EduSahara™ Worksheet

Question 1

1.

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

(i)

{3,2,1}
(ii)

{1}
(iii)

{1,3}
(iv)

{5,4}
(v)

{2,3,5}

Question 2

2.

Which of the following is a subset of A = {10,8,4,3,0,6,2}?

(i)

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

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

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

{9,7,5}
(v)

{6,10,0,2,3,8,5}

Question 3

3.

Which of the following is a subset of A = {7,2,6,3,8,12,14,0,9}?

(i)

{2,12,13,4,14,0}
(ii)

{13,10,4}
(iii)

{0,10,2,14,12}
(iv)

{0,14,2,12}
(v)

{6,12,10,0,3,9,7,8,2}

Question 4

4.

Find the cardinality of A = {-8,7}

(i)

(-1)
(ii)

3
(iii)

1
(iv)

5
(v)

2

Question 5

5.

If A = {-8,-3,2,1,-4,-6,-1,-2}, then n(A) = ?

(i)

8
(ii)

6
(iii)

9
(iv)

10
(v)

7

Question 6

6.

Which of the following is a singleton set?

(i)

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

{9,2}
(iii)

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

{2}
(v)

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

Question 7

7.

Which of the following is a null set?

(i)

{}
(ii)

{-1,5,1,-3}
(iii)

{1,5,-1,3,-8}
(iv)

{-6,-1}
(v)

{-3,5,9}

Question 8

8.

Which of the following is equal to set A = {5,-3,7,0,1,4}?

(i)

{5,-3,4,7,0,1}
(ii)

{-6,-3,5,-7,-1}
(iii)

{5,-2,-4,-5,8,6,0}
(iv)

{5,-3,7,1,4,-7}
(v)

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

Question 9

9.

Which of the following is equivalent set of A = {7,1,8,-2,-6}?

(i)

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

{-1,8,4}
(iii)

{7,1,-2,-6}
(iv)

{-3,-7,3,-9,-1}
(v)

{-3,-7,3,-9,-1,8}

Question 10

10.

Which of the following is an infinite set?

(i)

{}
(ii)

{-9}
(iii)

{-5,-1}
(iv)

{-2,-3,-7}
(v)

{0,1,2,3,4,...}

Question 11

11.

If A = {10,5,1,7,4}, which of the following are true?

a)

A
⊃
10

b)

10
⊂
A

c)

10
∉
A

d)

{7,4}
⊂
A

e)

10
∈
A

(i)

{b,e,d}
(ii)

{a,d}
(iii)

{c,a,d}
(iv)

{b,e}
(v)

{d,e}

Question 12

12.

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

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

(i)

{b,a}
(ii)

{c,a}
(iii)

{a}
(iv)

{d,e,a}

Question 13

13.

If A = {e,j,r,i,p}, which of the following are true?

a)

p
∈
A

b)

{e,i}
⊂
A

c)

A
⊃
p

d)

p
∉
A

e)

p
⊂
A

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{a,b}
(iv)

{c,a}
(v)

{d,b,a}

Question 14

14.

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

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

(i)

{e,b}
(ii)

{d,e,c}
(iii)

{d,a,b}
(iv)

{a,b,c}
(v)

{d,a}

Question 15

15.

Which of the following are true?

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

(i)

{c,d,b}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{b,d}
(v)

{e,a,b}

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)

{a,b}
(ii)

{c,b}
(iii)

{b}
(iv)

{d,e,b}

Question 17

17.

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

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

(i)

{b,d,c}
(ii)

{a,c}
(iii)

{e,a,c}
(iv)

{c,d}
(v)

{b,d}

Question 18

18.

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

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

(i)

{a,d}
(ii)

{b,d}
(iii)

{d}
(iv)

{c,e,d}

Question 19

19.

D =
{13,14,19,11,16,17,15}
and E =
{1,5,2,8,9,10,6,4,3,7}
,

which of the following are true?

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

(i)

{d,a,c}
(ii)

{a,c}
(iii)

{b,e}
(iv)

{b,e,c}
(v)

{c,e}

Question 20

20.

Which of the following are disjoint sets?

(i)
{16,2,20,11,19,5}

,

{16,2,20,11,19,5}
(ii)
{16,2,20,11,19,5}

,

{5,14,20,9,4}
(iii)
{16,2,11,19}

,

{5,14,9,4}
(iv)
{}

,

{16,2,20,11,19,5}
(v)
{16,2,20,11,19,5}

,

{}

Question 21

21.

Which of the following are overlapping sets?

(i)
{4,3,10,1,2,13}

,

{}
(ii)
{4,3,10,1,2,13}

,

{7,1,4,8,11,13}
(iii)
{3,10,2}

,

{7,8,11}
(iv)
{3,10,2}

,

{7,1,4,8,11,13}
(v)
{4,3,10,1,2,13}

,

{7,8,11}

Question 22

22.

Which of the following elements belong to the set {4,8,7,5,2}?

(i)

(-3)
(ii)

8
(iii)

12
(iv)

11
(v)

(-4)

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 {4,9,7,6,10}?

(i)

7
(ii)

10
(iii)

9
(iv)

4
(v)

3

Question 39

39.

Which of the following elements does not belong to the set {l,n,u,d,k}

(i)

n
(ii)

u
(iii)

l
(iv)

c
(v)

k

Question 40

40.

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

(i)

{4,1,6,9,0}
(ii)

{4,0,6,2,9}
(iii)

{9,1,4,0,6}
(iv)

{9,0,4,6,1}
(v)

{4,6,0,1,9}

Question 41

41.

Which of the following is an empty set?

(i)

{∅}
(ii)

{0}
(iii)

{empty}
(iv)

{o}
(v)

{}

Question 42

42.

Which of the following is a null set?

(i)

{0}
(ii)

{∅}
(iii)

∅
(iv)

{empty}
(v)

{o}

Question 43

43.

Which of the following are null sets?

a)

∅

b)

{empty}

c)

{∅}

d)

{}

e)

{2,8,1}

(i)

{c,d}
(ii)

{a,d}
(iii)

{e,b,a}
(iv)

{c,d,a}
(v)

{b,a}

Question 44

44.

Which of the following sets are not equivalent to set {6,8,5,3}?

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

(i)

{a,c}
(ii)

{b,d}
(iii)

{e,a,c}
(iv)

{c,d}
(v)

{b,d,c}

Question 45

45.

Which of the following are equivalent sets?

a)

{9,-1,7,5,-4,4}

b)

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

c)

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

d)

{0,-9,9}

e)

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

(i)

{b,e}
(ii)

{a,b}
(iii)

{d,a,b}
(iv)

{c,e}
(v)

{c,e,b}

Question 46

46.

Which of the following sets have same cardinality?

a)

{6,8,9,-5,-3,7,4,-6}

b)

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

c)

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

d)

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

e)

{6,2,-1,-3,-9,0,-7}

(i)

{e,a,b}
(ii)

{c,d,b}
(iii)

{b,d}
(iv)

{a,b}
(v)

{c,d}

Question 47

47.

Which of the following is a subset of set A = {-1,-7,7,-4,5}?

(i)

{5,-1,7,-7,-4,-8}
(ii)

{-1,-7,5,7,-4}
(iii)

{∅}
(iv)

{5,-1,7,-6,-7}
(v)

μ

Question 48

48.

Which of the following is a subset of set A = {-6,6,9,-1,-8}?

(i)

{9,1,-8,-1,6,-6}
(ii)

μ
(iii)

∅
(iv)

{-8,6,-1,7,9}
(v)

{∅}

Question 49

49.

Which of the following is a proper subset of A = {0,2,4}?

(i)

{1,4}
(ii)

{0,2,4}
(iii)

{3,4,0}
(iv)

{2,0}
(v)

{5,4}

Question 50

50.

Find the number of proper subsets of A = {5}

(i)

2
(ii)

(-1)
(iii)

4
(iv)

1
(v)

0

Question 51

51.

What is the cardinality of an empty set?

(i)

4
(ii)

0
(iii)

8
(iv)

3
(v)

6

Question 52

52.

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

(i)

N
(ii)

Q
(iii)

R
(iv)

Z
(v)

Q'

Question 53

53.

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

(i)

Z
(ii)

R
(iii)

N
(iv)

Q'
(v)

W

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

N
(ii)

Q
(iii)

Q'
(iv)

W
(v)

Z

Question 55

55.

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

(i)

Z
(ii)

Q
(iii)

R
(iv)

W
(v)

N

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)

Z
(ii)

Q'
(iii)

N
(iv)

R
(v)

Q

Assignment Key