EduSahara™ Worksheet

Question 1

1.

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

(i)

{5,0,1}
(ii)

{4,5,3}
(iii)

{5}
(iv)

{4,0,1}
(v)

{0,5}

Question 2

2.

Which of the following is a subset of A = {10,3,4,5,9,6,0}?

(i)

{8,9,3,2,10,4,5}
(ii)

{3,10,5,8,4,9}
(iii)

{8,1,2}
(iv)

{4,3,10,5,9}
(v)

{10,3,4,0,2,5,9}

Question 3

3.

Which of the following is a subset of A = {11,3,15,0,8,13,1}?

(i)

{6,2,12}
(ii)

{0,8,13,2,3}
(iii)

{13,0,6,8,3,12}
(iv)

{13,8,3,0}
(v)

{13,1,3,6,11,15,8}

Question 4

4.

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

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

(i)

{b,a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{a}

Question 5

5.

If A = {h,b,z,q,t}, which of the following are true?

a)

A
⊃
b

b)

{q,h}
⊂
A

c)

b
⊂
A

d)

b
∈
A

e)

b
∉
A

(i)

{c,d}
(ii)

{c,d,b}
(iii)

{a,b}
(iv)

{e,a,b}
(v)

{b,d}

Question 6

6.

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

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

(i)

{a,e,d}
(ii)

{a,b}
(iii)

{a,b,c}
(iv)

{e,c}
(v)

{b,c,d}

Question 7

7.

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)

{c}
(ii)

{d,e,c}
(iii)

{b,c}
(iv)

{a,c}

Question 8

8.

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

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

(i)

{a,d}
(ii)

{c,d}
(iii)

{e,b,a}
(iv)

{c,d,a}
(v)

{b,a}

Question 9

9.

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

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

(i)

{c,a}
(ii)

{b,a}
(iii)

{d,e,a}
(iv)

{a}

Question 10

10.

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

which of the following are true?

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

(i)

{c,e}
(ii)

{b,e}
(iii)

{d,a,c}
(iv)

{b,e,c}
(v)

{a,c}

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,-7,6,5,-2}?

(i)

{∅}
(ii)

{3,-2,6,-7,2}
(iii)

{6,5,-7,2,-2}
(iv)

μ
(v)

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

Question 15

15.

Which of the following is a subset of set A = {-4,-6,0,8,-9}?

(i)

∅
(ii)

{∅}
(iii)

{2,0,-4,-9,8,-6}
(iv)

μ
(v)

{7,-4,8,-9,0}

Question 16

16.

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

(i)

29
(ii)

33
(iii)

34
(iv)

32
(v)

31

Question 17

17.

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

(i)

{3,4,1}
(ii)

{0,5}
(iii)

{2,3}
(iv)

{3,0}
(v)

{0,1,3}

Question 18

18.

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

(i)

10
(ii)

7
(iii)

6
(iv)

5
(v)

8

Question 19

19.

Which of the following is not a subset of A = {6,1,5,7,4,2,3,9,8}?

(i)

{9,1,5,4,7,3,2,6}
(ii)

{8,5,6,7,1,0,9,4}
(iii)

{6,1,5,7,4,2,3,9,8}
(iv)

{2,6,7,8,5,9,3}
(v)

{7,1,8,3,2,6,5,4}

Assignment Key