EduSahara™ Worksheet

Question 1

1.

Which of the following is a singleton set?

(i)

{9}
(ii)

{-6,-9,7,3,8}
(iii)

{6,-6,9,-2}
(iv)

{-5,6}
(v)

{-6,-9,-7}

Question 2

2.

Which of the following is a null set?

(i)

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

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

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

{-1,2}
(v)

{}

Question 3

3.

Which of the following is equal to set A = {0,8,4}?

(i)

{4,0,8}
(ii)

{-3,5}
(iii)

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

{8,4,-5}
(v)

{6,-8,-7,1}

Question 4

4.

Which of the following is equivalent set of A = {-1,-3,0,-7,4,-4}?

(i)

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

{-2,-6,3,-8,-5,-9,-7}
(iii)

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

{-1,-3,0,4,-4}
(v)

{-2,-6,3,-8,-5,-9}

Question 5

5.

Which of the following is an infinite set?

(i)

{0,1,...}
(ii)

{7}
(iii)

{-9,1,5}
(iv)

{}
(v)

{-4,-7}

Question 6

6.

If A = {7,2,9,8,10}, which of the following are true?

a)

7
⊂
A

b)

A
⊃
7

c)

7
∉
A

d)

{10,9}
⊂
A

e)

7
∈
A

(i)

{b,e}
(ii)

{c,a,d}
(iii)

{a,d}
(iv)

{b,e,d}
(v)

{d,e}

Question 7

7.

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

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

(i)

{a,b}
(ii)

{d,e,b}
(iii)

{c,b}
(iv)

{b}

Question 8

8.

If A = {p,l,c,r,o}, which of the following are true?

a)

l
∉
A

b)

l
⊂
A

c)

A
⊃
l

d)

l
∈
A

e)

{c}
⊂
A

(i)

{d,e}
(ii)

{c,a,d}
(iii)

{b,e,d}
(iv)

{b,e}
(v)

{a,d}

Question 9

9.

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

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

(i)

{c,d}
(ii)

{b,d,e}
(iii)

{a,b,d}
(iv)

{a,b}
(v)

{a,c,e}

Question 10

10.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{b,a}
(iii)

{a,c}
(iv)

{d,c,a}
(v)

{d,c}

Question 11

11.

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)

{e}
(ii)

{c,d,e}
(iii)

{b,e}
(iv)

{a,e}

Question 12

12.

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

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

(i)

{c,d}
(ii)

{b,a}
(iii)

{c,d,a}
(iv)

{a,d}
(v)

{e,b,a}

Question 13

13.

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)

{c,b}
(ii)

{b}
(iii)

{a,b}
(iv)

{d,e,b}

Question 14

14.

D =
{11,13,16,18,19,12,17}
and E =
{10,6,7,4,1,8,3,9,2,5}
,

which of the following are true?

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

(i)

{b,a}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{c,e,a}
(v)

{a,e}

Question 15

15.

Which of the following are disjoint sets?

(i)
{3,4,19,6,2,5}

,

{}
(ii)
{}

,

{3,4,19,6,2,5}
(iii)
{3,4,19,6,2,5}

,

{15,13,12,17,1,5}
(iv)
{3,4,19,6,2,5}

,

{3,4,19,6,2,5}
(v)
{3,4,19,6,2}

,

{15,13,12,17,1}

Question 16

16.

Which of the following are overlapping sets?

(i)
{4,1,12,20,18}

,

{}
(ii)
{4,1,12,20,18}

,

{7,10}
(iii)
{4,1,12,20,18}

,

{1,7,18,10,12}
(iv)
{4,20}

,

{7,10}
(v)
{4,20}

,

{1,7,18,10,12}

Question 17

17.

Which of the following elements belong to the set {5,1,2,4,3}?

(i)

12
(ii)

2
(iii)

(-2)
(iv)

11
(v)

(-3)

Question 18

18.

Which of the following is 'intersection' symbol?

(i)

⊆
(ii)

∩
(iii)

↔
(iv)

⊇
(v)

⊅

Question 19

19.

Which of the following is 'minus' symbol?

(i)

↔
(ii)

⊃
(iii)

∪
(iv)

−
(v)

⊆

Question 20

20.

Which of the following is 'complement' symbol?

(i)

⊄
(ii)

∉
(iii)

'
(iv)

⊂
(v)

⊃

Question 21

21.

Which of the following is 'subset' symbol?

(i)

⊂
(ii)

⊄
(iii)

∉
(iv)

∩
(v)

⊆

Question 22

22.

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

(i)

⊇
(ii)

∪
(iii)

⊅
(iv)

⊄
(v)

⊆

Question 23

23.

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

(i)

⊃
(ii)

⊄
(iii)

∩
(iv)

⊆
(v)

∉

Question 24

24.

Which of the following is 'superset' symbol?

(i)

⊃
(ii)

⊇
(iii)

⊄
(iv)

↔
(v)

⊂

Question 25

25.

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

(i)

⊃
(ii)

∪
(iii)

⊇
(iv)

⊅
(v)

∉

Question 26

26.

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

(i)

∈
(ii)

⊅
(iii)

⊄
(iv)

↔
(v)

∉

Question 27

27.

Which of the following is 'equivalent set' symbol?

(i)

∪
(ii)

↔
(iii)

⊇
(iv)

⊂
(v)

∈

Question 28

28.

Which of the following is 'belongs to' symbol?

(i)

⊃
(ii)

⊆
(iii)

⊅
(iv)

∈
(v)

∩

Question 29

29.

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

(i)

⊄
(ii)

⊅
(iii)

∉
(iv)

⊆
(v)

∩

Question 30

30.

Which of the following is 'universal set' symbol?

(i)

μ
(ii)

↔
(iii)

⊃
(iv)

⊆
(v)

∉

Question 31

31.

Which of the following is 'null set' symbol?

(i)

∈
(ii)

∩
(iii)

∅
(iv)

∉
(v)

↔

Question 32

32.

Which of the following elements does not belong to the set {9,4,3,5,2}?

(i)

9
(ii)

10
(iii)

2
(iv)

5
(v)

4

Question 33

33.

Which of the following elements does not belong to the set {o,z,k,h,c}

(i)

c
(ii)

k
(iii)

o
(iv)

h
(v)

a

Question 34

34.

Which of the following is not equal to set A = {6,9,8,2,4,7,5,0,1,10}?

(i)

{3,7,8,5,10,6,0,1,2,9}
(ii)

{0,6,8,1,2,4,10,5,9,7}
(iii)

{4,0,5,6,10,8,9,1,7,2}
(iv)

{4,0,9,7,10,8,5,1,6,2}
(v)

{1,6,2,8,7,10,0,5,4,9}

Question 35

35.

Which of the following is an empty set?

(i)

{o}
(ii)

{0}
(iii)

{∅}
(iv)

{empty}
(v)

{}

Question 36

36.

Which of the following is a null set?

(i)

{∅}
(ii)

∅
(iii)

{empty}
(iv)

{0}
(v)

{o}

Question 37

37.

Which of the following are null sets?

a)

{1,4,6}

b)

∅

c)

{}

d)

{∅}

e)

{empty}

(i)

{e,a,b}
(ii)

{d,c,b}
(iii)

{a,b}
(iv)

{b,c}
(v)

{d,c}

Question 38

38.

Which of the following sets are not equivalent to set {5,4,7}?

a)	{2}
b)	{8,9,6}
c)	{6,5,4}
d)	{2,7}
e)	{1,6,10}

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{a,d}
(iv)

{c,d,a}
(v)

{c,d}

Question 39

39.

Which of the following are equivalent sets?

a)

{-4,-1,9,7,8,4}

b)

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

c)

{9,-1,1,0,8,-3}

d)

{7,4,-5,-7,8,-2,1,-6}

e)

{6,4,-4,2,1}

(i)

{d,c,a}
(ii)

{a,c}
(iii)

{b,a}
(iv)

{d,c}
(v)

{e,b,a}

Question 40

40.

Which of the following sets have same cardinality?

a)

{2,3,-2,-9}

b)

{-2,7,2,-9,-6,-7,-4}

c)

{2,5,-5,-9,9,-4}

d)

{5,8,9,-6,-1}

e)

{-1,-5,6,-6,8}

(i)

{b,e}
(ii)

{c,a,d}
(iii)

{b,e,d}
(iv)

{d,e}
(v)

{a,d}

Question 41

41.

Which of the following diagrams represent equivalent sets?

(i)

figure 3
(ii)

figure 4
(iii)

figure 1
(iv)

figure 2

Question 42

42.

What is the cardinality of an empty set?

(i)

5
(ii)

9
(iii)

7
(iv)

4
(v)

0

Question 43

43.

Which of the following diagrams represent equal sets?

(i)

figure 1
(ii)

figure 3
(iii)

figure 4
(iv)

figure 2

Question 44

44.

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

(i)

W
(ii)

R
(iii)

Z
(iv)

N
(v)

Q'

Question 45

45.

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

(i)

N
(ii)

Q'
(iii)

W
(iv)

Q
(v)

Z

Question 46

46.

Which of the following symbols represent the set of Integers ?

(i)

Q
(ii)

R
(iii)

Z
(iv)

Q'
(v)

W

Question 47

47.

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

(i)

N
(ii)

Q
(iii)

R
(iv)

W
(v)

Z

Question 48

48.

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

(i)

Q'
(ii)

W
(iii)

Q
(iv)

R
(v)

Z

Question 49

49.

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

(i)

Q
(ii)

Q'
(iii)

N
(iv)

R
(v)

W

Question 50

50.

Find the cardinality of A = {-8,-7,-2,6,5,2,1,7}

(i)

5
(ii)

8
(iii)

11
(iv)

7
(v)

9

Question 51

51.

If A = {1,-2,-5,8,-8,7,9,5,-3}, then n(A) = ?

(i)

9
(ii)

6
(iii)

12
(iv)

8
(v)

10

Question 52

52.

Which of the following is 'union' symbol?

(i)

∪
(ii)

⊇
(iii)

⊅
(iv)

⊄
(v)

⊆

Assignment Key