EduSahara™ Worksheet

Question 1

1.

Which of the following is 'intersection' symbol?

(i)

∉
(ii)

⊆
(iii)

⊅
(iv)

∩
(v)

∪

Question 2

2.

Which of the following are null sets?

a)

{}

b)

{∅}

c)

∅

d)

{8,7,1}

e)

{empty}

(i)

{a,c}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{d,c,a}
(v)

{d,c}

Question 3

3.

If A = {7,0,9} and μ = {7,0,9,2,3}, find A ∪ μ

(i)

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

{9,3,2,7}
(iii)

{2,7,0,3,9}
(iv)

{2,7,4,3,9,5,0}
(v)

{7,0,12,-2,5}

Question 4

4.

If A = {-3,-5,-8,-1} and μ = {-3,-5,-8,-1,7,2,-6}, find A ∪ ∅

(i)

{-5,-3,-8}
(ii)

{-3,-1,-5,-8}
(iii)

{-3,-5,1,3,-8,-1}
(iv)

{-3,-5,-8,2}
(v)

{-8,-6,-5,-4}

Question 5

5.

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

(i)

7
(ii)

9
(iii)

5
(iv)

10
(v)

8

Question 6

6.

Which of the following sets have same cardinality?

a)

{0,-7,-2}

b)

{9,-2,-8,-7,0}

c)

{-8,-3}

d)

{-6,-8,8,1}

e)

{0,-1,2}

(i)

{c,e}
(ii)

{b,a}
(iii)

{d,b,a}
(iv)

{c,e,a}
(v)

{a,e}

Question 7

7.

Which of the following is 'null set' symbol?

(i)

⊄
(ii)

∉
(iii)

∅
(iv)

∪
(v)

⊅

Question 8

8.

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

(i)

{1,11,8,0,6,4}
(ii)

{8,6,1,9,4}
(iii)

{}
(iv)

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

{6,9,1,13,0,8,4}

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

(i)

{a,e}
(ii)

{c,e}
(iii)

{b,a}
(iv)

{d,b,a}
(v)

{c,e,a}

Question 10

10.

Which of the following symbols represent the set of Integers ?

(i)

Q'
(ii)

Z
(iii)

N
(iv)

R
(v)

W

Question 11

11.

Find the cardinality of A = {4,1,5,-9}

(i)

4
(ii)

2
(iii)

7
(iv)

5
(v)

3

Question 12

12.

Which of the following is a null set?

(i)

{-5,-9,9,8,-3}
(ii)

{-6,8}
(iii)

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

{2,5,1,0}
(v)

{}

Question 13

13.

If A = {12,0,14,4,15} and B = {9,11,14,3,10} , then B ∪ A =

(i)

{12,15,3,11,4,14,0,9,10}
(ii)

{4,9,14,11,12,10,0,15}
(iii)

{14,11,0,10,9,4,17,15,3,12}
(iv)

{11,3,15,10,16,12,14,4,9}
(v)

{4,10,12,0,3,15,9,11}

Question 14

14.

Which of the following is a null set?

(i)

{∅}
(ii)

{0}
(iii)

{o}
(iv)

{empty}
(v)

∅

Question 15

15.

If μ = {-7,-6,2,-8,-9,9,0,-3,6,4,3,1,-2,-4,-1,-5,5}, A = {-7,-6,2,-8,-9,9,0} and B = {0,-3,9,-7,-8,2}, find n(B)

(i)

5
(ii)

7
(iii)

6
(iv)

9
(v)

4

Question 16

16.

If A = {9,4,1,0} and B = {2,9,1,0} , then A ∪ B =

(i)

{0,4,9,11,2}
(ii)

{9,2,0,1}
(iii)

{9,2,1,4}
(iv)

{9,0,1,2,4}
(v)

{1,2,11,4,0,9}

Question 17

17.

Which of the following is 'belongs to' symbol?

(i)

∈
(ii)

∉
(iii)

⊇
(iv)

⊆
(v)

⊅

Question 18

18.

If A = {5,1,-8,2,3} and μ = {5,1,-8,2,3,7,-2,0}, find A ∩ ∅

(i)

{5,2}
(ii)

{2}
(iii)

{1}
(iv)

{}

Question 19

19.

What is the cardinality of an empty set?

(i)

2
(ii)

6
(iii)

4
(iv)

1
(v)

0

Question 20

20.

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

(i)

↔
(ii)

⊂
(iii)

⊄
(iv)

∈
(v)

∉

Question 21

21.

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

(i)

{1,6,7}
(ii)

{6,1,7,-4}
(iii)

{3,2,-8,7}
(iv)

{7,6,-8,1}
(v)

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

Question 22

22.

Which of the following elements does not belong to the set {a,x,b,t,y}

(i)

a
(ii)

t
(iii)

b
(iv)

m
(v)

y

Question 23

23.

Which of the following is a singleton set?

(i)

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

{7,0,9,5,1}
(iii)

{6,-8,1,8}
(iv)

{0,-7}
(v)

{-3}

Question 24

24.

Which of the following elements does not belong to the set {5,9,4,10,8}?

(i)

9
(ii)

8
(iii)

7
(iv)

4
(v)

10

Question 25

25.

If A = {1,5,2} and B = {5,3,4} , then B ∪ A =

(i)

{1,5,4,3}
(ii)

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

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

{4,5,2,1,3,10}
(v)

{3,1,2,5,4}

Assignment Key