EduSahara™ Worksheet

Question 1

1.

If A = {2,6,5,7,1}, which of the following are true?

a)

2
⊂
A

b)

2
∉
A

c)

A
⊃
2

d)

2
∈
A

e)

{1}
⊂
A

(i)

{a,d}
(ii)

{b,e}
(iii)

{b,e,d}
(iv)

{d,e}
(v)

{c,a,d}

Question 2

2.

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

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

(i)

{d,e,b}
(ii)

{a,b}
(iii)

{b}
(iv)

{c,b}

Question 3

3.

If A = {f,t,e,u,a}, which of the following are true?

a)

a
∈
A

b)

{u}
⊂
A

c)

a
∉
A

d)

A
⊃
a

e)

a
⊂
A

(i)

{c,a}
(ii)

{d,b}
(iii)

{a,b}
(iv)

{d,b,a}
(v)

{e,c,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 ⊃ B
c)	C ⊂ A
d)	B ⊂ A
e)	∅ ⊂ B

(i)

{a,b,e}
(ii)

{c,a,b}
(iii)

{c,a}
(iv)

{c,d,e}
(v)

{d,b}

Question 5

5.

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

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

(i)

{b,d}
(ii)

{c,e,d}
(iii)

{a,d}
(iv)

{d}

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)

{d,b}
(ii)

{d,b,a}
(iii)

{e,c,a}
(iv)

{c,a}
(v)

{a,b}

Question 7

7.

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

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

(i)

{b}
(ii)

{d,e,b}
(iii)

{c,b}
(iv)

{a,b}

Question 8

8.

D =
{11,12,19,16,18,14,13}
and E =
{10,4,3,8,7,6,1,5,2,9}
,

which of the following are true?

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

(i)

{b,e}
(ii)

{d,e}
(iii)

{a,d}
(iv)

{c,a,d}
(v)

{b,e,d}

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)

μ
(iii)

⊄
(iv)

⊅
(v)

⊇

Question 16

16.

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

(i)

{∅}
(ii)

{6,3,-5,7,-3}
(iii)

μ
(iv)

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

{6,-2,7,3,-3}

Question 17

17.

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

(i)

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

∅
(iii)

μ
(iv)

{8,1,5,-9,9,-1}
(v)

{∅}

Question 18

18.

Which of the following is a proper subset of A = {2,1,3}?

(i)

{0,3}
(ii)

{3,5,2}
(iii)

{1,3}
(iv)

{1,4}
(v)

{2,1,3}

Question 19

19.

Find the number of proper subsets of A = {3}

(i)

0
(ii)

1
(iii)

4
(iv)

(-2)
(v)

2

Question 20

20.

Which of the following is not a subset of A = {6,8,7,9,2,0,5,4}?

(i)

{5,7,8,2,0,6}
(ii)

{5,2,4,9,7,8,0}
(iii)

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

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

{6,8,7,9,2,0,5,4}

Question 21

21.

Which of the following is superset of A = {8,7,4,9,1,0,2}?

(i)

{9,5,1,0,2,7,8}
(ii)

{4,8,7,1,0,2}
(iii)

{7,9,8,1,6,0,2}
(iv)

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

{4,1,9,8,2}

Question 22

22.

Which of the following is not a superset of A = {4,7,3,2}?

(i)

{4,0,2,7,3}
(ii)

{3,4,7,2}
(iii)

{4,3,6,7,2}
(iv)

{3,5,7,2,4}
(v)

{2,3,7,6}

Question 23

23.

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

(i)

figure 3
(ii)

figure 2
(iii)

None of the above
(iv)

figure 1
(v)

figure 4

Question 24

24.

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

(i)

{5,2,1}
(ii)

{1,3,5}
(iii)

{3,4,5}
(iv)

{3}
(v)

{3,1}

Question 25

25.

Which of the following is a subset of A = {9,7,0,8,6}?

(i)

{8,2,0,6}
(ii)

{4,2,10}
(iii)

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

{0,6,8}
(v)

{10,0,6,8,4}

Question 26

26.

Which of the following is a subset of A = {12,14,8,0,6}?

(i)

{1,3,11}
(ii)

{14,0,8}
(iii)

{3,0,14,1,8}
(iv)

{0,1,14,8}
(v)

{8,1,12,14,0}

Question 27

27.

Find μ

(i)

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

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

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

{-4,-5,3,-3,2,4,-6,-9,0,9}
(v)

{6,9,2,3,4,-4,-3,-6,-5,0,-9}

Question 28

28.

Find A ∪ μ

(i)

{}
(ii)

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

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

{8,-5,-2,-7}

Question 29

29.

Find A ∩ μ

(i)

{1,-6,-3,-5,-1}
(ii)

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

{-6,-1,0,1,-9,-5,3}
(iv)

{-1,-9,-6,-5,1}
(v)

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

Question 30

30.

If A = {-3,-6,9,7,-2,4} and μ = {-3,-6,9,7,-2,4,1,0,-1,-9}, find A ∪ μ

(i)

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

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

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

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

{9,-2,4,-3,7,1,-1,0,-6}

Question 31

31.

If A = {-4,4,3,-9,-8} and μ = {-4,4,3,-9,-8,0,-2,-3}, find A ∩ μ

(i)

{1,4,-9,-4,3,-8,0}
(ii)

{4,-12,-4,2,-10}
(iii)

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

{-4,4,-8,3,-9}
(v)

{-9,-8,4,3}

Question 32

32.

Find n(μ)

(i)

5
(ii)

6
(iii)

8
(iv)

7
(v)

9

Question 33

33.

Find n(A ∪ μ)

(i)

9
(ii)

5
(iii)

6
(iv)

7
(v)

8

Question 34

34.

Find n(A ∩ μ)

(i)

4
(ii)

2
(iii)

3
(iv)

1
(v)

5

Assignment Key