EduSahara™ Worksheet

Question 1

1.

If A = {10,3,1,9,8}, which of the following are true?

a)

10
∉
A

b)

10
∈
A

c)

10
⊂
A

d)

{8,1}
⊂
A

e)

A
⊃
10

(i)

{c,d}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{e,a,b}
(v)

{a,b}

Question 2

2.

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

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

(i)

{a,e}
(ii)

{b,e}
(iii)

{e}
(iv)

{c,d,e}

Question 3

3.

If A = {m,u,f,n,s}, which of the following are true?

a)

A
⊃
f

b)

{n,u}
⊂
A

c)

f
∈
A

d)

f
⊂
A

e)

f
∉
A

(i)

{e,a,b}
(ii)

{d,c}
(iii)

{a,b}
(iv)

{b,c}
(v)

{d,c,b}

Question 4

4.

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

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

(i)

{c,a,b}
(ii)

{e,b}
(iii)

{a,b,d}
(iv)

{c,a}
(v)

{c,e,d}

Question 5

5.

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

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

(i)

{c,b}
(ii)

{a,b}
(iii)

{b}
(iv)

{d,e,b}

Question 6

6.

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

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

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{b,e,c}
(v)

{c,e}

Question 7

7.

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

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

(i)

{c,a}
(ii)

{a}
(iii)

{b,a}
(iv)

{d,e,a}

Question 8

8.

D =
{16,17,14,13,19,15,12}
and E =
{9,3,1,4,10,8,7,6,2,5}
,

which of the following are true?

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

(i)

{c,d,b}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{b,d}
(v)

{a,b}

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)

⊆
(ii)

∪
(iii)

⊇
(iv)

∉
(v)

μ

Question 16

16.

Which of the following is a subset of set A = {1,2,0,-1,-2}?

(i)

{1,7,0,-1,2,-2}
(ii)

μ
(iii)

{2,1,-2,-1,0}
(iv)

{∅}
(v)

{3,-1,2,0,-2}

Question 17

17.

Which of the following is a subset of set A = {-7,9,-3,7,0}?

(i)

{4,-7,9,7,0}
(ii)

∅
(iii)

{7,9,8,0,-7,-3}
(iv)

{∅}
(v)

μ

Question 18

18.

Which of the following is a proper subset of A = {4,2,3}?

(i)

{4,3}
(ii)

{4,2,3}
(iii)

{1,2}
(iv)

{4,0,3}
(v)

{2,5}

Question 19

19.

Find the number of proper subsets of A = {1,5}

(i)

3
(ii)

5
(iii)

1
(iv)

2
(v)

4

Question 20

20.

Which of the following is not a subset of A = {9,7,2,0,5,4,6,1,3}?

(i)

{2,3,6,0,5,1,9,7}
(ii)

{3,1,9,2,7,0,6}
(iii)

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

{0,6,8,5,2,3,1,4}
(v)

{1,7,6,3,5,9,4,2}

Question 21

21.

Which of the following is superset of A = {0,1,3,9,2}?

(i)

{9,0,1,2}
(ii)

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

{2,0,3}
(iv)

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

{1,0,3,2,4}

Question 22

22.

Which of the following is not a superset of A = {4,6,8}?

(i)

{2,8,6}
(ii)

{9,4,8,6}
(iii)

{8,4,6}
(iv)

{8,4,6,3}
(v)

{2,8,6,4}

Question 23

23.

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

(i)

figure 2
(ii)

figure 4
(iii)

figure 3
(iv)

figure 1
(v)

None of the above

Question 24

24.

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

(i)

{4,3}
(ii)

{1,5,0}
(iii)

{0}
(iv)

{0,3,4}
(v)

{}

Question 25

25.

Which of the following is a subset of A = {1,6,8,4,7,0}?

(i)

{}
(ii)

{5,10,9}
(iii)

{9}
(iv)

{7,1,10,6,0,4}
(v)

{10,9}

Question 26

26.

Which of the following is a subset of A = {1,6,10,13,12,14,5,11,0}?

(i)

{12,2,1}
(ii)

{2,7,3}
(iii)

{5,0,12,11,10,13,3,14,1}
(iv)

{12,1}
(v)

{3,12,7,1}

Question 27

27.

Find μ

(i)

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

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

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

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

{-2,3,-6,9,-4,-7,4,-5,-3,-1}

Question 28

28.

Find A ∪ μ

(i)

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

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

{-12,6,4,0,7,-5,5,-7,1}
(iv)

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

{6,2,1,-5,3,-12,7,4,0,5,-7}

Question 29

29.

Find A ∩ μ

(i)

{7,-2}
(ii)

{-6,8,7}
(iii)

{-4,9}
(iv)

{7,-6}
(v)

{9,-1,-4,2}

Question 30

30.

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

(i)

{3,-7,-3,0,-9,4,7,6}
(ii)

{3,-3,-6,-7,-1,4,7}
(iii)

{}
(iv)

{7,4,-1,-3,6,-6,-7,3}
(v)

{-6,5,7,3,0,4,6,-3,-1,-7}

Question 31

31.

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

(i)

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

{8,6,2,4,-6,-2,-4}
(iii)

{6,9,3,1,-6,7,-4}
(iv)

{4,7,5,3,1,-6,-1,6,-4}
(v)

{7,1,4,-4,6,3}

Question 32

32.

Find n(μ)

(i)

8
(ii)

10
(iii)

6
(iv)

7
(v)

4

Question 33

33.

Find n(A ∪ μ)

(i)

6
(ii)

2
(iii)

8
(iv)

4
(v)

5

Question 34

34.

Find n(A ∩ μ)

(i)

4
(ii)

5
(iii)

6
(iv)

1
(v)

3

Assignment Key