EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {4,0,1}?

(i)

{3,4,5,1}
(ii)

{0,4,2}
(iii)

{1,2,4}
(iv)

{2,3,5}
(v)

{4,1}

Question 2

2.

Which of the following is a subset of A = {3,6,7,0,1,10}?

(i)

{0,10}
(ii)

{8,10,3,0,1,7}
(iii)

{5,9,8}
(iv)

{9,0,10}
(v)

{10,5,0,9}

Question 3

3.

Which of the following is a subset of A = {2,4,15,7,8}?

(i)

{8,15}
(ii)

{1,15,13,8}
(iii)

{13,12,1}
(iv)

{1,15,8}
(v)

{15,2,8,7,13}

Question 4

4.

Find the cardinality of A = {0,-5,5}

(i)

5
(ii)

0
(iii)

4
(iv)

3
(v)

2

Question 5

5.

If A = {8,3,-9,-6,-8,7,-2,6,4}, then n(A) = ?

(i)

12
(ii)

6
(iii)

10
(iv)

8
(v)

9

Question 6

6.

Which of the following is a singleton set?

(i)

{-2}
(ii)

{-5,8,9}
(iii)

{-4,0,-8,5}
(iv)

{4,-6,-4,0,3}
(v)

{1,5}

Question 7

7.

Which of the following is a null set?

(i)

{}
(ii)

{3,-1,5}
(iii)

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

{-4,3}
(v)

{6,4,-5,5,-8}

Question 8

8.

Which of the following is equal to set A = {3,9,4,-2,-5,-8}?

(i)

{3,-5,4,9,-8,-2}
(ii)

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

{2,-8,0,-3,9,8,-1}
(iv)

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

{9,4,-2,-5,-8,6}

Question 9

9.

Which of the following is equivalent set of A = {7,6,-4,8,-1,-7}?

(i)

{3,8,4,-1,6,1,5,-5}
(ii)

{-6,0,-2,-4}
(iii)

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

{7,6,-4,-1,-7}
(v)

{-2,-6,2,3,-5,0,8}

Question 10

10.

Which of the following is an infinite set?

(i)

{}
(ii)

{1,9}
(iii)

{2}
(iv)

{-9,-5,4}
(v)

{0,1,...}

Question 11

11.

If A = {2,4,1,5,10}, which of the following are true?

a)

5
∈
A

b)

5
∉
A

c)

5
⊂
A

d)

A
⊃
5

e)

{5,1}
⊂
A

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{d,b,a}
(v)

{a,e}

Question 12

12.

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

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

(i)

{d,e,a}
(ii)

{c,a}
(iii)

{a}
(iv)

{b,a}

Question 13

13.

If A = {j,u,k,w,q}, which of the following are true?

a)

q
∉
A

b)

q
∈
A

c)

A
⊃
q

d)

{w,u}
⊂
A

e)

q
⊂
A

(i)

{c,d}
(ii)

{b,d}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{c,d,b}

Question 14

14.

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

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

(i)

{a,c}
(ii)

{b,d}
(iii)

{a,b,e}
(iv)

{a,c,d}
(v)

{c,d,e}

Question 15

15.

Which of the following are true?

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

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{a,c}
(iv)

{d,c}
(v)

{d,c,a}

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)

{a,e}
(ii)

{b,e}
(iii)

{e}
(iv)

{c,d,e}

Question 17

17.

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

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

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{d,c,b}
(v)

{d,c}

Question 18

18.

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

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

(i)

{b,d}
(ii)

{d}
(iii)

{c,e,d}
(iv)

{a,d}

Question 19

19.

D =
{15,12,11,13,19,14,16}
and E =
{3,10,7,8,9,5,6,4,2,1}
,

which of the following are true?

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

(i)

{a,b}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{c,e,b}
(v)

{d,a,b}

Question 20

20.

Which of the following are disjoint sets?

(i)
{8,1,2,15,6,5}

,

{8,1,2,15,6,5}
(ii)
{}

,

{8,1,2,15,6,5}
(iii)
{8,1,2,15,6,5}

,

{5,20,6,4,2}
(iv)
{8,1,2,15,6,5}

,

{}
(v)
{8,1,15}

,

{5,20,4}

Question 21

21.

Which of the following are overlapping sets?

(i)
{3,7,10,6,11,5,15}

,

{15,9,17,19,11,5}
(ii)
{3,7,10,6,11,5,15}

,

{}
(iii)
{3,7,10,6,11,5,15}

,

{9,17,19}
(iv)
{3,7,10,6}

,

{9,17,19}
(v)
{3,7,10,6}

,

{15,9,17,19,11,5}

Question 22

22.

Which of the following elements belong to the set {9,3,6,5,4}?

(i)

14
(ii)

(-5)
(iii)

15
(iv)

(-4)
(v)

3

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)

↔
(ii)

⊂
(iii)

⊇
(iv)

μ
(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 {7,5,8,3,10}?

(i)

6
(ii)

5
(iii)

3
(iv)

8
(v)

7

Question 39

39.

Which of the following elements does not belong to the set {u,f,a,d,m}

(i)

a
(ii)

v
(iii)

f
(iv)

m
(v)

d

Question 40

40.

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

(i)

{10,8,4,3,9}
(ii)

{3,7,8,4,10}
(iii)

{8,4,10,3,9}
(iv)

{4,10,8,3,9}
(v)

{8,10,4,9,3}

Question 41

41.

Which of the following is an empty set?

(i)

{∅}
(ii)

{empty}
(iii)

{}
(iv)

{0}
(v)

{o}

Question 42

42.

Which of the following is a null set?

(i)

{0}
(ii)

{empty}
(iii)

∅
(iv)

{∅}
(v)

{o}

Question 43

43.

Which of the following are null sets?

a)

{}

b)

{∅}

c)

∅

d)

{3,7,2}

e)

{empty}

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{a,c}

Question 44

44.

Which of the following sets are not equivalent to set {10,6,4,1}?

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

(i)

{b,c}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{d,c,b}
(v)

{d,c}

Question 45

45.

Which of the following are equivalent sets?

a)

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

b)

{-6,8,-7,-9,-3,-8,5}

c)

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

d)

{-8,3,-2,8,-4,1,5,-3}

e)

{7,-1,-8,-6,2,5,9}

(i)

{a,b}
(ii)

{c,e}
(iii)

{c,e,b}
(iv)

{b,e}
(v)

{d,a,b}

Question 46

46.

Which of the following sets have same cardinality?

a)

{8,7,-8,3}

b)

{-2,2,8,-1,1}

c)

{-1,7,6,2,-2,1}

d)

{-4,-9,4,9,-1,5,-6}

e)

{3,-9,1,4,8}

(i)

{b,e}
(ii)

{d,a,b}
(iii)

{c,e}
(iv)

{a,b}
(v)

{c,e,b}

Question 47

47.

Which of the following is a subset of set A = {-2,-3,-6,2,4}?

(i)

{5,-6,-2,2,4,-3}
(ii)

μ
(iii)

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

{∅}
(v)

{0,-2,-6,2,-3}

Question 48

48.

Which of the following is a subset of set A = {7,1,-9,-6,6}?

(i)

{-9,7,1,9,6,-6}
(ii)

μ
(iii)

{∅}
(iv)

∅
(v)

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

Question 49

49.

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

(i)

{1,3}
(ii)

{0,2}
(iii)

{3,2}
(iv)

{3,2,4}
(v)

{5,4,3}

Question 50

50.

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

(i)

16
(ii)

15
(iii)

14
(iv)

12
(v)

18

Question 51

51.

What is the cardinality of an empty set?

(i)

1
(ii)

(-1)
(iii)

0
(iv)

4
(v)

3

Question 52

52.

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

(i)

Z
(ii)

Q
(iii)

W
(iv)

R
(v)

N

Question 53

53.

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

(i)

Q'
(ii)

N
(iii)

Z
(iv)

R
(v)

W

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

R
(ii)

Z
(iii)

Q
(iv)

N
(v)

W

Question 55

55.

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

(i)

Z
(ii)

Q'
(iii)

N
(iv)

Q
(v)

W

Question 56

56.

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

(i)

Q
(ii)

W
(iii)

R
(iv)

Z
(v)

Q'

Question 57

57.

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

(i)

Q'
(ii)

Z
(iii)

R
(iv)

W
(v)

Q

Assignment Key