EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {0,3}?

(i)

{3,5}
(ii)

{3,1}
(iii)

{1,2,5}
(iv)

{3}
(v)

{3,5,2}

Question 2

2.

Which of the following is a subset of A = {5,10,1,0,3}?

(i)

{7,0,3,1}
(ii)

{0,1,3}
(iii)

{4,7,9}
(iv)

{7,1,3,4,0}
(v)

{4,3,10,5,1}

Question 3

3.

Which of the following is a subset of A = {9,6,8,7,11}?

(i)

{9}
(ii)

{7,9,14,11,6}
(iii)

{14,2,15}
(iv)

{15,9,14}
(v)

{2,9}

Question 4

4.

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

(i)

4
(ii)

5
(iii)

2
(iv)

8
(v)

6

Question 5

5.

If A = {-8,0,-3}, then n(A) = ?

(i)

5
(ii)

4
(iii)

0
(iv)

3
(v)

2

Question 6

6.

Which of the following is a singleton set?

(i)

{8,7,3,4,9}
(ii)

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

{-5,-4}
(iv)

{-2}
(v)

{7,1,-6,0}

Question 7

7.

Which of the following is a null set?

(i)

{-5,-3}
(ii)

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

{5,-9,7,-7,3}
(iv)

{6,-2,8}
(v)

{}

Question 8

8.

Which of the following is equal to set A = {7,5}?

(i)

{7,0}
(ii)

{4,0,-2}
(iii)

{0,-8}
(iv)

{-6}
(v)

{5,7}

Question 9

9.

Which of the following is equivalent set of A = {7,8,9,-9}?

(i)

{9,3}
(ii)

{-2,-1,-7,3}
(iii)

{7,8,-9}
(iv)

{-2,-1,-7,3,9}
(v)

{6,1,-4,-5,0,8}

Question 10

10.

Which of the following is an infinite set?

(i)

{-5,4,9}
(ii)

{}
(iii)

{-6,4}
(iv)

{7}
(v)

{0,1,2,...}

Question 11

11.

If A = {8,2,1,6,3}, which of the following are true?

a)

6
∈
A

b)

6
∉
A

c)

A
⊃
6

d)

6
⊂
A

e)

{2,3}
⊂
A

(i)

{c,e}
(ii)

{d,b,a}
(iii)

{c,e,a}
(iv)

{a,e}
(v)

{b,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)	A ⊂ B
d)	A ∪ B = A
e)	B ⊂ A

(i)

{a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{b,a}

Question 13

13.

If A = {a,q,k,l,p}, which of the following are true?

a)

l
∉
A

b)

{l}
⊂
A

c)

A
⊃
l

d)

l
∈
A

e)

l
⊂
A

(i)

{c,d,b}
(ii)

{b,d}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{c,d}

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)	B ⊃ A
d)	C ⊃ B
e)	C ⊂ A

(i)

{b,c,d}
(ii)

{e,c}
(iii)

{a,e,d}
(iv)

{a,b,c}
(v)

{a,b}

Question 15

15.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{a,d}
(iii)

{c,d,a}
(iv)

{b,a}
(v)

{c,d}

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)

{d,e,a}
(ii)

{a}
(iii)

{c,a}
(iv)

{b,a}

Question 17

17.

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

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

(i)

{b,d}
(ii)

{e,a,c}
(iii)

{b,d,c}
(iv)

{c,d}
(v)

{a,c}

Question 18

18.

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

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

(i)

{b,d}
(ii)

{a,d}
(iii)

{c,e,d}
(iv)

{d}

Question 19

19.

D =
{17,18,11,15,13,16,12}
and E =
{4,8,6,10,9,3,2,1,5,7}
,

which of the following are true?

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

(i)

{a,c,e}
(ii)

{b,d,e}
(iii)

{a,b}
(iv)

{c,d}
(v)

{a,b,d}

Question 20

20.

Which of the following are disjoint sets?

(i)
{3,11,16,5,19,2}

,

{8,7,10,2,13}
(ii)
{3,11,16,5,19,2}

,

{3,11,16,5,19,2}
(iii)
{}

,

{3,11,16,5,19,2}
(iv)
{3,11,16,5,19,2}

,

{}
(v)
{3,11,16,5,19}

,

{8,7,10,2,13}

Question 21

21.

Which of the following are overlapping sets?

(i)
{19,3,12,20,17}

,

{5,10,2,13,4,12,19,3}
(ii)
{19,3,12,20,17}

,

{}
(iii)
{19,3,12,20,17}

,

{5,10,2,13,4}
(iv)
{20,17}

,

{5,10,2,13,4,12,19,3}
(v)
{20,17}

,

{5,10,2,13,4}

Question 22

22.

Which of the following elements belong to the set {2,4,8,7,3}?

(i)

12
(ii)

7
(iii)

(-5)
(iv)

13
(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 {3,7,10,9,5}?

(i)

4
(ii)

9
(iii)

3
(iv)

5
(v)

10

Question 39

39.

Which of the following elements does not belong to the set {l,x,k,g,s}

(i)

g
(ii)

z
(iii)

l
(iv)

x
(v)

s

Question 40

40.

Which of the following is not equal to set A = {0,10,3,7,2,9,4}?

(i)

{10,0,7,3,9,4,2}
(ii)

{2,9,10,6,0,4,3}
(iii)

{9,7,0,2,10,3,4}
(iv)

{0,3,2,7,10,9,4}
(v)

{7,4,2,3,9,10,0}

Question 41

41.

Which of the following is an empty set?

(i)

{empty}
(ii)

{0}
(iii)

{∅}
(iv)

{}
(v)

{o}

Question 42

42.

Which of the following is a null set?

(i)

{empty}
(ii)

{∅}
(iii)

{0}
(iv)

{o}
(v)

∅

Question 43

43.

Which of the following are null sets?

a)

{}

b)

{2,4,1}

c)

{∅}

d)

{empty}

e)

∅

(i)

{c,e,a}
(ii)

{b,a}
(iii)

{c,e}
(iv)

{a,e}
(v)

{d,b,a}

Question 44

44.

Which of the following sets are not equivalent to set {8,7,3,10}?

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

(i)

{b,e}
(ii)

{c,e}
(iii)

{d,a,b}
(iv)

{c,e,b}
(v)

{a,b}

Question 45

45.

Which of the following are equivalent sets?

a)

{-5,-4,2,5,9,1,-8,-3,7}

b)

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

c)

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

d)

{-1,-6,5,-3,7,1,4}

e)

{2,5,-7,-2,-9,6,0}

(i)

{b,e,d}
(ii)

{b,e}
(iii)

{a,d}
(iv)

{c,a,d}
(v)

{d,e}

Question 46

46.

Which of the following sets have same cardinality?

a)

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

b)

{0,6,-5,9,-4,1}

c)

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

d)

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

e)

{-6,-9,0,3}

(i)

{b,d,c}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{a,c}
(v)

{e,a,c}

Question 47

47.

Which of the following is a subset of set A = {6,2,-3,7,3}?

(i)

{2,3,-3,6,7}
(ii)

{-3,7,1,2,6}
(iii)

μ
(iv)

{∅}
(v)

{-4,-3,3,7,6,2}

Question 48

48.

Which of the following is a subset of set A = {-2,7,-6,6,5}?

(i)

μ
(ii)

{∅}
(iii)

∅
(iv)

{-6,6,-5,-2,7,5}
(v)

{8,-2,-6,7,6}

Question 49

49.

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

(i)

{5,1,0}
(ii)

{5,2}
(iii)

{1,4}
(iv)

{4,1,5}
(v)

{5,3}

Question 50

50.

Find the number of proper subsets of A = {4,2,0,3}

(i)

17
(ii)

15
(iii)

13
(iv)

16
(v)

14

Question 51

51.

What is the cardinality of an empty set?

(i)

4
(ii)

0
(iii)

1
(iv)

2
(v)

6

Question 52

52.

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

(i)

N
(ii)

W
(iii)

R
(iv)

Z
(v)

Q

Question 53

53.

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

(i)

W
(ii)

R
(iii)

Z
(iv)

Q
(v)

Q'

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

Z
(ii)

W
(iii)

Q
(iv)

R
(v)

Q'

Question 55

55.

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

(i)

Q'
(ii)

W
(iii)

Q
(iv)

Z
(v)

R

Question 56

56.

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

(i)

Q'
(ii)

Z
(iii)

W
(iv)

N
(v)

Q

Question 57

57.

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

(i)

Q
(ii)

R
(iii)

Q'
(iv)

W
(v)

Z

Assignment Key