EduSahara™ Worksheet

Question 1

1.

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

(i)

{2,5,1}
(ii)

{5,4}
(iii)

{3,2,1}
(iv)

{3}
(v)

{3,1}

Question 2

2.

Which of the following is a subset of A = {7,8,10,2,6}?

(i)

{0,1,9}
(ii)

{6,10,9,2,0}
(iii)

{9,2,10,6,7}
(iv)

{6,10,1,2}
(v)

{2,10,6}

Question 3

3.

Which of the following is a subset of A = {4,11,7,0,14,6,1,5,8}?

(i)

{11,0,1,14,4,5,6,2,7}
(ii)

{11,4,5,7,0,6}
(iii)

{3,9,2}
(iv)

{4,2,7,0,11,5,6}
(v)

{4,11,5,6,7,2,0,9}

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

(i)

34
(ii)

33
(iii)

31
(iv)

30
(v)

32

Question 11

11.

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

(i)

{0,1}
(ii)

{5,0,2}
(iii)

{0,3}
(iv)

{1,4}
(v)

{2,1,0}

Question 12

12.

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

(i)

15
(ii)

18
(iii)

12
(iv)

16
(v)

14

Question 13

13.

Which of the following is not a subset of A = {8,1,3,7,9}?

(i)

{7,8,9,1}
(ii)

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

{8,1,3,7,9}
(iv)

{3,9,8}
(v)

{6,8,9,7}

Question 14

14.

Which of the following is superset of A = {8,0,7,3}?

(i)

{3,8,7,9,0}
(ii)

{3,0,8}
(iii)

{5,7,8,0}
(iv)

{3,7}
(v)

{7,1,3,8}

Question 15

15.

Which of the following is not a superset of A = {9,3,7,5,2,0}?

(i)

{5,9,2,0,7,1,3}
(ii)

{7,3,2,0,5,9}
(iii)

{8,9,0,7,5,3,2}
(iv)

{5,3,7,9,2,0,6}
(v)

{5,2,9,0,8,7}

Question 16

16.

If A = {4,7,1,10,2}, which of the following are true?

a)

A
⊃
4

b)

4
∈
A

c)

{2,1}
⊂
A

d)

4
⊂
A

e)

4
∉
A

(i)

{b,c}
(ii)

{e,a,b}
(iii)

{d,c,b}
(iv)

{d,c}
(v)

{a,b}

Question 17

17.

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

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

(i)

{b}
(ii)

{d,e,b}
(iii)

{a,b}
(iv)

{c,b}

Question 18

18.

If A = {n,i,f,c,y}, which of the following are true?

a)

c
⊂
A

b)

{n,y}
⊂
A

c)

A
⊃
c

d)

c
∉
A

e)

c
∈
A

(i)

{b,e}
(ii)

{d,a,b}
(iii)

{c,e,b}
(iv)

{a,b}
(v)

{c,e}

Question 19

19.

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

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

(i)

{a,d,e}
(ii)

{b,c,e}
(iii)

{d,c}
(iv)

{a,b}
(v)

{a,b,c}

Question 20

20.

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

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

(i)

{c}
(ii)

{b,c}
(iii)

{a,c}
(iv)

{d,e,c}

Question 21

21.

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)

{b,e,d}
(ii)

{b,e}
(iii)

{d,e}
(iv)

{c,a,d}
(v)

{a,d}

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)

{d}
(ii)

{a,d}
(iii)

{b,d}
(iv)

{c,e,d}

Question 23

23.

D =
{15,11,18,17,12,16,14}
and E =
{2,4,10,8,6,9,7,1,5,3}
,

which of the following are true?

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

(i)

{b,a}
(ii)

{c,e}
(iii)

{d,b,a}
(iv)

{c,e,a}
(v)

{a,e}

Assignment Key