EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {1,5,3}?

(i)

{4,1}
(ii)

{5,2,3}
(iii)

{1,2,4}
(iv)

{1}
(v)

{2,4,0}

Question 2

2.

Which of the following is a subset of A = {5,0,4}?

(i)

{0,4}
(ii)

{4,0,1}
(iii)

{7,1,9}
(iv)

{4,1,0,7}
(v)

{9,5,0}

Question 3

3.

Which of the following is a subset of A = {14,1,0,13,11,5}?

(i)

{14}
(ii)

{5,0,11,13,1,9}
(iii)

{10,9,14}
(iv)

{9,8,10}
(v)

{14,10}

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

(i)

32
(ii)

30
(iii)

35
(iv)

31
(v)

33

Question 11

11.

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

(i)

{1,2}
(ii)

{1,0,5}
(iii)

{3,5,1}
(iv)

{1,4}
(v)

{1,0}

Question 12

12.

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

(i)

60
(ii)

63
(iii)

66
(iv)

62
(v)

64

Question 13

13.

Which of the following is not a subset of A = {1,0,7,4,3}?

(i)

{1,3,0,5}
(ii)

{1,0,7,4,3}
(iii)

{0,1,3}
(iv)

{1,4,3,7}
(v)

{0,3,4,7}

Question 14

14.

Which of the following is superset of A = {1,9,3,7,6}?

(i)

{3,8,9,7,6}
(ii)

{7,1,6,2,9,3}
(iii)

{6,1,9}
(iv)

{3,6,7,1}
(v)

{9,7,6,5,1}

Question 15

15.

Which of the following is not a superset of A = {1,5,7}?

(i)

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

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

{5,7,1,6}
(iv)

{1,7,5}
(v)

{7,6,5}

Question 16

16.

If A = {9,4,1,2,6}, which of the following are true?

a)

{1,4}
⊂
A

b)

A
⊃
6

c)

6
∈
A

d)

6
∉
A

e)

6
⊂
A

(i)

{d,c}
(ii)

{d,c,a}
(iii)

{b,a}
(iv)

{a,c}
(v)

{e,b,a}

Question 17

17.

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

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

(i)

{b,e}
(ii)

{e}
(iii)

{c,d,e}
(iv)

{a,e}

Question 18

18.

If A = {a,i,n,s,k}, which of the following are true?

a)

k
∉
A

b)

{i,n}
⊂
A

c)

A
⊃
k

d)

k
∈
A

e)

k
⊂
A

(i)

{e,a,b}
(ii)

{c,d,b}
(iii)

{c,d}
(iv)

{b,d}
(v)

{a,b}

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)	C ⊃ B
e)	∅ ⊂ B

(i)

{a,c,e}
(ii)

{c,d}
(iii)

{b,d,e}
(iv)

{a,b,d}
(v)

{a,b}

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)

{b,c}
(ii)

{c}
(iii)

{d,e,c}
(iv)

{a,c}

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 = A
e)	A ∪ B = ∅

(i)

{a,b}
(ii)

{b,d}
(iii)

{e,a,b}
(iv)

{c,d,b}
(v)

{c,d}

Question 22

22.

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

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

(i)

{e}
(ii)

{c,d,e}
(iii)

{a,e}
(iv)

{b,e}

Question 23

23.

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

which of the following are true?

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

(i)

{a,b}
(ii)

{d,b,a}
(iii)

{d,b}
(iv)

{e,c,a}
(v)

{c,a}

Assignment Key