EduSahara™ Worksheet

Question 1

1.

If A = {1,8,0,4,13} and B = {9,6,1,12,7} , then B ∪ A =

(i)

{12,8,0,6,4,7,1,13,9}
(ii)

{13,6,1,4,9,7,12,8}
(iii)

{4,8,12,9,1,7,6,16,0,13}
(iv)

{18,7,6,0,1,8,4,13,9}
(v)

{4,7,8,0,1,13,12,6}

Question 2

2.

Which of the following are null sets?

a)

{empty}

b)

∅

c)

{}

d)

{7,3,6}

e)

{∅}

(i)

{b,c}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{d,c,b}
(v)

{e,a,b}

Question 3

3.

If μ = {5,-8,1,9,0,-9,-2,-3,-7,4,-5,3,-4,-1}, A = {5,-8,1,9,0,-9,-2} and B = {-3,-9,5}, find n(B)

(i)

2
(ii)

0
(iii)

3
(iv)

4
(v)

6

Question 4

4.

If A = {5,4,0} and B = {5,2,1} , then A ∪ B =

(i)

{4,1,2,0,5}
(ii)

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

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

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

{1,4,6,5,0,2}

Question 5

5.

Which of the following are overlapping sets?

(i)
{7,12,4,16,17,14,11}

,

{5,18,10}
(ii)
{7,12,4,16,17,14,11}

,

{5,17,18,11,10,14}
(iii)
{7,12,4,16,17,14,11}

,

{}
(iv)
{7,12,4,16}

,

{5,18,10}
(v)
{7,12,4,16}

,

{5,17,18,11,10,14}

Question 6

6.

If A = {9,6,5,10,8} and B = {4,2,7,1,3} , then A ∩ B =

(i)

{5}
(ii)

{}
(iii)

{2,1}
(iv)

{14}
(v)

{4}

Question 7

7.

Which of the following symbols represent the set of Integers ?

(i)

N
(ii)

W
(iii)

Z
(iv)

R
(v)

Q

Question 8

8.

If μ = {1,-1,-7,-3,3,7,-6,-2,2}, A = {1,-1,-7} and B = {-3,3,7,-1}, find n(A ∪ B)

(i)

7
(ii)

6
(iii)

5
(iv)

8
(v)

3

Question 9

9.

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

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

(i)

{c,e}
(ii)

{d,a,b}
(iii)

{a,b}
(iv)

{c,e,b}
(v)

{b,e}

Question 10

10.

If A = {15,3,10,9,11,7,8} and B = {8,2,13,6,7,15,5} , then A ∩ B =

(i)

{7,15,18,8}
(ii)

{8,15,7}
(iii)

{15,7,2,8}
(iv)

{8,7,3,15}
(v)

{7,11,15,10,8}

Question 11

11.

Which of the following elements does not belong to the set {b,g,r,s,d}

(i)

w
(ii)

b
(iii)

g
(iv)

d
(v)

r

Question 12

12.

Which of the following is 'union' symbol?

(i)

⊄
(ii)

⊆
(iii)

∪
(iv)

∉
(v)

⊃

Question 13

13.

Which of the following is a null set?

(i)

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

{-8,4,3,9}
(iii)

{9,-7,8,-6,6}
(iv)

{}
(v)

{-6,3}

Question 14

14.

Which of the following is 'null set' symbol?

(i)

⊅
(ii)

⊆
(iii)

∪
(iv)

∅
(v)

⊇

Question 15

15.

If A = {2,6,-7} and μ = {2,6,-7,-8,-3}, find A ∩ μ

(i)

{-7,9,2}
(ii)

{2,-7}
(iii)

{-7,6,2}
(iv)

{5,8,-7}
(v)

{6,-7,5,2,0}

Question 16

16.

Which of the following elements belong to the set {9,3,6,5,7}?

(i)

(-4)
(ii)

14
(iii)

15
(iv)

(-5)
(v)

3

Question 17

17.

What is the cardinality of an empty set?

(i)

7
(ii)

3
(iii)

2
(iv)

0
(v)

5

Question 18

18.

Which of the following elements does not belong to the set {9,8,3,7,10}?

(i)

10
(ii)

6
(iii)

3
(iv)

7
(v)

9

Question 19

19.

Which of the following are disjoint sets?

(i)
{2,6,17,7,12,4}

,

{}
(ii)
{2,6,17,7,12,4}

,

{2,6,17,7,12,4}
(iii)
{}

,

{2,6,17,7,12,4}
(iv)
{2,6,12}

,

{13,3,9}
(v)
{2,6,17,7,12,4}

,

{13,3,7,9,17,4}

Question 20

20.

If A = {4,-1,9,8,-2,-8,-7} and μ = {4,-1,9,8,-2,-8,-7,6,-5,-4,7}, find A ∪ A

(i)

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

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

{4,-7,0,13,2,-8,8}
(iv)

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

{-7,8,-1,-8,4,9,-2}

Question 21

21.

If A = {3,7,1,10} and B = {4,9,8,10} , then A ∪ B =

(i)

{4,9,7,3,11,1,8,10}
(ii)

{4,10,12,1,9,8,3}
(iii)

{1,8,3,9,4,10}
(iv)

{10,3,4,7,8,1}
(v)

{10,9,1,3,8,7,4}

Question 22

22.

Find the cardinality of A = {7,5,9,-9,6,2,1,-2}

(i)

7
(ii)

9
(iii)

11
(iv)

8
(v)

5

Question 23

23.

Which of the following is 'belongs to' symbol?

(i)

∈
(ii)

⊇
(iii)

∪
(iv)

∉
(v)

⊂

Question 24

24.

If A = {4,3,0} and B = {0,1,2} , then B ∪ A =

(i)

{1,4,3,0}
(ii)

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

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

{3,4,9,1,2}
(v)

{3,0,10,1,4,2}

Question 25

25.

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

(i)

⊄
(ii)

∪
(iii)

⊅
(iv)

∉
(v)

∩

Assignment Key