EduSahara™ Worksheet

Question 1

1.

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

(i)

{4,3,1}
(ii)

{3}
(iii)

{1,3}
(iv)

{1,4,5}
(v)

{2,4}

Question 2

2.

Which of the following is a subset of A = {1,6,3,8,2,5}?

(i)

{0}
(ii)

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

{10,7}
(iv)

{}
(v)

{10,7,0}

Question 3

3.

Which of the following is a subset of A = {13,10,5,8,14,4,1}?

(i)

{8,14,1,13,12,4,10}
(ii)

{12,2,6}
(iii)

{13,2}
(iv)

{13}
(v)

{6,12,13}

Question 4

4.

Find the cardinality of A = {-5,-7,-3,9,7,-6,-8}

(i)

6
(ii)

10
(iii)

7
(iv)

4
(v)

8

Question 5

5.

If A = {6,8,1,0,7,-7,-6}, then n(A) = ?

(i)

8
(ii)

5
(iii)

7
(iv)

9
(v)

6

Question 6

6.

Which of the following is a singleton set?

(i)

{7}
(ii)

{1,4,-8,-5,-4}
(iii)

{5,6,-2}
(iv)

{5,-5}
(v)

{-8,5,1,2}

Question 7

7.

Which of the following is a null set?

(i)

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

{-3,0,-8,-1}
(iii)

{-2,0}
(iv)

{}
(v)

{9,-6,-2}

Question 8

8.

Which of the following is equal to set A = {6,2,-1,-4}?

(i)

{9,4,-9,-2,0}
(ii)

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

{-9,3,5}
(iv)

{7,0,-8,-5}
(v)

{-1,6,2,-4}

Question 9

9.

Which of the following is equivalent set of A = {3,-2,5,6,-8,-3}?

(i)

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

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

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

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

{0,-5,2,-7,7,-4,6}

Question 10

10.

Which of the following is an infinite set?

(i)

{0,1,2,3,4,...}
(ii)

{}
(iii)

{1}
(iv)

{8,6}
(v)

{1,2,5}

Question 11

11.

If A = {4,9,3,6,1}, which of the following are true?

a)

9
∈
A

b)

{6}
⊂
A

c)

9
⊂
A

d)

A
⊃
9

e)

9
∉
A

(i)

{a,b}
(ii)

{d,b}
(iii)

{c,a}
(iv)

{d,b,a}
(v)

{e,c,a}

Question 12

12.

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
e)	A ∩ B = A

(i)

{a}
(ii)

{c,a}
(iii)

{b,a}
(iv)

{d,e,a}

Question 13

13.

If A = {s,n,d,a,z}, which of the following are true?

a)

z
⊂
A

b)

{a,d}
⊂
A

c)

A
⊃
z

d)

z
∈
A

e)

z
∉
A

(i)

{a,b}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{b,d}
(v)

{c,d,b}

Question 14

14.

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

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

(i)

{a,b,d}
(ii)

{c,d}
(iii)

{b,d,e}
(iv)

{a,c,e}
(v)

{a,b}

Question 15

15.

Which of the following are true?

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{c,d}
(iv)

{b,d}
(v)

{c,d,b}

Question 16

16.

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,a}
(ii)

{d,e,a}
(iii)

{b,a}
(iv)

{a}

Question 17

17.

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

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

(i)

{e,b,a}
(ii)

{d,c,a}
(iii)

{d,c}
(iv)

{b,a}
(v)

{a,c}

Question 18

18.

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

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

(i)

{c,e,d}
(ii)

{a,d}
(iii)

{d}
(iv)

{b,d}

Question 19

19.

D =
{11,18,16,14,17,13,15}
and E =
{2,7,5,8,1,3,10,6,4,9}
,

which of the following are true?

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

(i)

{a,b}
(ii)

{a,c,e}
(iii)

{b,d,e}
(iv)

{a,b,d}
(v)

{c,d}

Question 20

20.

Which of the following are disjoint sets?

(i)
{20,17,12,15,3,5}

,

{5,14,2,15,3}
(ii)
{}

,

{20,17,12,15,3,5}
(iii)
{20,17,12}

,

{5,14,2}
(iv)
{20,17,12,15,3,5}

,

{20,17,12,15,3,5}
(v)
{20,17,12,15,3,5}

,

{}

Question 21

21.

Which of the following are overlapping sets?

(i)
{11,10,2,13,7,1,16}

,

{3,5}
(ii)
{11,10,2,13,7,1,16}

,

{10,1,3,5,16}
(iii)
{11,2,13,7}

,

{3,5}
(iv)
{11,10,2,13,7,1,16}

,

{}
(v)
{11,2,13,7}

,

{10,1,3,5,16}

Question 22

22.

Which of the following elements belong to the set {8,3,4,10,7}?

(i)

(-2)
(ii)

15
(iii)

14
(iv)

(-1)
(v)

8

Question 23

23.

Which of the following is 'union' symbol?

(i)

⊇
(ii)

∪
(iii)

⊃
(iv)

∉
(v)

∩

Question 24

24.

Which of the following is 'intersection' symbol?

(i)

∩
(ii)

⊅
(iii)

⊃
(iv)

⊄
(v)

↔

Question 25

25.

Which of the following is 'minus' symbol?

(i)

↔
(ii)

⊃
(iii)

∪
(iv)

−
(v)

⊂

Question 26

26.

Which of the following is 'complement' symbol?

(i)

⊅
(ii)

⊃
(iii)

'
(iv)

⊂
(v)

∪

Question 27

27.

Which of the following is 'subset' symbol?

(i)

⊂
(ii)

∉
(iii)

⊃
(iv)

⊆
(v)

∩

Question 28

28.

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

(i)

⊆
(ii)

⊅
(iii)

∈
(iv)

⊄
(v)

∪

Question 29

29.

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

(i)

∉
(ii)

⊂
(iii)

∪
(iv)

↔
(v)

⊄

Question 30

30.

Which of the following is 'superset' symbol?

(i)

⊇
(ii)

∈
(iii)

∉
(iv)

⊂
(v)

⊃

Question 31

31.

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

(i)

∉
(ii)

⊇
(iii)

⊄
(iv)

∪
(v)

⊅

Question 32

32.

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

(i)

⊃
(ii)

⊅
(iii)

∈
(iv)

∪
(v)

⊆

Question 33

33.

Which of the following is 'equivalent set' symbol?

(i)

⊅
(ii)

⊇
(iii)

⊆
(iv)

∉
(v)

↔

Question 34

34.

Which of the following is 'belongs to' symbol?

(i)

⊃
(ii)

∪
(iii)

⊄
(iv)

∈
(v)

⊂

Question 35

35.

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

(i)

∩
(ii)

⊃
(iii)

∈
(iv)

∉
(v)

⊇

Question 36

36.

Which of the following is 'universal set' symbol?

(i)

μ
(ii)

⊅
(iii)

⊄
(iv)

⊃
(v)

∩

Question 37

37.

Which of the following is 'null set' symbol?

(i)

↔
(ii)

⊇
(iii)

∅
(iv)

∩
(v)

∈

Question 38

38.

Which of the following elements does not belong to the set {5,10,6,2,9}?

(i)

5
(ii)

2
(iii)

3
(iv)

9
(v)

6

Question 39

39.

Which of the following elements does not belong to the set {k,a,m,j,g}

(i)

a
(ii)

g
(iii)

p
(iv)

k
(v)

j

Question 40

40.

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

(i)

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

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

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

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

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

Question 41

41.

Which of the following is an empty set?

(i)

{0}
(ii)

{o}
(iii)

{empty}
(iv)

{∅}
(v)

{}

Question 42

42.

Which of the following is a null set?

(i)

{empty}
(ii)

{o}
(iii)

∅
(iv)

{0}
(v)

{∅}

Question 43

43.

Which of the following are null sets?

a)

{empty}

b)

{∅}

c)

{5,3,7}

d)

{}

e)

∅

(i)

{b,e}
(ii)

{c,a,d}
(iii)

{a,d}
(iv)

{d,e}
(v)

{b,e,d}

Question 44

44.

Which of the following sets are not equivalent to set {3,7,9,8,1}?

a)	{2,7,6,10,9,5,4}
b)	{1,5,2,3,8}
c)	{8,4,3,6,2}
d)	{4,8,1,10,6,2}
e)	{4,3,6,7,8}

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{a,d}
(iv)

{c,d,a}
(v)

{b,a}

Question 45

45.

Which of the following are equivalent sets?

a)

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

b)

{-6,6,0,-4}

c)

{0,-8,2}

d)

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

e)

{-6,-7,-4,-8,7}

(i)

{c,a}
(ii)

{a,b}
(iii)

{d,b}
(iv)

{e,c,a}
(v)

{d,b,a}

Question 46

46.

Which of the following sets have same cardinality?

a)

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

b)

{-2,-8,-5,-3,-4,9}

c)

{8,-9,-2,-7,1}

d)

{1,6,4,0}

e)

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

(i)

{d,a,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{a,c}

Question 47

47.

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

(i)

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

μ
(iii)

{2,-9,-1,5,1}
(iv)

{∅}
(v)

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

Question 48

48.

Which of the following is a subset of set A = {-5,5,4,-1,-4}?

(i)

{∅}
(ii)

{4,-4,5,-1,-2,-5}
(iii)

{7,4,5,-4,-5}
(iv)

∅
(v)

μ

Question 49

49.

Which of the following is a proper subset of A = {5,0,2}?

(i)

{5,3}
(ii)

{4,0,2}
(iii)

{5,0,2}
(iv)

{5,0}
(v)

{2,1}

Question 50

50.

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

(i)

8
(ii)

4
(iii)

7
(iv)

6
(v)

9

Question 51

51.

What is the cardinality of an empty set?

(i)

2
(ii)

5
(iii)

0
(iv)

4

Question 52

52.

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

(i)

N
(ii)

R
(iii)

W
(iv)

Q'
(v)

Z

Question 53

53.

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

(i)

Q
(ii)

R
(iii)

W
(iv)

N
(v)

Z

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

R
(ii)

Q
(iii)

N
(iv)

Z
(v)

Q'

Question 55

55.

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

(i)

Z
(ii)

R
(iii)

W
(iv)

Q
(v)

Q'

Question 56

56.

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

(i)

Z
(ii)

W
(iii)

Q'
(iv)

N
(v)

R

Question 57

57.

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

(i)

R
(ii)

Q
(iii)

N
(iv)

Z
(v)

Q'

Assignment Key