EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {5}?

(i)

{}
(ii)

{1,0}
(iii)

{0}
(iv)

{3}
(v)

{0,1,3}

Question 2

2.

Which of the following is a subset of A = {0,1,5,2,9}?

(i)

{7,9,2,1,5}
(ii)

{}
(iii)

{4}
(iv)

{4,8}
(v)

{7,4,8}

Question 3

3.

Which of the following is a subset of A = {9,4,0,11,6}?

(i)

{4,5}
(ii)

{5,4,15}
(iii)

{4,5,9,11,0}
(iv)

{15,5,8}
(v)

{4}

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 = {2,0,1,5,4}

(i)

33
(ii)

30
(iii)

31
(iv)

34
(v)

32

Question 11

11.

Which of the following is a proper subset of A = {1,0,2}?

(i)

{1,0}
(ii)

{4,0,1}
(iii)

{3,2}
(iv)

{1,0,2}
(v)

{2,5}

Question 12

12.

Find the number of proper subsets of A = {2}

(i)

1
(ii)

4
(iii)

0
(iv)

2
(v)

(-1)

Question 13

13.

Which of the following is not a subset of A = {1,8,4,7,3}?

(i)

{1,7,3,0}
(ii)

{1,8,4,7,3}
(iii)

{3,4,1,8}
(iv)

{4,8,7}
(v)

{1,7,8,4}

Question 14

14.

Which of the following is superset of A = {4,3,7,5}?

(i)

{3,7,8,5}
(ii)

{4,3}
(iii)

{3,9,4,7,5}
(iv)

{5,1,7,3}
(v)

{4,3,7}

Question 15

15.

Which of the following is not a superset of A = {4,3,6,8,0}?

(i)

{6,8,0,1,4,3}
(ii)

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

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

{4,3,8,0,6}
(v)

{0,4,8,6,9}

Question 16

16.

If A = {1,8,5,4,2}, which of the following are true?

a)

A
⊃
5

b)

{1,2}
⊂
A

c)

5
⊂
A

d)

5
∉
A

e)

5
∈
A

(i)

{c,e,b}
(ii)

{a,b}
(iii)

{b,e}
(iv)

{c,e}
(v)

{d,a,b}

Question 17

17.

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

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

(i)

{d}
(ii)

{a,d}
(iii)

{c,e,d}
(iv)

{b,d}

Question 18

18.

If A = {u,z,w,a,t}, which of the following are true?

a)

t
∉
A

b)

t
⊂
A

c)

A
⊃
t

d)

{u,t}
⊂
A

e)

t
∈
A

(i)

{b,e}
(ii)

{b,e,d}
(iii)

{d,e}
(iv)

{c,a,d}
(v)

{a,d}

Question 19

19.

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

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

(i)

{c,d}
(ii)

{b,d,e}
(iii)

{a,b,d}
(iv)

{a,b}
(v)

{a,c,e}

Question 20

20.

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

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

(i)

{a,c}
(ii)

{b,c}
(iii)

{c}
(iv)

{d,e,c}

Question 21

21.

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

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

(i)

{d,b,a}
(ii)

{a,e}
(iii)

{c,e}
(iv)

{b,a}
(v)

{c,e,a}

Question 22

22.

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

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

(i)

{a,b}
(ii)

{d,e,b}
(iii)

{c,b}
(iv)

{b}

Question 23

23.

D =
{16,12,13,14,19,18,11}
and E =
{4,2,8,1,3,9,7,5,6,10}
,

which of the following are true?

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

(i)

{c,d}
(ii)

{b,d}
(iii)

{a,c}
(iv)

{b,d,c}
(v)

{e,a,c}

Assignment Key