EduSahara™ Worksheet

Question 1

1.

Which of the following is a singleton set?

(i)

{-2,8,0}
(ii)

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

{5,-1}
(iv)

{3}
(v)

{9,-9,-7,-4,-3}

Question 2

2.

Which of the following is a null set?

(i)

{0,-1,-2,5,-7}
(ii)

{7,9,6}
(iii)

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

{}
(v)

{-1,-9}

Question 3

3.

Which of the following is equal to set A = {-3,1}?

(i)

{1,-3}
(ii)

{-1,4,2}
(iii)

{2}
(iv)

{-5,8}
(v)

{1,8}

Question 4

4.

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

(i)

{2,5}
(ii)

{8,-4,-2,-7}
(iii)

{8,-6,-8,-4,-3}
(iv)

{8,-4,-2}
(v)

{-3}

Question 5

5.

Which of the following is an infinite set?

(i)

{-1}
(ii)

{}
(iii)

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

{-1,2,0}
(v)

{5,-1}

Question 6

6.

If A = {7,1,6,5,2}, which of the following are true?

a)

1
⊂
A

b)

1
∉
A

c)

{1,5}
⊂
A

d)

A
⊃
1

e)

1
∈
A

(i)

{b,e,c}
(ii)

{c,e}
(iii)

{d,a,c}
(iv)

{a,c}
(v)

{b,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 = A
d)	A ⊂ B
e)	A ∩ B= ∅

(i)

{c,d,e}
(ii)

{a,e}
(iii)

{e}
(iv)

{b,e}

Question 8

8.

If A = {y,j,s,w,e}, which of the following are true?

a)

{j}
⊂
A

b)

s
∉
A

c)

s
∈
A

d)

s
⊂
A

e)

A
⊃
s

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{d,c}
(iv)

{d,c,a}
(v)

{b,a}

Question 9

9.

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

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

(i)

{b,a}
(ii)

{b,d,e}
(iii)

{a,c,e}
(iv)

{b,a,c}
(v)

{d,c}

Question 10

10.

Which of the following are true?

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

(i)

{a,b}
(ii)

{b,d}
(iii)

{e,a,b}
(iv)

{c,d}
(v)

{c,d,b}

Question 11

11.

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

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

(i)

{a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{b,a}

Question 12

12.

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

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

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{d,c}
(v)

{d,c,b}

Question 13

13.

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

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

(i)

{c,b}
(ii)

{a,b}
(iii)

{b}
(iv)

{d,e,b}

Question 14

14.

D =
{13,14,16,18,15,12,17}
and E =
{10,4,8,7,2,1,3,9,6,5}
,

which of the following are true?

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

(i)

{a,b}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{e,a,b}
(v)

{c,d}

Question 15

15.

Which of the following are disjoint sets?

(i)
{}

,

{13,20,4,18,16,7}
(ii)
{13,20,4,18,16,7}

,

{20,3,10,11,17,7}
(iii)
{13,4,18,16}

,

{3,10,11,17}
(iv)
{13,20,4,18,16,7}

,

{}
(v)
{13,20,4,18,16,7}

,

{13,20,4,18,16,7}

Question 16

16.

Which of the following are overlapping sets?

(i)
{17,8}

,

{4,20,7,1,19,11,18}
(ii)
{17,8,18,11,7}

,

{4,20,7,1,19,11,18}
(iii)
{17,8,18,11,7}

,

{4,20,1,19}
(iv)
{17,8,18,11,7}

,

{}
(v)
{17,8}

,

{4,20,1,19}

Question 17

17.

Which of the following elements belong to the set {7,8,5,2,4}?

(i)

11
(ii)

8
(iii)

12
(iv)

(-4)
(v)

(-3)

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 {4,6,3,2,5}?

(i)

7
(ii)

3
(iii)

6
(iv)

5
(v)

4

Question 33

33.

Which of the following elements does not belong to the set {x,j,a,p,c}

(i)

l
(ii)

j
(iii)

x
(iv)

a
(v)

p

Question 34

34.

Which of the following is not equal to set A = {9,4,6,2,8,0,3,10}?

(i)

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

{8,4,3,10,0,9,2,6}
(iii)

{10,3,0,6,8,4,9,2}
(iv)

{8,9,3,0,2,10,4,6}
(v)

{9,4,2,6,0,3,10,8}

Question 35

35.

Which of the following is an empty set?

(i)

{0}
(ii)

{o}
(iii)

{empty}
(iv)

{∅}
(v)

{}

Question 36

36.

Which of the following is a null set?

(i)

{o}
(ii)

{0}
(iii)

{empty}
(iv)

∅
(v)

{∅}

Question 37

37.

Which of the following are null sets?

a)

{∅}

b)

{empty}

c)

{8,7,3}

d)

{}

e)

∅

(i)

{a,d}
(ii)

{d,e}
(iii)

{c,a,d}
(iv)

{b,e}
(v)

{b,e,d}

Question 38

38.

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

a)	{3,10}
b)	{6}
c)	{6,3,10,7}
d)	{3,8}
e)	{10,7}

(i)

{d,c}
(ii)

{d,c,b}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{b,c}

Question 39

39.

Which of the following are equivalent sets?

a)

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

b)

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

c)

{-5,7,-7}

d)

{-7,4,5,9}

e)

{7,0,6,-2}

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{d,e}
(iv)

{b,e}
(v)

{b,e,d}

Question 40

40.

Which of the following sets have same cardinality?

a)

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

b)

{0,-2,6}

c)

{9,-3,0,6}

d)

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

e)

{3,1,4,5}

(i)

{d,a,c}
(ii)

{b,e,c}
(iii)

{c,e}
(iv)

{b,e}
(v)

{a,c}

Question 41

41.

Which of the following diagrams represent equivalent sets?

(i)

figure 4
(ii)

figure 2
(iii)

None of the above
(iv)

figure 3
(v)

figure 1

Question 42

42.

What is the cardinality of an empty set?

(i)

1
(ii)

3
(iii)

5
(iv)

0

Question 43

43.

Which of the following diagrams represent equal sets?

(i)

figure 1
(ii)

figure 3
(iii)

figure 4
(iv)

figure 2

Question 44

44.

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

(i)

N
(ii)

Z
(iii)

Q
(iv)

R
(v)

W

Question 45

45.

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

(i)

N
(ii)

Z
(iii)

W
(iv)

R
(v)

Q'

Question 46

46.

Which of the following symbols represent the set of Integers ?

(i)

N
(ii)

Q'
(iii)

Z
(iv)

Q
(v)

R

Question 47

47.

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

(i)

R
(ii)

Q'
(iii)

Z
(iv)

Q
(v)

N

Question 48

48.

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

(i)

R
(ii)

N
(iii)

Q
(iv)

Q'
(v)

Z

Question 49

49.

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

(i)

Q'
(ii)

N
(iii)

W
(iv)

R
(v)

Q

Question 50

50.

Find the cardinality of A = {4,5,3}

(i)

1
(ii)

3
(iii)

4
(iv)

5
(v)

2

Question 51

51.

If A = {9,-5,-7,3,-9,-3,-6,-1,5}, then n(A) = ?

(i)

8
(ii)

12
(iii)

7
(iv)

10
(v)

9

Question 52

52.

Which of the following is 'union' symbol?

(i)

∪
(ii)

⊄
(iii)

↔
(iv)

⊆
(v)

⊅

Assignment Key