EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {1}?

(i)

{5,3,4}
(ii)

{3}
(iii)

{}
(iv)

{5,3}

Question 2

2.

Which of the following is a subset of A = {6,10,4,1,9,7}?

(i)

{5,3,0}
(ii)

{5,9,1}
(iii)

{10,7,0,6,9,4}
(iv)

{1,9}
(v)

{9,0,3,1}

Question 3

3.

Which of the following is a subset of A = {2,5,3,14,1,7,0,13,4}?

(i)

{5,0,10,14,1,2,4,7,3}
(ii)

{10,3,5}
(iii)

{6,10,12}
(iv)

{3,6,12,5}
(v)

{3,5}

Question 4

4.

Which of the following is 'subset' symbol?

(i)

↔
(ii)

⊅
(iii)

⊂
(iv)

⊆
(v)

⊄

Question 5

5.

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

(i)

⊄
(ii)

∪
(iii)

⊆
(iv)

∈
(v)

⊃

Question 6

6.

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

(i)

⊄
(ii)

⊅
(iii)

⊆
(iv)

↔
(v)

⊃

Question 7

7.

Which of the following is 'superset' symbol?

(i)

⊅
(ii)

∈
(iii)

∪
(iv)

⊃
(v)

⊆

Question 8

8.

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

(i)

⊇
(ii)

∩
(iii)

↔
(iv)

⊂
(v)

∉

Question 9

9.

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

(i)

∈
(ii)

⊅
(iii)

∪
(iv)

∩
(v)

↔

Question 10

10.

Find the number of subsets of A = {3,0,4,1,2}

(i)

30
(ii)

31
(iii)

35
(iv)

32
(v)

33

Question 11

11.

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

(i)

{2,0}
(ii)

{0,2,3}
(iii)

{5,0}
(iv)

{2,1}
(v)

{2,4,0}

Question 12

12.

Find the number of proper subsets of A = {3,5,2,1,4,0}

(i)

62
(ii)

60
(iii)

63
(iv)

66
(v)

64

Question 13

13.

Which of the following is not a subset of A = {1,2,3,7,0}?

(i)

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

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

{2,3,1}
(iv)

{1,2,3,7,0}
(v)

{1,2,7,3}

Question 14

14.

Which of the following is superset of A = {9,0,7,1,5}?

(i)

{9,1,0}
(ii)

{5,1,9,8,7}
(iii)

{5,1,6,9,0}
(iv)

{1,5,7,0}
(v)

{2,9,0,5,1,7}

Question 15

15.

Which of the following is not a superset of A = {1,6,9,5,4}?

(i)

{1,6,4,5,2,9}
(ii)

{1,5,6,4,7,9}
(iii)

{1,6,9,5,4,8}
(iv)

{6,5,4,1,9}
(v)

{5,1,6,9,8}

Question 16

16.

If A = {7,6,2,1,10}, which of the following are true?

a)

A
⊃
10

b)

10
∈
A

c)

10
⊂
A

d)

{1,6}
⊂
A

e)

10
∉
A

(i)

{e,a,b}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{b,d}
(v)

{c,d,b}

Question 17

17.

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

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

(i)

{c,d,e}
(ii)

{a,e}
(iii)

{b,e}
(iv)

{e}

Question 18

18.

If A = {h,b,y,x,f}, which of the following are true?

a)

f
⊂
A

b)

{y,x}
⊂
A

c)

f
∉
A

d)

f
∈
A

e)

A
⊃
f

(i)

{c,d,b}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{e,a,b}
(v)

{b,d}

Question 19

19.

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

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

(i)

{c,d,e}
(ii)

{a,b,e}
(iii)

{c,a,b}
(iv)

{d,b}
(v)

{c,a}

Question 20

20.

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

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

(i)

{c}
(ii)

{a,c}
(iii)

{b,c}
(iv)

{d,e,c}

Question 21

21.

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

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

(i)

{b,a}
(ii)

{c,e,a}
(iii)

{d,b,a}
(iv)

{a,e}
(v)

{c,e}

Question 22

22.

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

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

(i)

{c,d,e}
(ii)

{b,e}
(iii)

{a,e}
(iv)

{e}

Question 23

23.

D =
{14,11,12,13,17,15,16}
and E =
{3,9,10,4,5,2,7,1,8,6}
,

which of the following are true?

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

(i)

{b,d}
(ii)

{c,d,b}
(iii)

{c,d}
(iv)

{a,b}
(v)

{e,a,b}

Assignment Key