EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {0,2,4}?

(i)

{3,2,4}
(ii)

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

{4,2}
(iv)

{2,5,4}
(v)

{3,5,1}

Question 2

2.

Which of the following is a subset of A = {9,4,5,1,2,8}?

(i)

{6,3,7}
(ii)

{9,3}
(iii)

{9}
(iv)

{7,2,5,1,4,8}
(v)

{7,6,9}

Question 3

3.

Which of the following is a subset of A = {6,4,13,0,2,12}?

(i)

{0,13,12,2,9}
(ii)

{13,12,2,0}
(iii)

{7,13,6,12,0,2}
(iv)

{3,9,7}
(v)

{0,12,13,2,7,3}

Question 4

4.

Find the cardinality of A = {4,-7,9,-5,-2,6,-8}

(i)

4
(ii)

8
(iii)

6
(iv)

9
(v)

7

Question 5

5.

If A = {6,-8,-1,7,-6,1,5,-5,-2}, then n(A) = ?

(i)

6
(ii)

9
(iii)

10
(iv)

8
(v)

11

Question 6

6.

Which of the following is a singleton set?

(i)

{6,8,-9,2,9}
(ii)

{-3,-5,2}
(iii)

{7,1}
(iv)

{-4}
(v)

{8,-1,-7,1}

Question 7

7.

Which of the following is a null set?

(i)

{}
(ii)

{-4,-3}
(iii)

{-6,-4,4,-9,0}
(iv)

{0,9,8,-8}
(v)

{9,8,-5}

Question 8

8.

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

(i)

{-2,4}
(ii)

{-2}
(iii)

{-2,-7}
(iv)

{-2,6,-4}
(v)

{3,-7}

Question 9

9.

Which of the following is equivalent set of A = {-9,-3,-1,-4,5,8}?

(i)

{3,6,7,1,-5,-8,-4}
(ii)

{-9,-3,-1,5,8}
(iii)

{1,-7,5,-5,7,8,2,-1}
(iv)

{3,6,7,1,-5,-8}
(v)

{-3,4,-8,0}

Question 10

10.

Which of the following is an infinite set?

(i)

{-2,2,3}
(ii)

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

{}
(iv)

{1,2}
(v)

{-3}

Question 11

11.

If A = {5,10,8,2,7}, which of the following are true?

a)

A
⊃
8

b)

8
∉
A

c)

8
⊂
A

d)

8
∈
A

e)

{8,5}
⊂
A

(i)

{a,d}
(ii)

{c,a,d}
(iii)

{b,e,d}
(iv)

{b,e}
(v)

{d,e}

Question 12

12.

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

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

(i)

{c}
(ii)

{a,c}
(iii)

{b,c}
(iv)

{d,e,c}

Question 13

13.

If A = {d,k,i,t,a}, which of the following are true?

a)

i
⊂
A

b)

A
⊃
i

c)

i
∈
A

d)

i
∉
A

e)

{a,d}
⊂
A

(i)

{c,e}
(ii)

{a,c}
(iii)

{d,a,c}
(iv)

{b,e}
(v)

{b,e,c}

Question 14

14.

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

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

(i)

{d,e,c}
(ii)

{d,a}
(iii)

{a,b,c}
(iv)

{e,b}
(v)

{d,a,b}

Question 15

15.

Which of the following are true?

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

(i)

{a,b}
(ii)

{b,d}
(iii)

{c,d,b}
(iv)

{c,d}
(v)

{e,a,b}

Question 16

16.

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

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

(i)

{b,d}
(ii)

{a,d}
(iii)

{d}
(iv)

{c,e,d}

Question 17

17.

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

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

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{b,c}
(iv)

{d,c}
(v)

{d,c,b}

Question 18

18.

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

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

(i)

{d}
(ii)

{a,d}
(iii)

{c,e,d}
(iv)

{b,d}

Question 19

19.

D =
{12,13,15,16,11,17,19}
and E =
{8,3,2,9,7,10,4,1,5,6}
,

which of the following are true?

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

(i)

{b,a}
(ii)

{a,c}
(iii)

{e,b,a}
(iv)

{d,c}
(v)

{d,c,a}

Question 20

20.

Which of the following are disjoint sets?

(i)
{1,16,9,4,7,5}

,

{}
(ii)
{}

,

{1,16,9,4,7,5}
(iii)
{1,16,4}

,

{19,3,17}
(iv)
{1,16,9,4,7,5}

,

{19,7,9,3,17,5}
(v)
{1,16,9,4,7,5}

,

{1,16,9,4,7,5}

Question 21

21.

Which of the following are overlapping sets?

(i)
{13,4,8,17,16,15}

,

{15,16,20,1,8}
(ii)
{13,4,17}

,

{20,1}
(iii)
{13,4,17}

,

{15,16,20,1,8}
(iv)
{13,4,8,17,16,15}

,

{20,1}
(v)
{13,4,8,17,16,15}

,

{}

Question 22

22.

Which of the following elements belong to the set {9,5,4,3,10}?

(i)

11
(ii)

9
(iii)

0
(iv)

(-1)
(v)

12

Question 23

23.

Which of the following is 'union' symbol?

(i)

⊅
(ii)

∩
(iii)

⊃
(iv)

⊂
(v)

∪

Question 24

24.

Which of the following is 'intersection' symbol?

(i)

∩
(ii)

⊂
(iii)

∈
(iv)

⊄
(v)

∪

Question 25

25.

Which of the following is 'minus' symbol?

(i)

⊇
(ii)

∉
(iii)

−
(iv)

⊂
(v)

⊄

Question 26

26.

Which of the following is 'complement' symbol?

(i)

⊄
(ii)

∈
(iii)

'
(iv)

⊃
(v)

∪

Question 27

27.

Which of the following is 'subset' symbol?

(i)

∩
(ii)

∉
(iii)

∈
(iv)

⊇
(v)

⊂

Question 28

28.

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

(i)

⊅
(ii)

⊆
(iii)

⊄
(iv)

⊂
(v)

∉

Question 29

29.

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

(i)

⊃
(ii)

∈
(iii)

⊄
(iv)

⊅
(v)

∩

Question 30

30.

Which of the following is 'superset' symbol?

(i)

∈
(ii)

↔
(iii)

⊅
(iv)

⊂
(v)

⊃

Question 31

31.

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

(i)

⊃
(ii)

⊄
(iii)

⊅
(iv)

⊇
(v)

∪

Question 32

32.

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

(i)

↔
(ii)

⊇
(iii)

⊅
(iv)

⊃
(v)

⊄

Question 33

33.

Which of the following is 'equivalent set' symbol?

(i)

↔
(ii)

∩
(iii)

⊅
(iv)

⊆
(v)

⊄

Question 34

34.

Which of the following is 'belongs to' symbol?

(i)

⊅
(ii)

⊃
(iii)

∩
(iv)

↔
(v)

∈

Question 35

35.

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

(i)

⊄
(ii)

∉
(iii)

⊂
(iv)

∪
(v)

∈

Question 36

36.

Which of the following is 'universal set' symbol?

(i)

μ
(ii)

⊅
(iii)

∪
(iv)

↔
(v)

⊇

Question 37

37.

Which of the following is 'null set' symbol?

(i)

∅
(ii)

⊅
(iii)

∪
(iv)

↔
(v)

⊂

Question 38

38.

Which of the following elements does not belong to the set {3,7,8,9,6}?

(i)

9
(ii)

7
(iii)

4
(iv)

8
(v)

6

Question 39

39.

Which of the following elements does not belong to the set {u,m,b,w,z}

(i)

z
(ii)

u
(iii)

w
(iv)

l
(v)

b

Question 40

40.

Which of the following is not equal to set A = {0,6,7,3,9}?

(i)

{6,0,9,3,7}
(ii)

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

{7,9,0,3,6}
(iv)

{3,9,6,7,0}
(v)

{3,6,0,9,7}

Question 41

41.

Which of the following is an empty set?

(i)

{o}
(ii)

{0}
(iii)

{∅}
(iv)

{empty}
(v)

{}

Question 42

42.

Which of the following is a null set?

(i)

{0}
(ii)

∅
(iii)

{empty}
(iv)

{∅}
(v)

{o}

Question 43

43.

Which of the following are null sets?

a)

{8,1,6}

b)

{}

c)

{∅}

d)

{empty}

e)

∅

(i)

{b,e}
(ii)

{a,b}
(iii)

{c,e}
(iv)

{d,a,b}
(v)

{c,e,b}

Question 44

44.

Which of the following sets are not equivalent to set {1,5,8,9,2,3}?

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

(i)

{d,c,a}
(ii)

{d,c}
(iii)

{b,a}
(iv)

{e,b,a}
(v)

{a,c}

Question 45

45.

Which of the following are equivalent sets?

a)

{-7,4}

b)

{1,6,-7,-8,-2}

c)

{4,-5,9}

d)

{7,-9,-4,2}

e)

{-3,-8,8}

(i)

{d,a,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{a,c}
(v)

{b,e,c}

Question 46

46.

Which of the following sets have same cardinality?

a)

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

b)

{0,-6,5,9,-5}

c)

{5,1,-3,4}

d)

{8,9,-6,7,-1,-3}

e)

{0,5,6,-9,-1}

(i)

{c,e}
(ii)

{a,b}
(iii)

{b,e}
(iv)

{d,a,b}
(v)

{c,e,b}

Question 47

47.

Which of the following is a subset of set A = {-7,5,-3,4,8}?

(i)

{-3,4,-7,8,-6}
(ii)

{4,-3,5,8,-7,3}
(iii)

{∅}
(iv)

μ
(v)

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

Question 48

48.

Which of the following is a subset of set A = {9,-1,6,8,5}?

(i)

μ
(ii)

{9,-9,-1,5,6,8}
(iii)

{-6,5,9,6,8}
(iv)

{∅}
(v)

∅

Question 49

49.

Which of the following is a proper subset of A = {5,3,2}?

(i)

{2,5,4}
(ii)

{5,3,2}
(iii)

{2,1}
(iv)

{0,3}
(v)

{3,5}

Question 50

50.

Find the number of proper subsets of A = {2,1,0}

(i)

6
(ii)

9
(iii)

7
(iv)

5
(v)

8

Question 51

51.

What is the cardinality of an empty set?

(i)

0
(ii)

4
(iii)

5
(iv)

9
(v)

7

Question 52

52.

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

(i)

Q
(ii)

Q'
(iii)

N
(iv)

Z
(v)

W

Question 53

53.

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

(i)

W
(ii)

Z
(iii)

Q
(iv)

R
(v)

N

Question 54

54.

Which of the following symbols represent the set of Integers ?

(i)

R
(ii)

Q
(iii)

Z
(iv)

N
(v)

Q'

Question 55

55.

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

(i)

R
(ii)

Q
(iii)

Q'
(iv)

Z
(v)

N

Question 56

56.

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

(i)

Q
(ii)

R
(iii)

Z
(iv)

W
(v)

Q'

Question 57

57.

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

(i)

N
(ii)

Q'
(iii)

Z
(iv)

Q
(v)

R

Assignment Key