EduSahara™ Worksheet

Question 1

1.

If A = {6,2,0,4} and B = {0,9,8,2} , then A ∪ B =

(i)

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

{0,4,2,6,8,9}
(iii)

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

{2,4,0,9,6,15}
(v)

{0,8,2,4,6,11,9}

Question 2

2.

Which of the following is 'does not belongs to' symbol?

(i)

∩
(ii)

⊂
(iii)

∈
(iv)

⊄
(v)

∉

Question 3

3.

Which of the following is 'belongs to' symbol?

(i)

⊅
(ii)

∩
(iii)

∈
(iv)

↔
(v)

⊂

Question 4

4.

Find n(A ∩ μ)

(i)

2
(ii)

4
(iii)

3
(iv)

6
(v)

5

Question 5

5.

If μ = {-2,8,-9,-8,7,0,5,-3,3,-4,4,-5,-7,9,2}, A = {-2,8,-9,-8,7,0,5} and B = {-3,3,-2,-4}, find n((A ∪ B) − (A ∩ B))

(i)

7
(ii)

9
(iii)

10
(iv)

8
(v)

12

Question 6

6.

If A = {5,7,6,10,2}, which of the following are true?

a)

{7,10}
⊂
A

b)

A
⊃
10

c)

10
∈
A

d)

10
∉
A

e)

10
⊂
A

(i)

{d,c}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{a,c}

Question 7

7.

Which of the following is 'superset' symbol?

(i)

∉
(ii)

∩
(iii)

↔
(iv)

∪
(v)

⊃

Question 8

8.

If A = {5,3,1,9,15} and B = {6,1,0,3,15} , then A − B =

(i)

{9,3,5}
(ii)

{6,0}
(iii)

{9}
(iv)

{9,5,17}
(v)

{9,5}

Question 9

9.

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

(i)

↔
(ii)

∈
(iii)

⊆
(iv)

⊅
(v)

∩

Question 10

10.

Find the cardinality of A = {9,-2,4}

(i)

3
(ii)

2
(iii)

4
(iv)

6
(v)

1

Question 11

11.

Find A

(i)

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

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

{-4,8,6,5,-7,3,-6}
(iv)

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

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

Question 12

12.

Find (A − B) ∪ (B − A)

(i)

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

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

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

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

{9,6,-3,0,-4,8,5,10}

Question 13

13.

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

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

(i)

{a,d}
(ii)

{d}
(iii)

{c,e,d}
(iv)

{b,d}

Question 14

14.

Which of the following is 'intersection' symbol?

(i)

∈
(ii)

⊃
(iii)

∩
(iv)

∪
(v)

⊄

Question 15

15.

Which of the following is a subset of A = {5,2,0}?

(i)

{5,2}
(ii)

{0,2,1}
(iii)

{1,4,3}
(iv)

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

{4,5,2}

Question 16

16.

D =
{12,17,15,16,11,19,14}
and E =
{1,9,5,7,4,8,2,3,6,10}
,

which of the following are true?

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

(i)

{b,a}
(ii)

{d,c}
(iii)

{e,b,a}
(iv)

{d,c,a}
(v)

{a,c}

Question 17

17.

If A = {15,10,12,7,3,2} and B = {12,3,10,8,15,2} , then B − A =

(i)

{19,8}
(ii)

{8}
(iii)

{8,12}
(iv)

{}

Question 18

18.

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

(i)

⊇
(ii)

⊆
(iii)

↔
(iv)

∪
(v)

∉

Question 19

19.

If A = {9,2,5} and B = {10,7,1} , then B − A =

(i)

{0,10,7,1}
(ii)

{10,1}
(iii)

{}
(iv)

{7,10,1}
(v)

{1,7,10,13}

Question 20

20.

Which of the following is an empty set?

(i)

{o}
(ii)

{}
(iii)

{0}
(iv)

{empty}
(v)

{∅}

Question 21

21.

For any two non-empty sets A and B, which of the following are true?

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

(i)

{a,d}
(ii)

{b,e,d}
(iii)

{c,a,d}
(iv)

{d,e}
(v)

{b,e}

Question 22

22.

Find μ

(i)

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

{4,2,-11,12,-6,3,5,0,1}
(iii)

{-5,5,1,12,3,2,-6}
(iv)

{1,3,-6,12,-11,4,2}
(v)

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

Question 23

23.

Which of the following diagrams represent equivalent sets?

(i)

figure 1
(ii)

figure 4
(iii)

figure 2
(iv)

None of the above
(v)

figure 3

Question 24

24.

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

(i)

{4,0}
(ii)

{5,0}
(iii)

{2,1,0}
(iv)

{0,3,2}
(v)

{2,0}

Question 25

25.

Which of the following symbols represent the set of Natural numbers ?

(i)

Q'
(ii)

N
(iii)

R
(iv)

W
(v)

Z

Assignment Key