EduSahara™ Worksheet

Question 1

1.

If A = {10,6,3,5,7}, which of the following are true?

a)

10
∉
A

b)

10
∈
A

c)

10
⊂
A

d)

A
⊃
10

e)

{6,3}
⊂
A

(i)

{c,e,b}
(ii)

{d,a,b}
(iii)

{b,e}
(iv)

{a,b}
(v)

{c,e}

Question 2

2.

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)

{b,e}
(ii)

{c,d,e}
(iii)

{a,e}
(iv)

{e}

Question 3

3.

If A = {w,s,m,h,f}, which of the following are true?

a)

A
⊃
w

b)

{m,h}
⊂
A

c)

w
∈
A

d)

w
⊂
A

e)

w
∉
A

(i)

{d,c}
(ii)

{a,b}
(iii)

{e,a,b}
(iv)

{d,c,b}
(v)

{b,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
c)	C ⊃ B
d)	B ⊃ A
e)	B ⊂ A

(i)

{a,b}
(ii)

{a,e,d}
(iii)

{e,c}
(iv)

{b,c,d}
(v)

{a,b,c}

Question 5

5.

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

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

(i)

{c,d,e}
(ii)

{a,e}
(iii)

{e}
(iv)

{b,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 = B
e)	A ∪ B = A

(i)

{c,d}
(ii)

{e,a,b}
(iii)

{a,b}
(iv)

{b,d}
(v)

{c,d,b}

Question 7

7.

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

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

(i)

{b}
(ii)

{c,b}
(iii)

{d,e,b}
(iv)

{a,b}

Question 8

8.

D =
{19,15,11,14,17,13,12}
and E =
{6,5,4,8,9,1,7,10,2,3}
,

which of the following are true?

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

(i)

{c,d,e}
(ii)

{a,b,e}
(iii)

{d,b}
(iv)

{c,a}
(v)

{c,a,b}

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)

μ
(ii)

∈
(iii)

⊆
(iv)

∉
(v)

↔

Question 16

16.

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

(i)

{3,4,0,-8,-6}
(ii)

{∅}
(iii)

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

{0,-6,4,-4,-8}
(v)

μ

Question 17

17.

Which of the following is a subset of set A = {-9,-5,-4,-7,0}?

(i)

μ
(ii)

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

{∅}
(iv)

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

∅

Question 18

18.

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

(i)

{0,2,3}
(ii)

{4,3}
(iii)

{2,1}
(iv)

{5,2}
(v)

{4,3,2}

Question 19

19.

Find the number of proper subsets of A = {3,4,1,5,2}

(i)

31
(ii)

30
(iii)

28
(iv)

32
(v)

33

Question 20

20.

Which of the following is not a subset of A = {2,4,8,3,0,5,1}?

(i)

{3,5,2,0,8,4}
(ii)

{3,1,2,5,0,4}
(iii)

{5,4,9,0,1,8}
(iv)

{2,4,8,3,0,5,1}
(v)

{2,3,8,5,1}

Question 21

21.

Which of the following is superset of A = {2,3,5,4,6,0,7}?

(i)

{5,4,6,7,2,0}
(ii)

{3,5,6,7,4}
(iii)

{3,1,7,2,0,5,6,4}
(iv)

{0,3,2,5,9,7,6}
(v)

{6,8,3,7,2,0,5}

Question 22

22.

Which of the following is not a superset of A = {0,9,8}?

(i)

{9,0,7,8}
(ii)

{9,8,0}
(iii)

{8,4,9,0}
(iv)

{0,8,6}
(v)

{9,8,0,6}

Question 23

23.

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

(i)

figure 4
(ii)

figure 1
(iii)

figure 2
(iv)

figure 3
(v)

None of the above

Question 24

24.

Which of the following is a subset of A = {3,2,0}?

(i)

{}
(ii)

{1,5}
(iii)

{4,5,1}
(iv)

{3,0,5}
(v)

{4}

Question 25

25.

Which of the following is a subset of A = {3,4,1,0,6}?

(i)

{0,8}
(ii)

{7,10,0}
(iii)

{10,4,6,0,1}
(iv)

{10,8,7}
(v)

{0}

Question 26

26.

Which of the following is a subset of A = {8,4,13,1,15,11}?

(i)

{}
(ii)

{5,0,14}
(iii)

{0,5}
(iv)

{0,1,4,15,13,8}
(v)

{0}

Question 27

27.

Find μ

(i)

{2,-8,-7,-9,-6,1,0,-5}
(ii)

{-9,-16,-5,0,2,5,-1,-8,4}
(iii)

{-6,0,-9,-5,-7,-8,2}
(iv)

{0,-16,-5,2,-8,-9,-1}
(v)

{1,-7,-8,0,-9,-6,-5}

Question 28

28.

Find A ∪ μ

(i)

{8,-7,-3,1,6,7,0,4,-9}
(ii)

{5,8,6,-9,1,4,-1,7,-7,0,-3}
(iii)

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

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

{-3,7,3,1,0,4,-6,2,-9}

Question 29

29.

Find A ∩ μ

(i)

{-4,0}
(ii)

{0,-7}
(iii)

{0,-7,9}
(iv)

{2,-3,4,-2}
(v)

{-2,-3}

Question 30

30.

If A = {3,-4,8,-3,7,-6} and μ = {3,-4,8,-3,7,-6,2,-2,-1,-9}, find A ∪ μ

(i)

{0,3,-6,-9,-2,1,2,8,-5,7}
(ii)

{-6,3,-1,8,-9,-3,-4,-2,2,7}
(iii)

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

{-4,-2,-1,3,-9,8,-6,6,-3,2}
(v)

{8,-1,-6,-4,-9,-2,-3,3,2}

Question 31

31.

If A = {-9,-8,-6} and μ = {-9,-8,-6,3,-5}, find A ∩ μ

(i)

{}
(ii)

{-9,-10,-6}
(iii)

{-9,-6}
(iv)

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

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

Question 32

32.

Find n(μ)

(i)

9
(ii)

13
(iii)

12
(iv)

11
(v)

10

Question 33

33.

Find n(A ∪ μ)

(i)

13
(ii)

11
(iii)

10
(iv)

9
(v)

8

Question 34

34.

Find n(A ∩ μ)

(i)

6
(ii)

4
(iii)

3
(iv)

5
(v)

8

Assignment Key