EduSahara™ Worksheet

Question 1

1.

Which of the following is a singleton set?

(i)

{-3}
(ii)

{-5,8}
(iii)

{-3,-5,-4}
(iv)

{-3,6,-6,-7,1}
(v)

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

Question 2

2.

Which of the following is a null set?

(i)

{-1,4}
(ii)

{1,3,-7,4,-9}
(iii)

{}
(iv)

{-5,-2,5,-8}
(v)

{-5,-3,5}

Question 3

3.

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

(i)

{-2,4}
(ii)

{-7}
(iii)

{9,7,-6}
(iv)

{-2,-3}
(v)

{-1,-3}

Question 4

4.

Which of the following is equivalent set of A = {8,-3,-8,9,5}?

(i)

{-4,8,-5,7,-3,3,-9}
(ii)

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

{8,-3,9,5}
(iv)

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

{0,-1,7}

Question 5

5.

Which of the following is an infinite set?

(i)

{}
(ii)

{-5,5,3}
(iii)

{0,1,2,3,...}
(iv)

{1}
(v)

{2,0}

Question 6

6.

If A = {6,7,3,8,4}, which of the following are true?

a)

7
∉
A

b)

7
⊂
A

c)

7
∈
A

d)

A
⊃
7

e)

{6,8}
⊂
A

(i)

{a,c}
(ii)

{b,e}
(iii)

{c,e}
(iv)

{d,a,c}
(v)

{b,e,c}

Question 7

7.

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

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

(i)

{a,c}
(ii)

{c}
(iii)

{d,e,c}
(iv)

{b,c}

Question 8

8.

If A = {i,d,p,v,w}, which of the following are true?

a)

i
∈
A

b)

{p,i}
⊂
A

c)

i
∉
A

d)

A
⊃
i

e)

i
⊂
A

(i)

{d,b}
(ii)

{c,a}
(iii)

{e,c,a}
(iv)

{a,b}
(v)

{d,b,a}

Question 9

9.

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

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

(i)

{d,c}
(ii)

{a,b}
(iii)

{b,c,e}
(iv)

{a,b,c}
(v)

{a,d,e}

Question 10

10.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{c,d}
(iii)

{a,d}
(iv)

{b,a}
(v)

{c,d,a}

Question 11

11.

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

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

(i)

{d}
(ii)

{c,e,d}
(iii)

{a,d}
(iv)

{b,d}

Question 12

12.

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

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

(i)

{c,e}
(ii)

{b,e}
(iii)

{d,a,c}
(iv)

{b,e,c}
(v)

{a,c}

Question 13

13.

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

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

(i)

{c}
(ii)

{b,c}
(iii)

{d,e,c}
(iv)

{a,c}

Question 14

14.

D =
{19,15,12,17,11,14,13}
and E =
{4,9,7,10,5,2,8,3,6,1}
,

which of the following are true?

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

(i)

{d,e}
(ii)

{b,e,d}
(iii)

{c,a,d}
(iv)

{b,e}
(v)

{a,d}

Question 15

15.

Which of the following are disjoint sets?

(i)
{6,14,20,12,11,9}

,

{}
(ii)
{6,14,20,12,11,9}

,

{16,2,9,11,4}
(iii)
{6,14,20,12}

,

{16,2,9,4}
(iv)
{}

,

{6,14,20,12,11,9}
(v)
{6,14,20,12,11,9}

,

{6,14,20,12,11,9}

Question 16

16.

Which of the following are overlapping sets?

(i)
{4,11,2,8,6,18}

,

{1,14,16,12,11,4,18}
(ii)
{2,8,6}

,

{1,14,16,12}
(iii)
{4,11,2,8,6,18}

,

{}
(iv)
{4,11,2,8,6,18}

,

{1,14,16,12}
(v)
{2,8,6}

,

{1,14,16,12,11,4,18}

Question 17

17.

Which of the following elements belong to the set {1,6,10,8,7}?

(i)

13
(ii)

12
(iii)

(-2)
(iv)

1
(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 {7,1,8,3,2}?

(i)

8
(ii)

7
(iii)

1
(iv)

4
(v)

3

Question 33

33.

Which of the following elements does not belong to the set {r,a,u,e,v}

(i)

a
(ii)

r
(iii)

e
(iv)

u
(v)

q

Question 34

34.

Which of the following is not equal to set A = {1,6,10,0,3,5,2,8,4}?

(i)

{8,4,2,10,3,6,5,1,0}
(ii)

{0,10,3,5,4,8,1,2,6}
(iii)

{8,5,6,0,10,3,1,9,2}
(iv)

{4,1,6,3,0,10,8,2,5}
(v)

{3,6,2,1,10,5,0,8,4}

Question 35

35.

Which of the following is an empty set?

(i)

{0}
(ii)

{empty}
(iii)

{}
(iv)

{o}
(v)

{∅}

Question 36

36.

Which of the following is a null set?

(i)

∅
(ii)

{o}
(iii)

{∅}
(iv)

{0}
(v)

{empty}

Question 37

37.

Which of the following are null sets?

a)

{1,3,5}

b)

{}

c)

{∅}

d)

{empty}

e)

∅

(i)

{c,e,b}
(ii)

{b,e}
(iii)

{c,e}
(iv)

{d,a,b}
(v)

{a,b}

Question 38

38.

Which of the following sets are not equivalent to set {2,7,5,6,3,1}?

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

(i)

{a,b}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{c,d,b}
(v)

{b,d}

Question 39

39.

Which of the following are equivalent sets?

a)

{-2,-1,0,-9}

b)

{-9,-5,4,7,2}

c)

{5,0,1}

d)

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

e)

{8,-3,-2,7}

(i)

{d,b,a}
(ii)

{b,a}
(iii)

{c,e}
(iv)

{a,e}
(v)

{c,e,a}

Question 40

40.

Which of the following sets have same cardinality?

a)

{8,0,-1,6,5,7}

b)

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

c)

{-9,-5,-8,0,-3}

d)

{-3,8,-2,4}

e)

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

(i)

{e,a,b}
(ii)

{b,c}
(iii)

{a,b}
(iv)

{d,c,b}
(v)

{d,c}

Question 41

41.

Which of the following diagrams represent equivalent sets?

(i)

None of the above
(ii)

figure 1
(iii)

figure 4
(iv)

figure 3
(v)

figure 2

Question 42

42.

What is the cardinality of an empty set?

(i)

4
(ii)

2
(iii)

0
(iv)

6

Question 43

43.

Which of the following diagrams represent equal sets?

(i)

figure 1
(ii)

figure 4
(iii)

figure 2
(iv)

figure 3

Question 44

44.

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

(i)

R
(ii)

Q'
(iii)

N
(iv)

Q
(v)

W

Question 45

45.

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

(i)

N
(ii)

W
(iii)

Z
(iv)

Q
(v)

R

Question 46

46.

Which of the following symbols represent the set of Integers ?

(i)

Q
(ii)

Z
(iii)

N
(iv)

R
(v)

Q'

Question 47

47.

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

(i)

Q'
(ii)

R
(iii)

N
(iv)

Z
(v)

Q

Question 48

48.

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

(i)

W
(ii)

Q'
(iii)

Q
(iv)

Z
(v)

R

Question 49

49.

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

(i)

R
(ii)

Z
(iii)

Q
(iv)

Q'
(v)

N

Question 50

50.

Find the cardinality of A = {7,-4,-3,2,1,-5,3,-8}

(i)

8
(ii)

5
(iii)

7
(iv)

9
(v)

10

Question 51

51.

If A = {9,6,-6,-2}, then n(A) = ?

(i)

5
(ii)

7
(iii)

3
(iv)

2
(v)

4

Question 52

52.

Which of the following is 'union' symbol?

(i)

↔
(ii)

∪
(iii)

∈
(iv)

∩
(v)

⊆

Assignment Key