EduSahara™ Worksheet

Question 1

1.

Which of the following is a singleton set?

(i)

{5,2}
(ii)

{9}
(iii)

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

{-7,5,-4,6,-3}
(v)

{-5,6,-7,5}

Question 2

2.

Which of the following is a null set?

(i)

{-9,5,-3,6,3}
(ii)

{-7,-2,-5,7}
(iii)

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

{4,0}
(v)

{}

Question 3

3.

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

(i)

{5,3,6}
(ii)

{3,4}
(iii)

{-5,8,6}
(iv)

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

{3,9,5}

Question 4

4.

Which of the following is equivalent set of A = {-6,6}?

(i)

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

{9,-5}
(iii)

{}
(iv)

{9,-5,6}
(v)

{-6}

Question 5

5.

Which of the following is an infinite set?

(i)

{-1,-3}
(ii)

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

{-1}
(iv)

{}
(v)

{0,1,2,3,4,5,6,...}

Question 6

6.

If A = {10,9,5,2,4}, which of the following are true?

a)

A
⊃
4

b)

{5,9}
⊂
A

c)

4
∉
A

d)

4
⊂
A

e)

4
∈
A

(i)

{b,e}
(ii)

{d,a,b}
(iii)

{a,b}
(iv)

{c,e,b}
(v)

{c,e}

Question 7

7.

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

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

(i)

{a,c}
(ii)

{b,c}
(iii)

{c}
(iv)

{d,e,c}

Question 8

8.

If A = {v,i,j,z,q}, which of the following are true?

a)

A
⊃
q

b)

{j,i}
⊂
A

c)

q
∈
A

d)

q
∉
A

e)

q
⊂
A

(i)

{e,a,b}
(ii)

{d,c,b}
(iii)

{a,b}
(iv)

{b,c}
(v)

{d,c}

Question 9

9.

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

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

(i)

{d,c}
(ii)

{b,a}
(iii)

{a,c,e}
(iv)

{b,a,c}
(v)

{b,d,e}

Question 10

10.

Which of the following are true?

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

(i)

{b,e}
(ii)

{b,e,d}
(iii)

{c,a,d}
(iv)

{a,d}
(v)

{d,e}

Question 11

11.

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)

{c,d,e}
(ii)

{a,e}
(iii)

{e}
(iv)

{b,e}

Question 12

12.

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

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

(i)

{a,b}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{e,a,b}
(v)

{c,d,b}

Question 13

13.

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

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

(i)

{d,e,b}
(ii)

{b}
(iii)

{c,b}
(iv)

{a,b}

Question 14

14.

D =
{18,11,14,19,17,16,12}
and E =
{8,9,1,7,2,3,10,5,6,4}
,

which of the following are true?

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

(i)

{e,b}
(ii)

{c,e,d}
(iii)

{c,a,b}
(iv)

{c,a}
(v)

{a,b,d}

Question 15

15.

Which of the following are disjoint sets?

(i)
{}

,

{6,5,8,3,9}
(ii)
{6,5,8,3,9}

,

{}
(iii)
{6,5,8,3,9}

,

{13,20,2,14,7}
(iv)
{6,5,8,3,9}

,

{13,20,2,14,7,3}
(v)
{6,5,8,3,9}

,

{6,5,8,3,9}

Question 16

16.

Which of the following are overlapping sets?

(i)
{13,6,11}

,

{1,15}
(ii)
{16,13,3,6,11,14}

,

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

,

{16,14,1,3,15}
(iv)
{16,13,3,6,11,14}

,

{1,15}
(v)
{13,6,11}

,

{16,14,1,3,15}

Question 17

17.

Which of the following elements belong to the set {5,8,1,3,10}?

(i)

12
(ii)

11
(iii)

0
(iv)

3
(v)

(-1)

Question 18

18.

Which of the following is 'intersection' symbol?

(i)

∈
(ii)

⊅
(iii)

⊄
(iv)

∩
(v)

⊃

Question 19

19.

Which of the following is 'minus' symbol?

(i)

⊄
(ii)

∩
(iii)

∪
(iv)

−
(v)

∉

Question 20

20.

Which of the following is 'complement' symbol?

(i)

⊄
(ii)

∈
(iii)

'
(iv)

⊂
(v)

⊃

Question 21

21.

Which of the following is 'subset' symbol?

(i)

⊂
(ii)

⊆
(iii)

∪
(iv)

⊇
(v)

∩

Question 22

22.

Which of the following is 'subset or equal to' symbol?

(i)

∪
(ii)

∉
(iii)

∩
(iv)

∈
(v)

⊆

Question 23

23.

Which of the following is 'not a subset' symbol?

(i)

∉
(ii)

∩
(iii)

⊄
(iv)

∪
(v)

⊇

Question 24

24.

Which of the following is 'superset' symbol?

(i)

⊇
(ii)

⊆
(iii)

∉
(iv)

⊃
(v)

↔

Question 25

25.

Which of the following is 'superset or equal to' symbol?

(i)

⊅
(ii)

⊇
(iii)

∉
(iv)

⊂
(v)

⊃

Question 26

26.

Which of the following is 'not a superset' symbol?

(i)

∉
(ii)

⊆
(iii)

⊄
(iv)

⊅
(v)

⊂

Question 27

27.

Which of the following is 'equivalent set' symbol?

(i)

∪
(ii)

⊆
(iii)

∉
(iv)

↔
(v)

∈

Question 28

28.

Which of the following is 'belongs to' symbol?

(i)

∩
(ii)

⊅
(iii)

∈
(iv)

↔
(v)

⊆

Question 29

29.

Which of the following is 'does not belongs to' symbol?

(i)

⊅
(ii)

∈
(iii)

∪
(iv)

∉
(v)

⊃

Question 30

30.

Which of the following is 'universal set' symbol?

(i)

⊂
(ii)

μ
(iii)

∈
(iv)

∪
(v)

⊅

Question 31

31.

Which of the following is 'null set' symbol?

(i)

∪
(ii)

⊇
(iii)

∩
(iv)

⊂
(v)

∅

Question 32

32.

Which of the following elements does not belong to the set {8,4,6,1,2}?

(i)

8
(ii)

3
(iii)

1
(iv)

2
(v)

6

Question 33

33.

Which of the following elements does not belong to the set {m,z,i,r,n}

(i)

n
(ii)

j
(iii)

z
(iv)

i
(v)

r

Question 34

34.

Which of the following is not equal to set A = {9,3,0,8,7,10,1,2,5}?

(i)

{8,5,3,7,1,2,10,0,9}
(ii)

{5,8,2,1,3,9,7,0,10}
(iii)

{2,7,8,10,3,5,9,0,1}
(iv)

{3,10,2,5,7,1,9,0,8}
(v)

{10,7,5,4,0,8,1,2,3}

Question 35

35.

Which of the following is an empty set?

(i)

{∅}
(ii)

{0}
(iii)

{o}
(iv)

{}
(v)

{empty}

Question 36

36.

Which of the following is a null set?

(i)

∅
(ii)

{∅}
(iii)

{o}
(iv)

{0}
(v)

{empty}

Question 37

37.

Which of the following are null sets?

a)

{∅}

b)

∅

c)

{empty}

d)

{1,3,8}

e)

{}

(i)

{c,e}
(ii)

{b,e}
(iii)

{c,e,b}
(iv)

{a,b}
(v)

{d,a,b}

Question 38

38.

Which of the following sets are not equivalent to set {4,7,3}?

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

(i)

{c,d}
(ii)

{b,d,c}
(iii)

{e,a,c}
(iv)

{a,c}
(v)

{b,d}

Question 39

39.

Which of the following are equivalent sets?

a)

{0,2}

b)

{3,-3,1,-8}

c)

{0,-8,1,-5,-3}

d)

{-7,2,7}

e)

{-1,-3,7}

(i)

{a,d}
(ii)

{b,e}
(iii)

{b,e,d}
(iv)

{c,a,d}
(v)

{d,e}

Question 40

40.

Which of the following sets have same cardinality?

a)

{-3,5,6,3,2,-7,1,9,-4}

b)

{9,-5,-1,8,5,-4}

c)

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

d)

{6,-6,9,2,7,4,-1}

e)

{-8,-3,8,6,7,-5,-2}

(i)

{a,d}
(ii)

{b,e,d}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{b,e}

Question 41

41.

Which of the following diagrams represent equivalent sets?

(i)

figure 4
(ii)

figure 1
(iii)

figure 3
(iv)

figure 2
(v)

None of the above

Question 42

42.

What is the cardinality of an empty set?

(i)

5
(ii)

7
(iii)

1
(iv)

0
(v)

3

Question 43

43.

Which of the following diagrams represent equal sets?

(i)

figure 3
(ii)

figure 2
(iii)

figure 4
(iv)

figure 1

Question 44

44.

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

(i)

R
(ii)

N
(iii)

Q'
(iv)

W
(v)

Z

Question 45

45.

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

(i)

R
(ii)

Z
(iii)

N
(iv)

W
(v)

Q'

Question 46

46.

Which of the following symbols represent the set of Integers ?

(i)

Z
(ii)

R
(iii)

Q'
(iv)

W
(v)

Q

Question 47

47.

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

(i)

R
(ii)

Q
(iii)

N
(iv)

W
(v)

Z

Question 48

48.

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

(i)

N
(ii)

W
(iii)

Q
(iv)

Q'
(v)

R

Question 49

49.

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

(i)

N
(ii)

Q
(iii)

Q'
(iv)

W
(v)

R

Question 50

50.

Find the cardinality of A = {-8,7,-9,4,-4,9,1,-3}

(i)

7
(ii)

9
(iii)

11
(iv)

6
(v)

8

Question 51

51.

If A = {9,8,4,-4,-1,-9,6,3}, then n(A) = ?

(i)

8
(ii)

6
(iii)

7
(iv)

9
(v)

11

Question 52

52.

Which of the following is 'union' symbol?

(i)

∪
(ii)

⊄
(iii)

∈
(iv)

∩
(v)

⊅

Assignment Key