2,6,7}
(ii)

{0,5,4,2,6,9}
(iii)

{0,2,9,6,4,5,7}
(iv)

{}
(v)

{2,9,0,6,-1,4,7,5,1}

Question 6

6.

If A ⊂ B, then which of the following are true?

a)	A' = B
b)	A = B
c)	B ⊃ A
d)	A' ⊂ B
e)	B ⊂ A

(i)

{a,c}
(ii)

{b,c}
(iii)

{d,e,c}
(iv)

{c}

Question 7

7.

Which of the following is 'complement' symbol?

(i)

⊇
(ii)

⊃
(iii)

⊂
(iv)

'
(v)

∉

Question 8

8.

Which of the following are true?

a)	A ∪ A' = μ
b)	A ∪ A' = ∅
c)	A ∩ A' = A
d)	A ∩ A' = ∅
e)	A ∪ A' = A
f)	A ∩ A' = μ

(i)

{b,d,a}
(ii)

{c,d}
(iii)

{a,d}
(iv)

{b,a}
(v)

{e,f,a}

Question 9

9.

If A = {x,d,k,c,e}, which of the following are true?

a)

d
∈
A

b)

d
∉
A

c)

A
⊃
d

d)

d
⊂
A

e)

{e}
⊂
A

(i)

{a,e}
(ii)

{d,b,a}
(iii)

{c,e,a}
(iv)

{c,e}
(v)

{b,a}

Question 10

10.

Which of the following is not equal to set A = {3,8,9,7,2,6,1}?

(i)

{7,8,2,3,6,9,1}
(ii)

{2,6,3,8,9,7,1}
(iii)

{3,9,6,7,2,8,1}
(iv)

{7,2,6,9,1,3,8}
(v)

{8,4,6,1,2,3,7}

Question 11

11.

Find A ∩ A

(i)

{3,7,-9,-3,2,4}
(ii)

{-9,3,5,4,-5,7,9}
(iii)

{-9,9,3,2,-3}
(iv)

{9,-9,7,-5,3}
(v)

{2,4,-9,3,-3}

Question 12

12.

Find A ∩ ∅

(i)

{1,4}
(ii)

{0}
(iii)

{1}
(iv)

{}
(v)

{4,1,5,0}

Question 13

13.

If A = {8,1,3,0} and B = {10,5,0,9} , then A ∪ B =

(i)

{9,10,5,1,8,3}
(ii)

{5,1,0,8,11,9,3}
(iii)

{1,9,5,10,0,3}
(iv)

{9,5,0,10,1,8,3}
(v)

{0,3,10,1,9,8,11,5}

Question 14

14.

Which of the following symbols represent the set of Irrational numbers ?

(i)

R
(ii)

N
(iii)

W
(iv)

Q'
(v)

Q

Question 15

15.

Which of the following symbols represent the set of Integers ?

(i)

Q'
(ii)

N
(iii)

W
(iv)

R
(v)

Z

Question 16

16.

Which of the following is an empty set?

(i)

{}
(ii)

{∅}
(iii)

{0}
(iv)

{o}
(v)

{empty}

Question 17

17.

Which of the following is 'does not belongs to' symbol?

(i)

∪
(ii)

⊆
(iii)

⊃
(iv)

⊅
(v)

∉

Question 18

18.

Find n(B)

(i)

4
(ii)

8
(iii)

10
(iv)

7
(v)

6

Question 19

19.

Find n(A ∪ B)

(i)

11
(ii)

6
(iii)

9
(iv)

7
(v)

8

Question 20

20.

If A = {-2,6,9,8} and μ = {-2,6,9,8,5,-8,0}, find A ∩ ∅

(i)

{5}
(ii)

{3}
(iii)

{5,0}
(iv)

{0}
(v)

{}

Question 21

21.

Find (A − B) ∪ (B − A)

(i)

{-3,-2,3,5,7,6,0,2,1,-4,-8}
(ii)

{0,3,1,7,-3,2,5,6,-2,-8}
(iii)

{6,7,0,-3,-2,3,-8,2,1}
(iv)

{5,1,6,-3,2,7,-8,-2,0}
(v)

{6,0,7,1,3,-8,5,-3,-2,9}

Question 22

22.

Which of the following is a subset of set A = {-6,7,8,9,-1}?

(i)

{0,9,7,8,-6,-1}
(ii)

{∅}
(iii)

{2,7,8,-6,-1}
(iv)

{-6,9,-1,7,8}
(v)

μ

Question 23

23.

Which of the following sets are not equivalent to set {4,9}?

a)	{3}
b)	{1,7}
c)	{1,9}
d)	{4,10}
e)	{}

(i)

{c,e,a}
(ii)

{c,e}
(iii)

{b,a}
(iv)

{d,b,a}
(v)

{a,e}

Question 24

24.

Find μ

(i)

{-5,9,-12,13,-3,4,0}
(ii)

{9,-9,-5,-8,4,-7,8,0}
(iii)

{-12,9,2,1,-3,-5,4,13,0}
(iv)

{4,11,-7,0,9,-5,-8}
(v)

{-8,9,-7,8,0,-5,4}

Question 25

25.

Which of the following are overlapping sets?

(i)
{7,20,15,18}

,

{4,10,5,12,9,8,1,17}
(ii)
{7,20,15,8,18,1,17}

,

{}
(iii)
{7,20,15,8,18,1,17}

,

{4,10,5,12,9}
(iv)
{7,20,15,8,18,1,17}

,

{4,10,5,12,9,8,1,17}
(v)
{7,20,15,18}

,

{4,10,5,12,9}

Assignment Key