EduSahara™ Worksheet

Question 1

1.

If A = {7,6,10,2,4}, which of the following are true?

a)

6
∉
A

b)

6
⊂
A

c)

6
∈
A

d)

A
⊃
6

e)

{2,7}
⊂
A

(i)

{a,c}
(ii)

{c,e}
(iii)

{b,e,c}
(iv)

{b,e}
(v)

{d,a,c}

Question 2

2.

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

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

(i)

{b,c}
(ii)

{a,c}
(iii)

{d,e,c}
(iv)

{c}

Question 3

3.

If A = {g,k,e,y,t}, which of the following are true?

a)

k
∉
A

b)

k
∈
A

c)

A
⊃
k

d)

{e,k}
⊂
A

e)

k
⊂
A

(i)

{b,d}
(ii)

{c,d}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{c,d,b}

Question 4

4.

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

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

(i)

{b,d,e}
(ii)

{a,b}
(iii)

{c,d}
(iv)

{a,b,d}
(v)

{a,c,e}

Question 5

5.

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

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

(i)

{c,b}
(ii)

{b}
(iii)

{d,e,b}
(iv)

{a,b}

Question 6

6.

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

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

(i)

{c,d}
(ii)

{b,d,c}
(iii)

{b,d}
(iv)

{a,c}
(v)

{e,a,c}

Question 7

7.

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

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

(i)

{b,d}
(ii)

{d}
(iii)

{c,e,d}
(iv)

{a,d}

Question 8

8.

D =
{19,13,18,15,11,12,16}
and E =
{5,1,2,7,4,6,9,10,8,3}
,

which of the following are true?

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

(i)

{a,c,d}
(ii)

{b,e,d}
(iii)

{e,c}
(iv)

{b,a}
(v)

{b,a,c}

Question 9

9.

Which of the following is 'subset' symbol?

(i)

∈
(ii)

⊂
(iii)

∩
(iv)

∉
(v)

⊆

Question 10

10.

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

(i)

⊄
(ii)

⊆
(iii)

∪
(iv)

∩
(v)

⊅

Question 11

11.

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

(i)

↔
(ii)

⊄
(iii)

∩
(iv)

⊇
(v)

⊃

Question 12

12.

Which of the following is 'superset' symbol?

(i)

⊇
(ii)

⊃
(iii)

⊄
(iv)

∉
(v)

⊆

Question 13

13.

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

(i)

⊂
(ii)

∉
(iii)

⊇
(iv)

∪
(v)

∩

Question 14

14.

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

(i)

∉
(ii)

↔
(iii)

⊆
(iv)

⊅
(v)

∈

Question 15

15.

Which of the following is 'universal set' symbol?

(i)

⊆
(ii)

↔
(iii)

⊂
(iv)

⊄
(v)

μ

Question 16

16.

Which of the following is a subset of set A = {-1,8,-3,4,7}?

(i)

{4,-1,-3,7,8}
(ii)

{-1,5,7,-3,8,4}
(iii)

{∅}
(iv)

{8,-3,4,-6,-1}
(v)

μ

Question 17

17.

Which of the following is a subset of set A = {3,7,1,2,-9}?

(i)

μ
(ii)

{∅}
(iii)

{2,5,1,3,-9,7}
(iv)

∅
(v)

{1,7,3,-1,-9}

Question 18

18.

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

(i)

{1,5,4}
(ii)

{5,3}
(iii)

{5,0}
(iv)

{2,5,4}
(v)

{4,2}

Question 19

19.

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

(i)

8
(ii)

5
(iii)

6
(iv)

7
(v)

10

Question 20

20.

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

(i)

{1,3,2,4,7}
(ii)

{2,1,7,4,8}
(iii)

{6,2,1,7,4}
(iv)

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

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

Question 21

21.

Which of the following is superset of A = {2,3,8}?

(i)

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

{2,3,5}
(iii)

{3}
(iv)

{2,8}
(v)

{3,7,8}

Question 22

22.

Which of the following is not a superset of A = {7,5,2,1}?

(i)

{1,7,3,5,2}
(ii)

{2,1,7,5,4}
(iii)

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

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

{5,1,7,2,9}

Question 23

23.

Which of the following diagrams represent 'A is subset of B'?

(i)

figure 2
(ii)

figure 3
(iii)

figure 4
(iv)

figure 1

Question 24

24.

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

(i)

{0,3,4}
(ii)

{1}
(iii)

{1,3}
(iv)

{0,1}
(v)

{4,3,1}

Question 25

25.

Which of the following is a subset of A = {8,0,7}?

(i)

{2,0,7}
(ii)

{2,10,6}
(iii)

{6,2,7,0}
(iv)

{7,0}
(v)

{}

Question 26

26.

Which of the following is a subset of A = {1,6,7,4,15,8}?

(i)

{1,7,15,3,8,4,13}
(ii)

{15,7,6,3,4,1}
(iii)

{4,1,8,15,7,14}
(iv)

{3,13,14}
(v)

{8,15,1,7,4}

Question 27

27.

Find μ

(i)

{6,4,-6,7,8}
(ii)

{7,6,4,8}
(iii)

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

{-4,7,9,11}
(v)

{11,7,2,9,1,-4}

Question 28

28.

Find A ∪ μ

(i)

{6,-6,5,0,3,-4,-9,9,-1,2,7}
(ii)

{5,-3,-1,-9,1,-2,-5,7,9,6}
(iii)

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

{9,-2,2,-4,5,0,6,7,-1,-9}
(v)

{6,2,5,-9,7,-6,0,-4,-1,9}

Question 29

29.

Find A ∩ μ

(i)

{4,-2,10,5,7,-3}
(ii)

{7,-2,-3,6,-8}
(iii)

{}
(iv)

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

{7,-3,10,-2}

Question 30

30.

If A = {0,-1,-8} and μ = {0,-1,-8,-7,9}, find A ∪ μ

(i)

{3,-8,-7,9,-1,4,0}
(ii)

{-7,-8,-1,9,0}
(iii)

{-1,-7,1,3,9}
(iv)

{9,-7,-1,-8}
(v)

{-8,0,1,9,-7}

Question 31

31.

If A = {6,-2,3} and μ = {6,-2,3,2,-4}, find A ∩ μ

(i)

{-2,7,6}
(ii)

{}
(iii)

{-2,6,0,4,3}
(iv)

{-2,6,3}
(v)

{6,3}

Question 32

32.

Find n(μ)

(i)

5
(ii)

7
(iii)

4
(iv)

6
(v)

2

Question 33

33.

Find n(A ∪ μ)

(i)

11
(ii)

13
(iii)

10
(iv)

9
(v)

12

Question 34

34.

Find n(A ∩ μ)

(i)

7
(ii)

8
(iii)

9
(iv)

6
(v)

4

Assignment Key