EduSahara™ Worksheet

Question 1

1.

Which of the following is a singleton set?

(i)

{-5,6,5}
(ii)

{-3}
(iii)

{6,-1,-7,-6,8}
(iv)

{7,-4,3,8}
(v)

{9,2}

Question 2

2.

Which of the following is a null set?

(i)

{}
(ii)

{-4,8}
(iii)

{0,-9,1,-2}
(iv)

{2,6,-8,8,5}
(v)

{3,1,-4}

Question 3

3.

Which of the following is equal to set A = {3,4,1,5}?

(i)

{-3,9,5}
(ii)

{5,1,4,3}
(iii)

{-7,6,7,0,-5}
(iv)

{9,-5,6,-1}
(v)

{3,4,5,6}

Question 4

4.

Which of the following is equivalent set of A = {5,-9,2,3,8,0}?

(i)

{-1,-2,-8,9,-6,7,3}
(ii)

{5,-9,2,8,0}
(iii)

{-4,-7,3,9,8,4,5,2}
(iv)

{-1,-2,-8,9,-6,7}
(v)

{9,3,7,-8}

Question 5

5.

Which of the following is an infinite set?

(i)

{0,-8}
(ii)

{0,1,2,3,4,...}
(iii)

{0}
(iv)

{3,0,8}
(v)

{}

Question 6

6.

If A = {3,2,10,6,8}, which of the following are true?

a)

{8,6}
⊂
A

b)

6
∉
A

c)

6
⊂
A

d)

A
⊃
6

e)

6
∈
A

(i)

{c,e,a}
(ii)

{a,e}
(iii)

{c,e}
(iv)

{d,b,a}
(v)

{b,a}

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 = A
d)	A ⊂ B
e)	A ∩ B= ∅

(i)

{e}
(ii)

{a,e}
(iii)

{b,e}
(iv)

{c,d,e}

Question 8

8.

If A = {r,h,p,y,v}, which of the following are true?

a)

{p,v}
⊂
A

b)

r
∈
A

c)

r
⊂
A

d)

A
⊃
r

e)

r
∉
A

(i)

{a,b}
(ii)

{c,a}
(iii)

{d,b}
(iv)

{d,b,a}
(v)

{e,c,a}

Question 9

9.

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

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

(i)

{a,c,e}
(ii)

{c,d}
(iii)

{a,b}
(iv)

{a,b,d}
(v)

{b,d,e}

Question 10

10.

Which of the following are true?

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

(i)

{b,d}
(ii)

{e,a,b}
(iii)

{c,d,b}
(iv)

{c,d}
(v)

{a,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)

{c,a}
(iii)

{d,e,a}
(iv)

{b,a}

Question 12

12.

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

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

(i)

{e,c,a}
(ii)

{d,b}
(iii)

{a,b}
(iv)

{d,b,a}
(v)

{c,a}

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)

{c,b}
(ii)

{b}
(iii)

{d,e,b}
(iv)

{a,b}

Question 14

14.

D =
{17,12,18,11,19,15,14}
and E =
{7,5,2,8,10,1,4,3,6,9}
,

which of the following are true?

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

(i)

{c,e}
(ii)

{a,e}
(iii)

{b,a}
(iv)

{d,b,a}
(v)

{c,e,a}

Question 15

15.

Which of the following are disjoint sets?

(i)
{18,16,12,17,9,5}

,

{}
(ii)
{18,16,12,17,9,5}

,

{18,16,12,17,9,5}
(iii)
{}

,

{18,16,12,17,9,5}
(iv)
{18,16,12,17,9,5}

,

{15,5,19,2,17}
(v)
{18,16,12,9}

,

{15,5,19,2}

Question 16

16.

Which of the following are overlapping sets?

(i)
{17,11,5,16,7,12,18}

,

{3,4,16,8,1,12,18}
(ii)
{17,11,5,7}

,

{3,4,8,1}
(iii)
{17,11,5,16,7,12,18}

,

{3,4,8,1}
(iv)
{17,11,5,16,7,12,18}

,

{}
(v)
{17,11,5,7}

,

{3,4,16,8,1,12,18}

Question 17

17.

Which of the following elements belong to the set {7,5,4,6,2}?

(i)

14
(ii)

(-4)
(iii)

15
(iv)

(-5)
(v)

7

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 {6,3,1,5,9}?

(i)

9
(ii)

4
(iii)

3
(iv)

6
(v)

5

Question 33

33.

Which of the following elements does not belong to the set {u,p,l,m,q}

(i)

q
(ii)

p
(iii)

u
(iv)

j
(v)

m

Question 34

34.

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

(i)

{3,9,6,1,0}
(ii)

{1,9,0,8,3}
(iii)

{9,3,8,0,1}
(iv)

{9,0,1,3,8}
(v)

{9,1,3,0,8}

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)

{0}
(ii)

{∅}
(iii)

{o}
(iv)

∅
(v)

{empty}

Question 37

37.

Which of the following are null sets?

a)

∅

b)

{∅}

c)

{}

d)

{2,6,7}

e)

{empty}

(i)

{e,b,a}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{a,c}

Question 38

38.

Which of the following sets are not equivalent to set {5,3,6,2,4}?

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

(i)

{c,e,a}
(ii)

{b,a}
(iii)

{d,b,a}
(iv)

{c,e}
(v)

{a,e}

Question 39

39.

Which of the following are equivalent sets?

a)

{2,-6,-9,-7,0,-4}

b)

{-5,-3,-7,-4,8,7,3}

c)

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

d)

{-2,3,-4,-1,-3,7}

e)

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

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{c,d,a}
(iv)

{b,a}
(v)

{a,d}

Question 40

40.

Which of the following sets have same cardinality?

a)

{6,-3,4,-7,0}

b)

{8,9,-3}

c)

{3,-3,4}

d)

{7,-4}

e)

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

(i)

{d,c}
(ii)

{d,c,b}
(iii)

{b,c}
(iv)

{a,b}
(v)

{e,a,b}

Question 41

41.

Which of the following diagrams represent equivalent sets?

(i)

figure 2
(ii)

figure 3
(iii)

figure 4
(iv)

figure 1
(v)

None of the above

Question 42

42.

What is the cardinality of an empty set?

(i)

0
(ii)

3
(iii)

1
(iv)

5

Question 43

43.

Which of the following diagrams represent equal sets?

(i)

figure 3
(ii)

figure 4
(iii)

figure 1
(iv)

figure 2

Question 44

44.

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

(i)

Z
(ii)

Q'
(iii)

N
(iv)

Q
(v)

R

Question 45

45.

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

(i)

Q'
(ii)

W
(iii)

Q
(iv)

N
(v)

R

Question 46

46.

Which of the following symbols represent the set of Integers ?

(i)

R
(ii)

N
(iii)

Q'
(iv)

W
(v)

Z

Question 47

47.

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

(i)

Q
(ii)

N
(iii)

W
(iv)

Z
(v)

R

Question 48

48.

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

(i)

Z
(ii)

W
(iii)

Q'
(iv)

Q
(v)

R

Question 49

49.

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

(i)

Q
(ii)

W
(iii)

N
(iv)

Z
(v)

R

Question 50

50.

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

(i)

4
(ii)

2
(iii)

5
(iv)

3
(v)

7

Question 51

51.

If A = {8,-8,-5,3,-2}, then n(A) = ?

(i)

4
(ii)

7
(iii)

5
(iv)

6
(v)

3

Question 52

52.

Which of the following is 'union' symbol?

(i)

↔
(ii)

∪
(iii)

⊅
(iv)

⊄
(v)

∈

Assignment Key