EduSahara™ Worksheet

Question 1

1.

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

(i)

{0}
(ii)

{0,5}
(iii)

{1,2,0}
(iv)

{4,0,5}
(v)

{}

Question 2

2.

Which of the following is a subset of A = {10,6,9,7,3}?

(i)

{8,2}
(ii)

{2,1,8}
(iii)

{7,10,1,9,6}
(iv)

{}
(v)

{1}

Question 3

3.

Which of the following is a subset of A = {4,15,1,6,11,10,8}?

(i)

{6,10,0,3,4,8}
(ii)

{2,0,3}
(iii)

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

{1,6,8,15,0,10,11}
(v)

{4,10,8,6}

Question 4

4.

Find the cardinality of A = {8,6,5,-4,-5,-6,-9,1,7}

(i)

9
(ii)

8
(iii)

10
(iv)

11
(v)

6

Question 5

5.

If A = {4,5,1}, then n(A) = ?

(i)

2
(ii)

6
(iii)

3
(iv)

1
(v)

4

Question 6

6.

Which of the following is a singleton set?

(i)

{1}
(ii)

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

{8,-5,1}
(iv)

{-6,-1}
(v)

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

Question 7

7.

Which of the following is a null set?

(i)

{-3,-8,1,7}
(ii)

{-6,-3}
(iii)

{7,-8,1,5,6}
(iv)

{}
(v)

{-2,-9,-1}

Question 8

8.

Which of the following is equal to set A = {1,-4,9}?

(i)

{-9,-3,5}
(ii)

{-4,9,1}
(iii)

{7,-6}
(iv)

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

{1,-4,-9}

Question 9

9.

Which of the following is equivalent set of A = {7,3,-8,8}?

(i)

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

{-1,-4,-6,6,-8}
(iii)

{9,-4,-2,-8,4,5}
(iv)

{7,3,8}
(v)

{0,2}

Question 10

10.

Which of the following is an infinite set?

(i)

{-6,-2}
(ii)

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

{}
(iv)

{5,9,6}
(v)

{-4}

Question 11

11.

If A = {5,4,9,6,7}, which of the following are true?

a)

6
∈
A

b)

{7,6}
⊂
A

c)

6
∉
A

d)

A
⊃
6

e)

6
⊂
A

(i)

{e,c,a}
(ii)

{c,a}
(iii)

{d,b,a}
(iv)

{d,b}
(v)

{a,b}

Question 12

12.

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

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

(i)

{a,d}
(ii)

{c,e,d}
(iii)

{d}
(iv)

{b,d}

Question 13

13.

If A = {q,n,h,u,v}, which of the following are true?

a)

h
∉
A

b)

A
⊃
h

c)

{v,q}
⊂
A

d)

h
∈
A

e)

h
⊂
A

(i)

{e,a,c}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{c,d}
(v)

{b,d,c}

Question 14

14.

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

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

(i)

{a,b,c}
(ii)

{d,c}
(iii)

{a,d,e}
(iv)

{b,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 ∪ ∅ = ∅
e)	A ∪ A = A

(i)

{d,b,a}
(ii)

{c,e,a}
(iii)

{c,e}
(iv)

{b,a}
(v)

{a,e}

Question 16

16.

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

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

(i)

{d,e,c}
(ii)

{c}
(iii)

{a,c}
(iv)

{b,c}

Question 17

17.

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

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

(i)

{c,e,b}
(ii)

{d,a,b}
(iii)

{b,e}
(iv)

{a,b}
(v)

{c,e}

Question 18

18.

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

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

(i)

{a,c}
(ii)

{c}
(iii)

{b,c}
(iv)

{d,e,c}

Question 19

19.

D =
{18,11,16,12,13,17,19}
and E =
{6,2,1,8,10,5,4,7,9,3}
,

which of the following are true?

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

(i)

{b,d}
(ii)

{e,a,c}
(iii)

{b,d,c}
(iv)

{c,d}
(v)

{a,c}

Question 20

20.

Which of the following are disjoint sets?

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

,

{9,8,1,16}
(ii)
{10,7,12,17,19,4}

,

{9,8,1,12,16,4}
(iii)
{10,7,12,17,19,4}

,

{}
(iv)
{}

,

{10,7,12,17,19,4}
(v)
{10,7,12,17,19,4}

,

{10,7,12,17,19,4}

Question 21

21.

Which of the following are overlapping sets?

(i)
{8,12,5,1,19,15,17}

,

{4,3,2,9}
(ii)
{8,12,5,1,19,15,17}

,

{4,3,2,17,9,8,15}
(iii)
{12,5,1,19}

,

{4,3,2,17,9,8,15}
(iv)
{12,5,1,19}

,

{4,3,2,9}
(v)
{8,12,5,1,19,15,17}

,

{}

Question 22

22.

Which of the following elements belong to the set {5,6,3,7,1}?

(i)

(-5)
(ii)

3
(iii)

(-4)
(iv)

13
(v)

14

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)

μ
(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 {5,8,9,4,7}?

(i)

6
(ii)

9
(iii)

8
(iv)

4
(v)

5

Question 39

39.

Which of the following elements does not belong to the set {a,p,o,t,b}

(i)

o
(ii)

b
(iii)

g
(iv)

p
(v)

a

Question 40

40.

Which of the following is not equal to set A = {1,7,6,5,10,3,9}?

(i)

{9,5,6,7,1,10,3}
(ii)

{6,9,7,5,10,3,1}
(iii)

{5,9,3,1,6,10,7}
(iv)

{2,9,5,3,10,6,7}
(v)

{3,6,10,5,7,9,1}

Question 41

41.

Which of the following is an empty set?

(i)

{o}
(ii)

{0}
(iii)

{}
(iv)

{empty}
(v)

{∅}

Question 42

42.

Which of the following is a null set?

(i)

{o}
(ii)

{empty}
(iii)

{0}
(iv)

{∅}
(v)

∅

Question 43

43.

Which of the following are null sets?

a)

{∅}

b)

{empty}

c)

∅

d)

{4,6,2}

e)

{}

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{b,e,c}
(iv)

{a,c}
(v)

{c,e}

Question 44

44.

Which of the following sets are not equivalent to set {5,4,6,10,8}?

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

(i)

{a,c}
(ii)

{c,e}
(iii)

{b,e,c}
(iv)

{d,a,c}
(v)

{b,e}

Question 45

45.

Which of the following are equivalent sets?

a)

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

b)

{-9,9,8}

c)

{4,-6,-2}

d)

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

e)

{7,-5}

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{d,c,b}
(v)

{d,c}

Question 46

46.

Which of the following sets have same cardinality?

a)

{-2,-8,-7,6,7,-5,-1,4,5}

b)

{1,9,5,8,2,-3,-9,3}

c)

{-1,1,9,0,3,-3,-5}

d)

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

e)

{-6,2,8,-8,-4,3,1}

(i)

{c,e}
(ii)

{d,a,c}
(iii)

{a,c}
(iv)

{b,e}
(v)

{b,e,c}

Question 47

47.

Which of the following is a subset of set A = {6,1,-5,0,5}?

(i)

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

{∅}
(iii)

{4,5,1,0,6,-5}
(iv)

{6,1,0,-5,5}
(v)

μ

Question 48

48.

Which of the following is a subset of set A = {2,8,0,6,-9}?

(i)

μ
(ii)

{7,2,6,-9,8}
(iii)

{6,8,2,0,-9,-1}
(iv)

{∅}
(v)

∅

Question 49

49.

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

(i)

{3,4,0}
(ii)

{1,0}
(iii)

{0,4}
(iv)

{4,0,2}
(v)

{2,5}

Question 50

50.

Find the number of proper subsets of A = {4,2,5}

(i)

7
(ii)

10
(iii)

8
(iv)

5
(v)

6

Question 51

51.

What is the cardinality of an empty set?

(i)

6
(ii)

2
(iii)

0
(iv)

1
(v)

4

Question 52

52.

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

(i)

N
(ii)

Z
(iii)

Q
(iv)

Q'
(v)

R

Question 53

53.

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

(i)

W
(ii)

N
(iii)

Q'
(iv)

R
(v)

Q

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

N
(ii)

Z
(iii)

Q'
(iv)

R
(v)

Q

Question 55

55.

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

(i)

W
(ii)

Z
(iii)

R
(iv)

Q'
(v)

Q

Question 56

56.

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

(i)

Q'
(ii)

Z
(iii)

R
(iv)

Q
(v)

N

Question 57

57.

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

(i)

W
(ii)

Z
(iii)

N
(iv)

Q'
(v)

R

Assignment Key