EduSahara™ Worksheet

Question 1

1.

If A = {9,4,2,6,10}, which of the following are true?

a)

{9,10}
⊂
A

b)

A
⊃
9

c)

9
∈
A

d)

9
∉
A

e)

9
⊂
A

(i)

{e,b,a}
(ii)

{d,c}
(iii)

{a,c}
(iv)

{b,a}
(v)

{d,c,a}

Question 2

2.

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

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

(i)

{d,e,a}
(ii)

{b,a}
(iii)

{c,a}
(iv)

{a}

Question 3

3.

If A = {w,r,e,o,j}, which of the following are true?

a)

w
⊂
A

b)

A
⊃
w

c)

{w,r}
⊂
A

d)

w
∈
A

e)

w
∉
A

(i)

{a,c}
(ii)

{c,d}
(iii)

{b,d}
(iv)

{e,a,c}
(v)

{b,d,c}

Question 4

4.

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)	∅ ⊂ B
e)	C ⊃ B

(i)

{a,b,d}
(ii)

{c,d}
(iii)

{a,c,e}
(iv)

{a,b}
(v)

{b,d,e}

Question 5

5.

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)

{a,e}
(ii)

{e}
(iii)

{b,e}
(iv)

{c,d,e}

Question 6

6.

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

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

(i)

{c,a,d}
(ii)

{d,e}
(iii)

{b,e,d}
(iv)

{a,d}
(v)

{b,e}

Question 7

7.

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

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

(i)

{d}
(ii)

{a,d}
(iii)

{b,d}
(iv)

{c,e,d}

Question 8

8.

D =
{12,14,18,17,19,15,11}
and E =
{3,7,6,1,5,10,8,9,4,2}
,

which of the following are true?

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

(i)

{b,d,c}
(ii)

{a,c}
(iii)

{b,d}
(iv)

{c,d}
(v)

{e,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)

μ
(iii)

⊅
(iv)

⊄
(v)

⊇

Question 16

16.

Which of the following is a subset of set A = {5,2,-4,-1,-2}?

(i)

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

{-9,-1,-4,5,-2,2}
(iii)

μ
(iv)

{∅}
(v)

{-4,4,-2,2,-1}

Question 17

17.

Which of the following is a subset of set A = {-5,-7,3,1,7}?

(i)

∅
(ii)

{1,7,-5,-9,-7}
(iii)

{∅}
(iv)

{8,3,-5,1,-7,7}
(v)

μ

Question 18

18.

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

(i)

{5,1}
(ii)

{4,5}
(iii)

{0,5}
(iv)

{1,2,3}
(v)

{1,3,5}

Question 19

19.

Find the number of proper subsets of A = {5}

(i)

2
(ii)

3
(iii)

1
(iv)

(-2)
(v)

0

Question 20

20.

Which of the following is not a subset of A = {9,1,3,6,0,5,4}?

(i)

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

{3,5,6,0,4,1}
(iii)

{4,1,3,5,6}
(iv)

{9,8,6,1,4,3}
(v)

{0,6,4,9,3,1}

Question 21

21.

Which of the following is superset of A = {2,3,6,4}?

(i)

{3,2}
(ii)

{2,3,6}
(iii)

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

{6,9,3,2}
(v)

{3,8,6,2,4}

Question 22

22.

Which of the following is not a superset of A = {8,3,4}?

(i)

{3,4,8}
(ii)

{3,4,8,7}
(iii)

{0,8,4,3}
(iv)

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

{3,4,0}

Question 23

23.

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

(i)

figure 3
(ii)

figure 4
(iii)

figure 2
(iv)

figure 1
(v)

None of the above

Question 24

24.

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

(i)

{2,4}
(ii)

{5,1,0}
(iii)

{2,5,3}
(iv)

{0,2,4,1}
(v)

{2,4,5}

Question 25

25.

Which of the following is a subset of A = {8,7,0,9}?

(i)

{9,7}
(ii)

{1,4,6}
(iii)

{6,9,7}
(iv)

{8,9,6,0}
(v)

{9,4,6,7}

Question 26

26.

Which of the following is a subset of A = {2,11,14,6,4,5,9,13,7}?

(i)

{0,3,12}
(ii)

{9,6,7,5,3,11,13,14,2}
(iii)

{11,2,9,5,14,6,4}
(iv)

{4,6,9,12,0,5,2,14,11}
(v)

{14,2,9,6,3,5,4,11}

Question 27

27.

Find μ

(i)

{3,2,9,-7,-5,-1,4,-9,8,0}
(ii)

{-5,2,0,10,-7,3,4,-9,-1,9}
(iii)

{2,-5,4,-1,3,0,-9,1,8,9,-7}
(iv)

{3,-1,2,-7,-5,12,10,-9,4,5}
(v)

{12,-7,-1,-9,3,4,5,2,-5,1,10,0}

Question 28

28.

Find A ∪ μ

(i)

{5,-9,11,-3,12,-2,-8,3,-7,-4,4,1}
(ii)

{9,8,3,-2,-7,-1,1,-9,4,-8,-4}
(iii)

{8,-9,-4,-2,-8,3,-1,4,12,-7}
(iv)

{-7,3,-8,8,4,-4,-2,-1,-9,9}
(v)

{3,-4,12,-8,4,-3,-7,-2,11,-9}

Question 29

29.

Find A ∩ μ

(i)

{8,-5,0,4,9,2,-1}
(ii)

{4,-5,9,8,2}
(iii)

{6,8,9,-1,-4,-5}
(iv)

{-1,8,6,-5,9}
(v)

{9,8,0,6,-5}

Question 30

30.

If A = {-6,-8,-7,0,3,-2,2} and μ = {-6,-8,-7,0,3,-2,2,-4,1,8,-1}, find A ∪ μ

(i)

{-4,-6,1,-7,0,3,8,-1,4,-2,-8,2,5}
(ii)

{1,0,8,2,-4,-6,-8,-1,-2,-7,5}
(iii)

{}
(iv)

{-4,-6,0,3,-8,2,-2,-1,8,1,-7}
(v)

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

Question 31

31.

If A = {6,5,0,-2,4} and μ = {6,5,0,-2,4,-5,3,1}, find A ∩ μ

(i)

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

{-2,5,2,1,6}
(iii)

{}
(iv)

{0,-2,4,5}
(v)

{4,6,0,5,-2}

Question 32

32.

Find n(μ)

(i)

7
(ii)

9
(iii)

10
(iv)

5
(v)

8

Question 33

33.

Find n(A ∪ μ)

(i)

10
(ii)

11
(iii)

14
(iv)

8
(v)

12

Question 34

34.

Find n(A ∩ μ)

(i)

7
(ii)

5
(iii)

8
(iv)

9
(v)

6

Assignment Key