EduSahara™ Worksheet

Question 1

1.

If A = {8,2,1,3,6}, which of the following are true?

a)

8
⊂
A

b)

{6,2}
⊂
A

c)

8
∉
A

d)

A
⊃
8

e)

8
∈
A

(i)

{b,e}
(ii)

{d,a,b}
(iii)

{c,e}
(iv)

{c,e,b}
(v)

{a,b}

Question 2

2.

If A and B are disjoint sets, which of the following are true?

a)	A ∩ B= ∅
b)	A ∪ B = A
c)	B ⊂ A
d)	A ∩ B = A
e)	A ⊂ B

(i)

{a}
(ii)

{c,a}
(iii)

{d,e,a}
(iv)

{b,a}

Question 3

3.

If A = {j,z,y,d,x}, which of the following are true?

a)

z
∈
A

b)

z
∉
A

c)

z
⊂
A

d)

{x,j}
⊂
A

e)

A
⊃
z

(i)

{a,d}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{c,d,a}
(v)

{e,b,a}

Question 4

4.

Given sets A, B and C, where A ⊂ B ⊂ C, which of the following are true?

a)	B ⊂ A
b)	C ⊂ A
c)	C ⊃ B
d)	∅ ⊂ B
e)	B ⊃ A

(i)

{a,c,d}
(ii)

{c,d,e}
(iii)

{a,c}
(iv)

{a,b,e}
(v)

{b,d}

Question 5

5.

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

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

(i)

{c,d,e}
(ii)

{b,e}
(iii)

{e}
(iv)

{a,e}

Question 6

6.

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

a)	A ∪ B = A
b)	A ∪ B = B
c)	A ∩ B = A
d)	A ∪ B = ∅
e)	A ∩ B = B

(i)

{d,c,b}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{b,c}
(v)

{d,c}

Question 7

7.

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

a)	A ∪ B = ∅
b)	B − A = A
c)	A − B = B
d)	B − A = B
e)	A − B = ∅

(i)

{a,e}
(ii)

{c,d,e}
(iii)

{b,e}
(iv)

{e}

Question 8

8.

D =
{19,15,11,17,18,16,12}
and E =
{5,7,1,9,3,10,8,6,2,4}
,

which of the following are true?

a)	A ↔ C
b)	C = D
c)	A = B
d)	A ⊂ C
e)	C ↔ D

(i)

{c,e}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{b,e}
(v)

{b,e,c}

Question 9

9.

Which of the following is 'subset' symbol?

(i)

↔
(ii)

⊅
(iii)

⊂
(iv)

∪
(v)

⊄

Question 10

10.

Which of the following is 'subset or equal to' symbol?

(i)

⊅
(ii)

⊆
(iii)

∉
(iv)

↔
(v)

⊃

Question 11

11.

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

(i)

∈
(ii)

⊄
(iii)

↔
(iv)

⊇
(v)

∪

Question 12

12.

Which of the following is 'superset' symbol?

(i)

∉
(ii)

⊅
(iii)

⊄
(iv)

⊃
(v)

⊇

Question 13

13.

Which of the following is 'superset or equal to' symbol?

(i)

⊆
(ii)

∩
(iii)

⊇
(iv)

∉
(v)

⊂

Question 14

14.

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

(i)

⊂
(ii)

⊅
(iii)

⊆
(iv)

∈
(v)

⊃

Question 15

15.

Which of the following is 'universal set' symbol?

(i)

μ
(ii)

⊆
(iii)

⊄
(iv)

∩
(v)

⊃

Question 16

16.

Which of the following is a subset of set A = {6,5,-8,7,3}?

(i)

{6,7,4,5,-8}
(ii)

μ
(iii)

{∅}
(iv)

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

{-8,6,5,7,3}

Question 17

17.

Which of the following is a subset of set A = {-2,9,5,8,-1}?

(i)

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

{5,-9,-1,8,-2,9}
(iii)

μ
(iv)

∅
(v)

{∅}

Question 18

18.

Which of the following is a proper subset of A = {0,4,3}?

(i)

{4,0}
(ii)

{2,0,3}
(iii)

{3,5}
(iv)

{4,1}
(v)

{0,4,3}

Question 19

19.

Find the number of proper subsets of A = {5,1,0,2,4,3}

(i)

66
(ii)

61
(iii)

64
(iv)

62
(v)

63

Question 20

20.

Which of the following is not a subset of A = {0,5,3,9,8,2}?

(i)

{0,9,2,5}
(ii)

{8,0,2,9,6}
(iii)

{3,9,5,2,8}
(iv)

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

{0,5,3,9,8,2}

Question 21

21.

Which of the following is superset of A = {0,5,3,9,7,6,4}?

(i)

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

{4,0,1,9,5,3,6}
(iii)

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

{9,4,7,5,3}
(v)

{3,7,9,0,5,8,4,6}

Question 22

22.

Which of the following is not a superset of A = {2,4,8,3,9,1,0}?

(i)

{6,2,0,3,8,9,1}
(ii)

{3,8,0,1,9,5,2,4}
(iii)

{8,3,0,2,9,4,6,1}
(iv)

{3,7,1,4,8,2,9,0}
(v)

{0,3,4,1,9,2,8}

Question 23

23.

Which of the following diagrams represent 'A is subset of B'?

(i)

figure 4
(ii)

figure 3
(iii)

None of the above
(iv)

figure 2
(v)

figure 1

Question 24

24.

Which of the following is a subset of A = {4,3,0}?

(i)

{4,2}
(ii)

{0,4,1}
(iii)

{5,1,2}
(iv)

{5,4,2}
(v)

{4}

Question 25

25.

Which of the following is a subset of A = {1,0,4,10,3}?

(i)

{0,4}
(ii)

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

{7,0,4}
(iv)

{3,1,4,7,10}
(v)

{7,6,2}

Question 26

26.

Which of the following is a subset of A = {4,1,14,15,10,5,0,12}?

(i)

{12,5,0,14,15}
(ii)

{10,7,4,5,14,15,0,1}
(iii)

{6,3,7}
(iv)

{15,0,12,7,5,14}
(v)

{0,3,15,7,5,12,14}

Question 27

27.

Find μ

(i)

{7,6,-3,-9,2,-5,-1,-6,-2,13}
(ii)

{-9,3,-6,-3,7,9,2,-5,-1,-2,6}
(iii)

{-6,-5,-8,13,7,-3,8,-1,2,-2}
(iv)

{-2,-5,-9,6,-6,-3,-1,2,9,7}
(v)

{8,13,-2,-3,7,2,0,5,-1,-6,-5,-8}

Question 28

28.

Find A ∪ μ

(i)

{6,-1,-5,-2,-9,-6}
(ii)

{0,-1,6,-14,-6,-4,-5,5}
(iii)

{}
(iv)

{-5,6,-1,-6,-4,-14}
(v)

{-6,-9,-2,5,-1,-5,6}

Question 29

29.

Find A ∩ μ

(i)

{-1,-2,9,7}
(ii)

{7,-1,-2,5,9,3}
(iii)

{-1,3,-2,7}
(iv)

{-2,8,7,-3,3}
(v)

{7,-3,-2,3}

Question 30

30.

If A = {-4,-8,-3,7,6,-1,2} and μ = {-4,-8,-3,7,6,-1,2,4,1,-9,3}, find A ∪ μ

(i)

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

{}
(iii)

{-4,-8,3,-1,-3,6,-9,0,7,1,4,5,2}
(iv)

{7,3,1,5,2,4,-3,-10,-4,-1,-9}
(v)

{4,1,-3,6,-8,3,-9,7,2,-4,-1}

Question 31

31.

If A = {0,3,-6,-9,5} and μ = {0,3,-6,-9,5,6,7,9}, find A ∩ μ

(i)

{5,0,-9,-6,3}
(ii)

{-6,3,0,-9}
(iii)

{0,3,-9,5,-7}
(iv)

{1,-6,4,3,-12}
(v)

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

Question 32

32.

Find n(μ)

(i)

9
(ii)

8
(iii)

5
(iv)

11
(v)

7

Question 33

33.

Find n(A ∪ μ)

(i)

11
(ii)

10
(iii)

8
(iv)

14
(v)

12

Question 34

34.

Find n(A ∩ μ)

(i)

2
(ii)

3
(iii)

1
(iv)

4
(v)

5

Assignment Key