EduSahara™ Worksheet

Question 1

1.

If A = {2,8,1,6,4}, which of the following are true?

a)

6
∈
A

b)

6
⊂
A

c)

A
⊃
6

d)

6
∉
A

e)

{2}
⊂
A

(i)

{d,b,a}
(ii)

{b,a}
(iii)

{c,e,a}
(iv)

{c,e}
(v)

{a,e}

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)

{c,a}
(ii)

{a}
(iii)

{d,e,a}
(iv)

{b,a}

Question 3

3.

If A = {m,o,c,r,d}, which of the following are true?

a)

A
⊃
d

b)

d
∈
A

c)

d
⊂
A

d)

d
∉
A

e)

{r,m}
⊂
A

(i)

{c,e,b}
(ii)

{d,a,b}
(iii)

{b,e}
(iv)

{a,b}
(v)

{c,e}

Question 4

4.

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

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

(i)

{a,c,e}
(ii)

{b,a}
(iii)

{d,c}
(iv)

{b,d,e}
(v)

{b,a,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)

{a}
(ii)

{d,e,a}
(iii)

{c,a}
(iv)

{b,a}

Question 6

6.

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

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

(i)

{b,e}
(ii)

{d,a,c}
(iii)

{c,e}
(iv)

{b,e,c}
(v)

{a,c}

Question 7

7.

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

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

(i)

{c,d,e}
(ii)

{e}
(iii)

{b,e}
(iv)

{a,e}

Question 8

8.

D =
{15,11,18,13,12,14,19}
and E =
{5,9,8,3,2,10,6,7,4,1}
,

which of the following are true?

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

(i)

{e,a,b}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{d,c,b}
(v)

{b,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 = {6,-9,-3,1,-6}?

(i)

{-3,-9,1,-6,9,6}
(ii)

{∅}
(iii)

{6,-3,-9,-6,1}
(iv)

μ
(v)

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

Question 17

17.

Which of the following is a subset of set A = {-3,9,0,8,-6}?

(i)

{∅}
(ii)

∅
(iii)

{-3,-6,0,8,4,9}
(iv)

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

μ

Question 18

18.

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

(i)

{2,4}
(ii)

{1,4,0}
(iii)

{5,0,1}
(iv)

{3,4}
(v)

{1,0}

Question 19

19.

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

(i)

31
(ii)

33
(iii)

29
(iv)

32
(v)

30

Question 20

20.

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

(i)

{4,7,5,6,2,9,8}
(ii)

{6,2,4,8,9,5}
(iii)

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

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

{9,7,2,4,8,5}

Question 21

21.

Which of the following is superset of A = {5,0,6,1,3,4}?

(i)

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

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

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

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

{1,5,3,0,6}

Question 22

22.

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

(i)

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

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

{3,6,1,0,7,4,5,9}
(iv)

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

{3,7,6,9,5,1,2}

Question 23

23.

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

(i)

figure 4
(ii)

figure 2
(iii)

None of the above
(iv)

figure 3
(v)

figure 1

Question 24

24.

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

(i)

{0,2}
(ii)

{0,3,2}
(iii)

{0}
(iv)

{2}
(v)

{}

Question 25

25.

Which of the following is a subset of A = {10,4,3,2,9,5}?

(i)

{9,1,4,3}
(ii)

{7,0,1}
(iii)

{3,7,9,1,4}
(iv)

{2,9,3,5,7,4}
(v)

{4,3,9}

Question 26

26.

Which of the following is a subset of A = {10,11,13,8,12,3}?

(i)

{8,3,4,12,10,13}
(ii)

{10,13,3,8,11}
(iii)

{4,5,3,10,13,8,11}
(iv)

{4,9,5}
(v)

{10,11,5,3,8,13}

Question 27

27.

Find μ

(i)

{6,0,-7,2}
(ii)

{-12,0,2,5}
(iii)

{1,3,-12,2,5,0}
(iv)

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

{-7,-1,6,0}

Question 28

28.

Find A ∪ μ

(i)

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

{-10,-1,-9,-6,9,5,4,-3,-2,2,1,-4}
(iii)

{-3,-10,-9,-1,-6,5,-2,-4,4,9}
(iv)

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

{-1,9,-4,4,-9,-5,-3,-7,1,-6}

Question 29

29.

Find A ∩ μ

(i)

{0,-6,7}
(ii)

{7,-2,-9}
(iii)

{0,-6,7,-8}
(iv)

{0,-8,7}
(v)

{-9,-2,3,7,-1}

Question 30

30.

If A = {4,7,0,-3,-8} and μ = {4,7,0,-3,-8,-5,-7,9}, find A ∪ μ

(i)

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

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

{-8,9,10,-5,4,-7,0,-3}
(iv)

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

{-6,11,9,-8,-3,-5,7,0}

Question 31

31.

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

(i)

{-3,-7,7}
(ii)

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

{-11,-8,7,-5}
(iv)

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

{-4,-3,-8,7}

Question 32

32.

Find n(μ)

(i)

10
(ii)

6
(iii)

8
(iv)

5
(v)

7

Question 33

33.

Find n(A ∪ μ)

(i)

10
(ii)

6
(iii)

5
(iv)

8
(v)

7

Question 34

34.

Find n(A ∩ μ)

(i)

8
(ii)

6
(iii)

7
(iv)

9
(v)

5

Assignment Key