EduSahara™ Worksheet

Question 1

1.

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

(i)

{2}
(ii)

{2,5}
(iii)

{2,5,4}
(iv)

{}
(v)

{5}

Question 2

2.

Which of the following is a subset of A = {0,8,6,10}?

(i)

{}
(ii)

{10,5,0,6}
(iii)

{9}
(iv)

{5,9,7}
(v)

{5,7}

Question 3

3.

Which of the following is a subset of A = {10,15,7,11,4}?

(i)

{3}
(ii)

{4,10,12,15,7}
(iii)

{9,12}
(iv)

{}
(v)

{12,9,3}

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 = {4,1,5,0,3}

(i)

34
(ii)

31
(iii)

33
(iv)

29
(v)

32

Question 11

11.

Which of the following is a proper subset of A = {3,2,4}?

(i)

{1,4,2}
(ii)

{3,0}
(iii)

{2,5}
(iv)

{2,3}
(v)

{3,2,4}

Question 12

12.

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

(i)

5
(ii)

7
(iii)

6
(iv)

8
(v)

10

Question 13

13.

Which of the following is not a subset of A = {6,9,4,8,5}?

(i)

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

{5,9,8}
(iii)

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

{6,9,4,8,5}
(v)

{5,6,1,9}

Question 14

14.

Which of the following is superset of A = {5,6,1}?

(i)

{1,6,0}
(ii)

{5}
(iii)

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

{5,1}
(v)

{5,6,2}

Question 15

15.

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

(i)

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

{4,6,8}
(iii)

{8,4,2,6}
(iv)

{9,8,4,6}
(v)

{0,4,8}

Question 16

16.

If A = {7,3,2,5,4}, which of the following are true?

a)

7
⊂
A

b)

{2}
⊂
A

c)

7
∈
A

d)

7
∉
A

e)

A
⊃
7

(i)

{a,b}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{b,c}
(v)

{d,c}

Question 17

17.

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)

{e}
(ii)

{b,e}
(iii)

{a,e}
(iv)

{c,d,e}

Question 18

18.

If A = {b,d,p,q,u}, which of the following are true?

a)

u
∉
A

b)

{d,p}
⊂
A

c)

A
⊃
u

d)

u
⊂
A

e)

u
∈
A

(i)

{d,a,b}
(ii)

{c,e,b}
(iii)

{a,b}
(iv)

{c,e}
(v)

{b,e}

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)	C ⊃ B
d)	∅ ⊂ B
e)	B ⊃ A

(i)

{c,d,e}
(ii)

{a,c}
(iii)

{a,c,d}
(iv)

{b,d}
(v)

{a,b,e}

Question 20

20.

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

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

(i)

{b,e}
(ii)

{a,e}
(iii)

{e}
(iv)

{c,d,e}

Question 21

21.

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

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

(i)

{d,a,c}
(ii)

{a,c}
(iii)

{c,e}
(iv)

{b,e}
(v)

{b,e,c}

Question 22

22.

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

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

(i)

{a,d}
(ii)

{c,e,d}
(iii)

{b,d}
(iv)

{d}

Question 23

23.

D =
{14,15,13,16,18,12,11}
and E =
{5,10,2,4,9,1,8,6,7,3}
,

which of the following are true?

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

(i)

{a,d}
(ii)

{e,b,a}
(iii)

{c,d}
(iv)

{b,a}
(v)

{c,d,a}

Assignment Key