EduSahara™ Worksheet

Question 1

1.

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

(i)

{3,0}
(ii)

{}
(iii)

{5,4,3}
(iv)

{3,4}
(v)

{4}

Question 2

2.

Which of the following is a subset of A = {3,4,0,10,8,9}?

(i)

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

{4,9,0,8,10}
(iii)

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

{9,0,1,4,8,10}
(v)

{1,2,5}

Question 3

3.

Which of the following is a subset of A = {5,10,6,11,0,7,13}?

(i)

{7,15,13,11,5,0}
(ii)

{6,7,5,0,14,11,10}
(iii)

{5,11,14,13,15,0,7}
(iv)

{13,7,11,5,0}
(v)

{14,12,15}

Question 4

4.

Find the cardinality of A = {-2,-8,0,6,2,1}

(i)

7
(ii)

5
(iii)

6
(iv)

3
(v)

9

Question 5

5.

If A = {0,-6,5}, then n(A) = ?

(i)

2
(ii)

5
(iii)

3
(iv)

4
(v)

0

Question 6

6.

Which of the following is a singleton set?

(i)

{0,3,1,9}
(ii)

{-2}
(iii)

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

{6,-2}
(v)

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

Question 7

7.

Which of the following is a null set?

(i)

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

{}
(iii)

{9,-8}
(iv)

{6,0,-6,-2,1}
(v)

{-6,6,4,-3}

Question 8

8.

Which of the following is equal to set A = {9,3,5}?

(i)

{-1,-3}
(ii)

{9,5,3}
(iii)

{3,5,7}
(iv)

{-1,-3,2,-4}
(v)

{-8,7,-1}

Question 9

9.

Which of the following is equivalent set of A = {9,-9}?

(i)

{4,8,6,1}
(ii)

{2,-8,-9}
(iii)

{}
(iv)

{2,-8}
(v)

{9}

Question 10

10.

Which of the following is an infinite set?

(i)

{2,4,3}
(ii)

{-4,2}
(iii)

{-1}
(iv)

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

{}

Question 11

11.

If A = {7,5,6,3,9}, which of the following are true?

a)

{5}
⊂
A

b)

9
∉
A

c)

A
⊃
9

d)

9
∈
A

e)

9
⊂
A

(i)

{b,a}
(ii)

{a,d}
(iii)

{c,d}
(iv)

{c,d,a}
(v)

{e,b,a}

Question 12

12.

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

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

(i)

{d,e,b}
(ii)

{c,b}
(iii)

{a,b}
(iv)

{b}

Question 13

13.

If A = {g,j,y,z,r}, which of the following are true?

a)

A
⊃
z

b)

{g,y}
⊂
A

c)

z
∉
A

d)

z
⊂
A

e)

z
∈
A

(i)

{c,e}
(ii)

{b,e}
(iii)

{c,e,b}
(iv)

{d,a,b}
(v)

{a,b}

Question 14

14.

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)

{a,c,e}
(ii)

{c,d}
(iii)

{a,b,d}
(iv)

{a,b}
(v)

{b,d,e}

Question 15

15.

Which of the following are true?

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

(i)

{b,d,c}
(ii)

{a,c}
(iii)

{e,a,c}
(iv)

{c,d}
(v)

{b,d}

Question 16

16.

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,b}
(ii)

{c,b}
(iii)

{b}
(iv)

{a,b}

Question 17

17.

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

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

(i)

{b,e}
(ii)

{c,e}
(iii)

{a,b}
(iv)

{d,a,b}
(v)

{c,e,b}

Question 18

18.

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

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

(i)

{a,c}
(ii)

{d,e,c}
(iii)

{c}
(iv)

{b,c}

Question 19

19.

D =
{15,11,12,16,18,17,14}
and E =
{7,2,1,3,5,8,6,4,10,9}
,

which of the following are true?

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

(i)

{a,e}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{c,e,a}
(v)

{b,a}

Question 20

20.

Which of the following are disjoint sets?

(i)
{14,6,17,19,10,7}

,

{11,19,14,3,18,7}
(ii)
{6,17,10}

,

{11,3,18}
(iii)
{14,6,17,19,10,7}

,

{}
(iv)
{14,6,17,19,10,7}

,

{14,6,17,19,10,7}
(v)
{}

,

{14,6,17,19,10,7}

Question 21

21.

Which of the following are overlapping sets?

(i)
{3,11,8,14,20,13}

,

{16,6,14,1,11,13}
(ii)
{3,8,20}

,

{16,6,14,1,11,13}
(iii)
{3,8,20}

,

{16,6,1}
(iv)
{3,11,8,14,20,13}

,

{16,6,1}
(v)
{3,11,8,14,20,13}

,

{}

Question 22

22.

Which of the following elements belong to the set {4,5,8,3,10}?

(i)

(-4)
(ii)

10
(iii)

11
(iv)

(-5)
(v)

12

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 {3,5,6,8,1}?

(i)

1
(ii)

8
(iii)

7
(iv)

5
(v)

3

Question 39

39.

Which of the following elements does not belong to the set {t,f,g,a,x}

(i)

x
(ii)

k
(iii)

g
(iv)

t
(v)

f

Question 40

40.

Which of the following is not equal to set A = {7,4,6,3,1,8,9,10}?

(i)

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

{1,3,4,8,7,9,6,10}
(iii)

{6,1,9,3,10,8,7,4}
(iv)

{4,8,7,10,3,6,1,9}
(v)

{9,10,7,4,1,3,8,6}

Question 41

41.

Which of the following is an empty set?

(i)

{empty}
(ii)

{∅}
(iii)

{o}
(iv)

{0}
(v)

{}

Question 42

42.

Which of the following is a null set?

(i)

{o}
(ii)

{∅}
(iii)

∅
(iv)

{0}
(v)

{empty}

Question 43

43.

Which of the following are null sets?

a)

{∅}

b)

{empty}

c)

{6,3,4}

d)

{}

e)

∅

(i)

{b,e,d}
(ii)

{d,e}
(iii)

{b,e}
(iv)

{a,d}
(v)

{c,a,d}

Question 44

44.

Which of the following sets are not equivalent to set {4,9,8,6}?

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

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{d,b,a}
(iv)

{c,a}
(v)

{a,b}

Question 45

45.

Which of the following are equivalent sets?

a)

{-7,-4,8,3,9,-8,-6,6,4}

b)

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

c)

{6,-2,4,2,-9,-1}

d)

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

e)

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

(i)

{d,a,b}
(ii)

{c,e}
(iii)

{c,e,b}
(iv)

{b,e}
(v)

{a,b}

Question 46

46.

Which of the following sets have same cardinality?

a)

{1,-9,6,-6,-2,-4}

b)

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

c)

{2,6,1,-4,4,-1,-9,9}

d)

{0,-8,-9,6,-5}

e)

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

(i)

{c,a}
(ii)

{a,b}
(iii)

{e,c,a}
(iv)

{d,b,a}
(v)

{d,b}

Question 47

47.

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

(i)

{9,1,-9,7,2}
(ii)

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

{9,3,1,5,-9,2}
(iv)

μ
(v)

{∅}

Question 48

48.

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

(i)

∅
(ii)

{-1,1,-2,-3,-4}
(iii)

μ
(iv)

{∅}
(v)

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

Question 49

49.

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

(i)

{3,2,0}
(ii)

{2,4,3}
(iii)

{3,5}
(iv)

{4,2}
(v)

{2,1}

Question 50

50.

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

(i)

6
(ii)

5
(iii)

8
(iv)

10
(v)

7

Question 51

51.

What is the cardinality of an empty set?

(i)

0
(ii)

4
(iii)

3
(iv)

1
(v)

(-1)

Question 52

52.

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

(i)

R
(ii)

Z
(iii)

W
(iv)

Q'
(v)

N

Question 53

53.

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

(i)

Z
(ii)

W
(iii)

N
(iv)

Q
(v)

Q'

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

W
(ii)

Q'
(iii)

R
(iv)

Q
(v)

Z

Question 55

55.

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

(i)

Q'
(ii)

R
(iii)

N
(iv)

Q
(v)

W

Question 56

56.

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

(i)

Q'
(ii)

Q
(iii)

Z
(iv)

W
(v)

N

Question 57

57.

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

(i)

Q
(ii)

R
(iii)

N
(iv)

Z
(v)

Q'

Assignment Key