EduSahara™ Worksheet

Question 1

1.

Which of the following is a null set?

(i)

∅
(ii)

{empty}
(iii)

{∅}
(iv)

{o}
(v)

{0}

Question 2

2.

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

(i)

0
(ii)

3
(iii)

2
(iv)

4
(v)

6

Question 3

3.

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

(i)

3
(ii)

7
(iii)

1
(iv)

5
(v)

4

Question 4

4.

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

(i)

N
(ii)

W
(iii)

Z
(iv)

Q'
(v)

R

Question 5

5.

Which of the following elements does not belong to the set {o,x,k,g,z}

(i)

x
(ii)

z
(iii)

k
(iv)

u
(v)

o

Question 6

6.

Which of the following is a singleton set?

(i)

{5,-4,9}
(ii)

{4,-1,-9,-7}
(iii)

{-2,-6,2,5,6}
(iv)

{1}
(v)

{0,8}

Question 7

7.

If A = {0,3,7,9} and B = {5,4,7,8} , then A ∪ B =

(i)

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

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

{8,3,5,7,4,9,13}
(iv)

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

{4,9,7,0,3,8,12,5}

Question 8

8.

Which of the following elements belong to the set {1,2,9,4,5}?

(i)

13
(ii)

12
(iii)

(-3)
(iv)

(-2)
(v)

5

Question 9

9.

Which of the following elements does not belong to the set {8,10,3,5,4}?

(i)

4
(ii)

8
(iii)

3
(iv)

10
(v)

2

Question 10

10.

Which of the following is a null set?

(i)

{-9,-2,3,-5,6}
(ii)

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

{3,9}
(iv)

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

{}

Question 11

11.

Which of the following is an empty set?

(i)

{empty}
(ii)

{}
(iii)

{0}
(iv)

{∅}
(v)

{o}

Question 12

12.

Which of the following are null sets?

a)

{∅}

b)

{empty}

c)

{4,5,1}

d)

{}

e)

∅

(i)

{b,e}
(ii)

{a,d}
(iii)

{d,e}
(iv)

{c,a,d}
(v)

{b,e,d}

Question 13

13.

Which of the following sets have same cardinality?

a)

{-7,0,5,-5,3,-4,9}

b)

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

c)

{-5,-7,0,2,5,-1}

d)

{0,4,-2,9,3,-7,-5}

e)

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

(i)

{c,d}
(ii)

{e,b,a}
(iii)

{b,a}
(iv)

{c,d,a}
(v)

{a,d}

Question 14

14.

If A = {1,-4,-5} and μ = {1,-4,-5,6,4}, find A ∪ μ

(i)

{-4,3,1,4,-6}
(ii)

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

{6,-4,1,-5,4}
(iv)

{-4,6,-5,4}
(v)

{6,1,0,3,-4,4,-5}

Question 15

15.

If A = {-4,5,-9,8,6} and μ = {-4,5,-9,8,6,-3,-5,9}, find A ∪ A

(i)

{6,2,-9,8,-1,5,-4}
(ii)

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

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

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

{}

Question 16

16.

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

(i)

{9,14}
(ii)

{9,6}
(iii)

{9}
(iv)

{3,8,9}
(v)

{2,9}

Question 17

17.

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)

{c,a,d}
(ii)

{b,e}
(iii)

{b,e,d}
(iv)

{a,d}
(v)

{d,e}

Question 18

18.

If A = {6,-6,5} and μ = {6,-6,5,3,-1}, find A ∩ ∅

(i)

{2}
(ii)

{4}
(iii)

{}
(iv)

{-1}
(v)

{2,0}

Question 19

19.

If A = {12,8,5,0,15,1,9} and B = {6,0,4,12,9,10,13} , then B ∩ A =

(i)

{9,19,12,0}
(ii)

{0,9,4,12}
(iii)

{12,9,0}
(iv)

{15,4,0,12,9}
(v)

{9,12,0,1}

Question 20

20.

If A = {9,1,4,14,5} and B = {13,12,1,9,5} , then B ∪ A =

(i)

{4,12,1,19,13,14,5}
(ii)

{5,4,12,1,14,13}
(iii)

{12,13,5,1,16,9,4,14}
(iv)

{13,4,9,14,5,12}
(v)

{13,1,4,9,14,12,5}

Question 21

21.

If A = {-3,4,-2,5,3,-5,-7} and μ = {-3,4,-2,5,3,-5,-7,-8,-9,-6,7}, find A ∪ ∅

(i)

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

{3,-5,4,0,-7,-2,5}
(iii)

{3,-7,4,-2,-5,-3,5}
(iv)

{-5,-7,4,3,-3,5}
(v)

{5,-1,-3,3,-2,0,4}

Question 22

22.

Which of the following is 'union' symbol?

(i)

∩
(ii)

∉
(iii)

∪
(iv)

∈
(v)

⊅

Question 23

23.

Which of the following is an infinite set?

(i)

{0,1,2,3,...}
(ii)

{-9,7}
(iii)

{}
(iv)

{9}
(v)

{-1,-5,-7}

Question 24

24.

If A = {5,4,3} and B = {1,2,0} , then A ∪ B =

(i)

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

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

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

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

{3,4,0,1,8,5}

Question 25

25.

Which of the following symbols represent the set of Integers ?

(i)

W
(ii)

Q
(iii)

R
(iv)

Q'
(v)

Z

Assignment Key