EduSahara™ Worksheet

Question 1

1.

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

(i)

{2}
(ii)

{0,2,4}
(iii)

{2,1}
(iv)

{}
(v)

{0,4,1}

Question 2

2.

Which of the following is a subset of A = {5,2,3,9}?

(i)

{10,3,7}
(ii)

{3,4}
(iii)

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

{3}
(v)

{7,10,4}

Question 3

3.

Which of the following is a subset of A = {0,1,14,7,4,10,2}?

(i)

{1,10,12,5,7}
(ii)

{1,4,2,15,0,14,7}
(iii)

{1,10,5,7}
(iv)

{12,5,15}
(v)

{7,1,10}

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

(i)

35
(ii)

29
(iii)

32
(iv)

33
(v)

31

Question 11

11.

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

(i)

{5,2}
(ii)

{2,4,5}
(iii)

{3,4,2}
(iv)

{1,2}
(v)

{2,0}

Question 12

12.

Find the number of proper subsets of A = {3,1}

(i)

3
(ii)

2
(iii)

1
(iv)

6
(v)

4

Question 13

13.

Which of the following is not a subset of A = {4,9,1,2,8,3}?

(i)

{8,3,1,4,2}
(ii)

{4,9,1,2,8,3}
(iii)

{1,3,8,2,9}
(iv)

{7,3,1,9,2}
(v)

{2,1,9,4}

Question 14

14.

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

(i)

{7,3,4,2}
(ii)

{8,4,7}
(iii)

{9,7,3}
(iv)

{3}
(v)

{7,3}

Question 15

15.

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

(i)

{6,1,8}
(ii)

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

{8,1,9}
(iv)

{6,8,9,1}
(v)

{2,9,1,8}

Question 16

16.

If A = {7,8,2,6,1}, which of the following are true?

a)

1
∈
A

b)

A
⊃
1

c)

1
⊂
A

d)

1
∉
A

e)

{8,7}
⊂
A

(i)

{b,a}
(ii)

{c,e}
(iii)

{c,e,a}
(iv)

{d,b,a}
(v)

{a,e}

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 = {m,w,k,f,u}, which of the following are true?

a)

w
⊂
A

b)

{k,w}
⊂
A

c)

A
⊃
w

d)

w
∈
A

e)

w
∉
A

(i)

{c,d,b}
(ii)

{b,d}
(iii)

{c,d}
(iv)

{e,a,b}
(v)

{a,b}

Question 19

19.

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

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

(i)

{e,b}
(ii)

{d,e,c}
(iii)

{d,a,b}
(iv)

{d,a}
(v)

{a,b,c}

Question 20

20.

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

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

(i)

{b,e}
(ii)

{c,d,e}
(iii)

{a,e}
(iv)

{e}

Question 21

21.

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

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

(i)

{d,a,c}
(ii)

{c,e}
(iii)

{b,e}
(iv)

{a,c}
(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}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{b,a}

Question 23

23.

D =
{13,14,11,17,15,16,19}
and E =
{7,8,3,1,5,6,2,4,9,10}
,

which of the following are true?

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

(i)

{a,d,e}
(ii)

{b,c,e}
(iii)

{b,a}
(iv)

{c,d}
(v)

{b,a,d}

Assignment Key