EduSahara™ Worksheet

Question 1

1.

Which of the following is a subset of A = {4,1}?

(i)

{2}
(ii)

{3,5,2}
(iii)

{2,1}
(iv)

{3,5}
(v)

{}

Question 2

2.

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

(i)

{3,10,2}
(ii)

{0,4,3}
(iii)

{4,10,3,9}
(iv)

{10,0,9}
(v)

{4,3}

Question 3

3.

Which of the following is a subset of A = {4,0,15,13,11}?

(i)

{6,4,15,13}
(ii)

{6,2,7}
(iii)

{4,15,13}
(iv)

{2,4,0,15,11}
(v)

{15,7,4,2,13}

Question 4

4.

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

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

(i)

{e}
(ii)

{c,d,e}
(iii)

{b,e}
(iv)

{a,e}

Question 5

5.

If A = {s,q,m,t,u}, which of the following are true?

a)

u
∈
A

b)

A
⊃
u

c)

u
∉
A

d)

{q}
⊂
A

e)

u
⊂
A

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{a,d}
(v)

{c,d,a}

Question 6

6.

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

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

(i)

{a,c,d}
(ii)

{e,c}
(iii)

{b,e,d}
(iv)

{b,a}
(v)

{b,a,c}

Question 7

7.

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

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

(i)

{a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{b,a}

Question 8

8.

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

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

(i)

{b,a}
(ii)

{d,c}
(iii)

{a,c}
(iv)

{d,c,a}
(v)

{e,b,a}

Question 9

9.

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

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

(i)

{b,a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{a}

Question 10

10.

D =
{15,17,19,14,12,18,16}
and E =
{6,8,4,10,2,7,9,1,5,3}
,

which of the following are true?

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

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{b,a}

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 = {-5,6,5,8,2}?

(i)

{∅}
(ii)

{-8,5,6,-5,2,8}
(iii)

{5,-3,6,-5,2}
(iv)

μ
(v)

{2,8,-5,6,5}

Question 15

15.

Which of the following is a subset of set A = {8,-6,9,-7,6}?

(i)

{∅}
(ii)

μ
(iii)

{2,6,9,-7,8,-6}
(iv)

{8,6,-8,-7,9}
(v)

∅

Question 16

16.

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

(i)

31
(ii)

34
(iii)

29
(iv)

33
(v)

32

Question 17

17.

Which of the following is a proper subset of A = {3,1,0}?

(i)

{2,0}
(ii)

{3,1,0}
(iii)

{1,4,0}
(iv)

{3,0}
(v)

{5,3}

Question 18

18.

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

(i)

17
(ii)

14
(iii)

16
(iv)

15
(v)

13

Question 19

19.

Which of the following is not a subset of A = {1,6,3,2,0,5,7}?

(i)

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

{5,0,4,2,7,3}
(iii)

{5,1,6,2,3,0}
(iv)

{1,6,3,2,0,5,7}
(v)

{0,2,3,7,6,5}

Assignment Key