EduSahara™ Worksheet

Question 1

1.

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

(i)

{1,4,5,2}
(ii)

{}
(iii)

{4,2}
(iv)

{0,2,4}
(v)

{5,1,0}

Question 2

2.

Which of the following is a subset of A = {8,9,2,10,6}?

(i)

{8,10,6,2}
(ii)

{10,8,6,3,2}
(iii)

{3,5,6,10,2,8}
(iv)

{1,8,9,10,2}
(v)

{1,5,3}

Question 3

3.

Which of the following is a subset of A = {12,2,14,3,11}?

(i)

{1,8,2}
(ii)

{2,11,12,3,0}
(iii)

{2}
(iv)

{8,0,1}
(v)

{8,2}

Question 4

4.

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)

{d,e,b}
(ii)

{a,b}
(iii)

{c,b}
(iv)

{b}

Question 5

5.

If A = {b,z,k,f,s}, which of the following are true?

a)

{f}
⊂
A

b)

b
∉
A

c)

A
⊃
b

d)

b
⊂
A

e)

b
∈
A

(i)

{c,e,a}
(ii)

{b,a}
(iii)

{a,e}
(iv)

{d,b,a}
(v)

{c,e}

Question 6

6.

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

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

(i)

{a,b}
(ii)

{b,c,e}
(iii)

{d,c}
(iv)

{a,d,e}
(v)

{a,b,c}

Question 7

7.

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)

{d}
(ii)

{a,d}
(iii)

{b,d}
(iv)

{c,e,d}

Question 8

8.

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

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

(i)

{e,a,b}
(ii)

{d,c}
(iii)

{b,c}
(iv)

{a,b}
(v)

{d,c,b}

Question 9

9.

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)

{c,b}
(ii)

{b}
(iii)

{d,e,b}
(iv)

{a,b}

Question 10

10.

D =
{16,12,19,14,13,17,11}
and E =
{1,3,8,9,7,10,6,4,5,2}
,

which of the following are true?

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

(i)

{d,a,c}
(ii)

{b,e,c}
(iii)

{b,e}
(iv)

{a,c}
(v)

{c,e}

Question 11

11.

Which of the following is 'subset' symbol?

(i)

⊃
(ii)

∩
(iii)

⊆
(iv)

⊂
(v)

∪

Question 12

12.

Which of the following is 'subset or equal to' symbol?

(i)

⊂
(ii)

↔
(iii)

⊆
(iv)

⊄
(v)

∉

Question 13

13.

Which of the following is 'not a subset' symbol?

(i)

↔
(ii)

⊃
(iii)

⊄
(iv)

∩
(v)

⊇

Question 14

14.

Which of the following is a subset of set A = {-2,-5,-8,8,-4}?

(i)

μ
(ii)

{∅}
(iii)

{-2,-4,-7,-5,-8,8}
(iv)

{8,-8,-5,-4,1}
(v)

{-2,8,-4,-5,-8}

Question 15

15.

Which of the following is a subset of set A = {-8,-9,-4,2,3}?

(i)

∅
(ii)

μ
(iii)

{-5,2,-8,-9,-4,3}
(iv)

{∅}
(v)

{8,-9,-4,3,2}

Question 16

16.

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

(i)

33
(ii)

30
(iii)

34
(iv)

31
(v)

32

Question 17

17.

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

(i)

{1,4,0}
(ii)

{2,5}
(iii)

{0,5,4}
(iv)

{3,4}
(v)

{5,0}

Question 18

18.

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

(i)

16
(ii)

13
(iii)

15
(iv)

14
(v)

18

Question 19

19.

Which of the following is not a subset of A = {0,9,8,2,4,7}?

(i)

{9,4,2,7,8}
(ii)

{0,9,8,2,4,7}
(iii)

{4,7,8,9,2}
(iv)

{9,4,7,0}
(v)

{5,2,9,0,4}

Assignment Key