EduSahara™ Worksheet

Question 1

1.

Which of the following elements belong to the set {2,9,7,5,6}?

(i)

15
(ii)

16
(iii)

(-2)
(iv)

2
(v)

(-1)

Question 2

2.

Which of the following is 'union' symbol?

(i)

∩
(ii)

⊃
(iii)

↔
(iv)

∪
(v)

⊄

Question 3

3.

Which of the following is 'intersection' symbol?

(i)

⊂
(ii)

↔
(iii)

∩
(iv)

⊆
(v)

⊄

Question 4

4.

Which of the following is 'minus' symbol?

(i)

∈
(ii)

∪
(iii)

−
(iv)

⊄
(v)

⊅

Question 5

5.

Which of the following is 'complement' symbol?

(i)

∉
(ii)

'
(iii)

∪
(iv)

∈
(v)

⊃

Question 6

6.

Which of the following is 'subset' symbol?

(i)

⊂
(ii)

∩
(iii)

⊅
(iv)

⊆
(v)

⊇

Question 7

7.

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

(i)

⊆
(ii)

⊂
(iii)

∉
(iv)

↔
(v)

∈

Question 8

8.

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

(i)

∈
(ii)

⊄
(iii)

⊃
(iv)

∪
(v)

∩

Question 9

9.

Which of the following is 'superset' symbol?

(i)

⊃
(ii)

∉
(iii)

⊆
(iv)

∪
(v)

⊇

Question 10

10.

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

(i)

⊅
(ii)

⊂
(iii)

⊇
(iv)

⊆
(v)

∪

Question 11

11.

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

(i)

⊇
(ii)

⊅
(iii)

⊃
(iv)

∩
(v)

⊄

Question 12

12.

Which of the following is 'equivalent set' symbol?

(i)

⊄
(ii)

∩
(iii)

∉
(iv)

↔
(v)

⊇

Question 13

13.

Which of the following is 'belongs to' symbol?

(i)

∉
(ii)

∈
(iii)

⊂
(iv)

⊆
(v)

⊇

Question 14

14.

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

(i)

⊂
(ii)

∉
(iii)

∅
(iv)

⊇
(v)

⊃

Question 17

17.

Which of the following elements does not belong to the set {3,7,4,2,8}?

(i)

2
(ii)

3
(iii)

8
(iv)

6
(v)

4

Question 18

18.

Which of the following elements does not belong to the set {n,h,f,o,j}

(i)

h
(ii)

j
(iii)

n
(iv)

b
(v)

o

Question 19

19.

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

(i)

{8,10,6,7,4,9,0,5}
(ii)

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

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

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

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

Question 20

20.

Which of the following is an empty set?

(i)

{0}
(ii)

{}
(iii)

{empty}
(iv)

{∅}
(v)

{o}

Question 21

21.

Which of the following is a null set?

(i)

{empty}
(ii)

∅
(iii)

{o}
(iv)

{∅}
(v)

{0}

Question 22

22.

Which of the following are null sets?

a)

∅

b)

{empty}

c)

{}

d)

{∅}

e)

{5,4,1}

(i)

{a,c}
(ii)

{b,a}
(iii)

{e,b,a}
(iv)

{d,c,a}
(v)

{d,c}

Question 23

23.

Which of the following sets are not equivalent to set {1,3,9}?

a)	{1,3,8}
b)	{2,7,6}
c)	{4,5,2}
d)	{8}
e)	{5,1,7,6,8}

(i)

{c,a,d}
(ii)

{a,d}
(iii)

{d,e}
(iv)

{b,e,d}
(v)

{b,e}

Question 24

24.

Which of the following are equivalent sets?

a)

{0,9,8,-2,-9,-1}

b)

{0,3,-4}

c)

{-2,3,-5,4}

d)

{9,-4,-2,2}

e)

{0,-8,6,8,-5}

(i)

{a,c}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{e,a,c}
(v)

{b,d,c}

Question 25

25.

Which of the following sets have same cardinality?

a)

{-7,8,-9}

b)

{-6,2,8,-4,-9}

c)

{8,-9,-3}

d)

{-3,-2,6,2}

e)

{2,-8}

(i)

{d,c}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{e,b,a}
(v)

{a,c}

Question 26

26.

Which of the following is a subset of set A = {3,-4,4,-6,9}?

(i)

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

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

{∅}
(iv)

μ
(v)

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

Question 27

27.

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

(i)

∅
(ii)

{9,-9,7,-1,-7,-8}
(iii)

μ
(iv)

{∅}
(v)

{-8,6,9,7,-1}

Question 28

28.

Which of the following is the power set of A =
{3}
?

(i)

{3,0}
(ii)

{
{}

{3}
}
(iii)

{
{}

{3}

{0,2}
}
(iv)

{
{3}
}
(v)

{ }

Question 29

29.

Which of the following is the power set of A =
{2,1}
?

(i)

{6,1,2}
(ii)

{
{}

{2}

{1}

{2,1}

{6,3}
}
(iii)

{
{}

{2}

{1}

{2,1}
}
(iv)

{
{}

{2}

{2,1}
}
(v)

{
{}

{2}
}

Question 30

30.

Which of the following is the power set of A =
{6,5,4}
?

(i)

{
{}

{6}

{5}

{6,5}

{6,4}

{6,5,4}
}
(ii)

{
{}

{6}

{5}

{4}

{6,5}

{6,4}

{5,4}

{6,5,4}
}
(iii)

{
{}

{6}

{5}

{4}

{6,5}

{6,4}

{6,5,4}
}
(iv)

{4,7,6,5}

Question 31

31.

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

(i)

30
(ii)

31
(iii)

32
(iv)

33
(v)

34

Question 32

32.

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

(i)

{1,2}
(ii)

{2,4}
(iii)

{1,3,0}
(iv)

{5,0}
(v)

{0,1,2}

Question 33

33.

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

(i)

10
(ii)

7
(iii)

8
(iv)

6
(v)

4

Question 34

34.

What is the cardinality of an empty set?

(i)

2
(ii)

4
(iii)

0
(iv)

7
(v)

6

Question 35

35.

Which of the following is not a subset of A = {8,4,5,6,1}?

(i)

{5,6,1}
(ii)

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

{8,4,5,6,1}
(iv)

{8,6,1,5}
(v)

{6,1,4,5}

Question 36

36.

Which of the following is superset of A = {6,0,5,2,8,7}?

(i)

{4,6,8,5,0,7}
(ii)

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

{6,8,0,5}
(iv)

{5,2,0,8,6,9}
(v)

{6,8,5,7,0}

Question 37

37.

Which of the following is not a superset of A = {4,6,5,9}?

(i)

{8,5,6,9,4}
(ii)

{9,6,7,5,4}
(iii)

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

{6,9,5,4,3}
(v)

{3,4,5,9}

Question 38

38.

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

(i)

Z
(ii)

W
(iii)

N
(iv)

Q
(v)

Q'

Question 39

39.

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

(i)

R
(ii)

N
(iii)

W
(iv)

Q
(v)

Q'

Question 40

40.

Which of the following symbols represent the set of Integers ?

(i)

Q'
(ii)

R
(iii)

N
(iv)

Q
(v)

Z

Question 41

41.

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

(i)

R
(ii)

Q'
(iii)

N
(iv)

W
(v)

Q

Question 42

42.

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

(i)

N
(ii)

Q
(iii)

Z
(iv)

W
(v)

Q'

Question 43

43.

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

(i)

Q
(ii)

W
(iii)

R
(iv)

Z
(v)

Q'

Question 44

44.

If A = {2,9,1,4,6}, which of the following are true?

a)

9
⊂
A

b)

{2,9}
⊂
A

c)

9
∈
A

d)

9
∉
A

e)

A
⊃
9

(i)

{d,c}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{d,c,b}
(v)

{b,c}

Question 45

45.

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

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

(i)

{e}
(ii)

{a,e}
(iii)

{b,e}
(iv)

{c,d,e}

Question 46

46.

If A = {w,i,d,t,x}, which of the following are true?

a)

d
∈
A

b)

d
⊂
A

c)

{i,x}
⊂
A

d)

d
∉
A

e)

A
⊃
d

(i)

{d,c}
(ii)

{a,c}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{e,b,a}

Question 47

47.

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)	C ⊃ B
e)	∅ ⊂ B

(i)

{b,d,e}
(ii)

{a,c,e}
(iii)

{a,b,d}
(iv)

{c,d}
(v)

{a,b}

Question 48

48.

Which of the following are true?

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

(i)

{b,c}
(ii)

{d,c,b}
(iii)

{d,c}
(iv)

{e,a,b}
(v)

{a,b}

Question 49

49.

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

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

(i)

{d,e,a}
(ii)

{a}
(iii)

{c,a}
(iv)

{b,a}

Question 50

50.

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

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

(i)

{c,a,d}
(ii)

{a,d}
(iii)

{b,e}
(iv)

{d,e}
(v)

{b,e,d}

Question 51

51.

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

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

(i)

{d,e,a}
(ii)

{b,a}
(iii)

{c,a}
(iv)

{a}

Question 52

52.

D =
{18,14,15,13,12,17,11}
and E =
{8,5,10,7,6,1,2,9,4,3}
,

which of the following are true?

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

(i)

{c,e,b}
(ii)

{b,e}
(iii)

{a,b}
(iv)

{c,e}
(v)

{d,a,b}

Question 53

53.

For any two non-empty sets A and B, which of the following are true?

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

(i)

{e,b,a}
(ii)

{c,d,a}
(iii)

{b,a}
(iv)

{c,d}
(v)

{a,d}

Question 54

54.

Which of the following are true?

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

(i)

{c,e}
(ii)

{b,e,a}
(iii)

{b,a}
(iv)

{a,e}
(v)

{d,f,a}

Question 55

55.

Which of the following are true with respect to set operations?

a)	Intersection is associative
b)	Intersection is not associative
c)	Union does not distribute over intersection
d)	Intersection distributes over union
e)	Union distributes over intersection

(i)

{b,a,d}
(ii)

{b,c,e}
(iii)

{b,a}
(iv)

{c,d}
(v)

{a,d,e}

Question 56

56.

Which of the following are true with respect to set operations?

a)	Intersection is not commutative
b)	Union is associative
c)	Intersection is commutative
d)	Union is not commutative
e)	Union is commutative

(i)

{a,d,e}
(ii)

{d,c}
(iii)

{b,c,e}
(iv)

{a,b}
(v)

{a,b,c}

Question 57

57.

Which of the following are true?

a)	A' ∩ B' = (A ∩ B)'
b)	A' ∪ B' = (A ∩ B)'
c)	A' ∪ B' = (A ∪ B)'
d)	A' ∩ B' = A' ∪ B'
e)	A' ∩ B' = (A ∪ B)'

(i)

{a,b}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{d,a,b}
(v)

{c,e,b}

Question 58

58.

Which of the following are true?

a)	(A ∪ B) ∪ C = A ∪ (B ∪ C)
b)	A ∪ (B ∩ C) = (A ∩ B) ∪ (A ∩ C)
c)	A ∩ (B ∪ C) = (A ∪ B) ∩ (A ∪ C)
d)	(A ∩ B) ∩ C = A ∩ (B ∩ C)
e)	A ∩ (B ∪ C) = (A ∩ B) ∪ (A ∩ C)
f)	A ∪ (B ∩ C) = (A ∪ B) ∩ (A ∪ C)

(i)

{a,d,e,f}
(ii)

{b,f,a}
(iii)

{b,c,e}
(iv)

{b,a}
(v)

{c,d}

Question 59

59.

Which of the following are disjoint sets?

(i)
{16,10,14}

,

{5,3,17}
(ii)
{16,8,10,6,14,7}

,

{5,8,3,17,6,7}
(iii)
{16,8,10,6,14,7}

,

{}
(iv)
{}

,

{16,8,10,6,14,7}
(v)
{16,8,10,6,14,7}

,

{16,8,10,6,14,7}

Question 60

60.

Which of the following are overlapping sets?

(i)
{2,5,18}

,

{17,7,9,20,11,10}
(ii)
{2,5,18}

,

{17,20,11}
(iii)
{2,5,9,7,18,10}

,

{17,7,9,20,11,10}
(iv)
{2,5,9,7,18,10}

,

{}
(v)
{2,5,9,7,18,10}

,

{17,20,11}

Assignment Key