EduSahara™ Worksheet

Question 1

1.

Which of the following is a singleton set?

(i)

{7,-5,-9}
(ii)

{5,-4}
(iii)

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

{1,7,-4,0,9}
(v)

{-6}

Question 2

2.

Which of the following is a null set?

(i)

{3,-3}
(ii)

{}
(iii)

{1,-8,-2,9,5}
(iv)

{6,0,-9,9}
(v)

{-5,-8,-1}

Question 3

3.

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

(i)

{-9,4}
(ii)

{9,4}
(iii)

{-5,9}
(iv)

{4,9,-7}
(v)

{-7}

Question 4

4.

Which of the following is equivalent set of A = {-7,0,6}?

(i)

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

{-7,6}
(iii)

{0,4,-6,3,-3}
(iv)

{1}
(v)

{-5,-3,5,0}

Question 5

5.

Which of the following is an infinite set?

(i)

{0,1,2,3,4,5,6,7,...}
(ii)

{-6,6,5}
(iii)

{1}
(iv)

{-2,-6}
(v)

{}

Question 6

6.

If A = {9,7,1,5,8}, which of the following are true?

a)

1
∉
A

b)

1
∈
A

c)

A
⊃
1

d)

1
⊂
A

e)

{5,8}
⊂
A

(i)

{a,b}
(ii)

{b,e}
(iii)

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

(i)

{c,e,d}
(ii)

{d}
(iii)

{b,d}
(iv)

{a,d}

Question 8

8.

If A = {k,i,e,w,m}, which of the following are true?

a)

e
∈
A

b)

e
∉
A

c)

A
⊃
e

d)

{i,e}
⊂
A

e)

e
⊂
A

(i)

{c,d}
(ii)

{b,a}
(iii)

{e,b,a}
(iv)

{a,d}
(v)

{c,d,a}

Question 9

9.

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

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

(i)

{a,b,d}
(ii)

{c,a,b}
(iii)

{c,e,d}
(iv)

{c,a}
(v)

{e,b}

Question 10

10.

Which of the following are true?

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

(i)

{e,a,b}
(ii)

{b,c}
(iii)

{d,c,b}
(iv)

{d,c}
(v)

{a,b}

Question 11

11.

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

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

(i)

{d}
(ii)

{b,d}
(iii)

{a,d}
(iv)

{c,e,d}

Question 12

12.

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

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

(i)

{b,e,c}
(ii)

{d,a,c}
(iii)

{b,e}
(iv)

{a,c}
(v)

{c,e}

Question 13

13.

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)

{d,e,c}
(ii)

{b,c}
(iii)

{c}
(iv)

{a,c}

Question 14

14.

D =
{11,15,17,18,13,12,14}
and E =
{3,1,6,5,9,2,10,8,7,4}
,

which of the following are true?

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

(i)

{c,a}
(ii)

{a,b,d}
(iii)

{c,e,d}
(iv)

{e,b}
(v)

{c,a,b}

Question 15

15.

Which of the following are disjoint sets?

(i)
{3,7,8,1,14}

,

{}
(ii)
{3,7,8,1,14}

,

{3,7,8,1,14}
(iii)
{3,7,8,1,14}

,

{13,18,19,17,9}
(iv)
{}

,

{3,7,8,1,14}
(v)
{3,7,8,1,14}

,

{13,18,19,17,9,1}

Question 16

16.

Which of the following are overlapping sets?

(i)
{18,2,5}

,

{14,3,13,20,7,19}
(ii)
{18,13,7,2,5,19}

,

{14,3,20}
(iii)
{18,13,7,2,5,19}

,

{14,3,13,20,7,19}
(iv)
{18,13,7,2,5,19}

,

{}
(v)
{18,2,5}

,

{14,3,20}

Question 17

17.

Which of the following elements belong to the set {8,1,3,7,10}?

(i)

15
(ii)

(-1)
(iii)

14
(iv)

10
(v)

0

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)

μ
(ii)

⊄
(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 {9,5,6,4,10}?

(i)

10
(ii)

9
(iii)

4
(iv)

2
(v)

6

Question 33

33.

Which of the following elements does not belong to the set {d,v,x,b,r}

(i)

v
(ii)

r
(iii)

p
(iv)

b
(v)

x

Question 34

34.

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

(i)

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

{10,3,4,9,0,7}
(iii)

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

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

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

Question 35

35.

Which of the following is an empty set?

(i)

{∅}
(ii)

{0}
(iii)

{}
(iv)

{empty}
(v)

{o}

Question 36

36.

Which of the following is a null set?

(i)

∅
(ii)

{o}
(iii)

{empty}
(iv)

{0}
(v)

{∅}

Question 37

37.

Which of the following are null sets?

a)

∅

b)

{∅}

c)

{empty}

d)

{4,6,5}

e)

{}

(i)

{d,b,a}
(ii)

{c,e,a}
(iii)

{a,e}
(iv)

{c,e}
(v)

{b,a}

Question 38

38.

Which of the following sets are not equivalent to set {10,5,7,8,6}?

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

(i)

{d,b}
(ii)

{c,a}
(iii)

{e,c,a}
(iv)

{a,b}
(v)

{d,b,a}

Question 39

39.

Which of the following are equivalent sets?

a)

{7,-1,5,-7,-3,9}

b)

{4,7,-8,-2,-6,3,9}

c)

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

d)

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

e)

{-5,5,4,7,8,0,-6,-8}

(i)

{c,d,a}
(ii)

{a,d}
(iii)

{e,b,a}
(iv)

{b,a}
(v)

{c,d}

Question 40

40.

Which of the following sets have same cardinality?

a)

{2,0,8,-7,-6}

b)

{7,1,-6,0,-4,-8}

c)

{-9,8,-3,2,0}

d)

{-8,0,6,-5,-2,-7,9}

e)

{-2,8,-7,1}

(i)

{d,c,a}
(ii)

{a,c}
(iii)

{d,c}
(iv)

{e,b,a}
(v)

{b,a}

Question 41

41.

Which of the following diagrams represent equivalent sets?

(i)

figure 3
(ii)

figure 4
(iii)

figure 2
(iv)

figure 1

Question 42

42.

What is the cardinality of an empty set?

(i)

2
(ii)

4
(iii)

6
(iv)

0

Question 43

43.

Which of the following diagrams represent equal sets?

(i)

figure 2
(ii)

figure 1
(iii)

figure 3
(iv)

figure 4

Question 44

44.

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

(i)

R
(ii)

W
(iii)

Q
(iv)

N
(v)

Q'

Question 45

45.

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

(i)

W
(ii)

R
(iii)

Z
(iv)

Q
(v)

N

Question 46

46.

Which of the following symbols represent the set of Integers ?

(i)

Q
(ii)

W
(iii)

N
(iv)

Z
(v)

R

Question 47

47.

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

(i)

N
(ii)

R
(iii)

Q
(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)

Z
(v)

Q'

Question 49

49.

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

(i)

Z
(ii)

Q
(iii)

N
(iv)

Q'
(v)

R

Question 50

50.

Find the cardinality of A = {4,0,2,-7,-1}

(i)

2
(ii)

6
(iii)

5
(iv)

4
(v)

8

Question 51

51.

If A = {0,-6,1,3,2}, then n(A) = ?

(i)

6
(ii)

4
(iii)

2
(iv)

8
(v)

5

Question 52

52.

Which of the following is 'union' symbol?

(i)

⊃
(ii)

⊄
(iii)

∪
(iv)

∩
(v)

⊂

Assignment Key