EduSahara™ Worksheet

Question 1

1.

If A = {7,9,2,5,-8,1} and μ = {7,9,2,5,-8,1,8,0,-7,4}, find A ∩ ∅

(i)

{3}
(ii)

{0,2}
(iii)

{5}
(iv)

{}

Question 2

2.

Which of the following elements does not belong to the set {e,x,c,p,b}

(i)

l
(ii)

p
(iii)

b
(iv)

c
(v)

e

Question 3

3.

Which of the following is 'intersection' symbol?

(i)

∩
(ii)

⊄
(iii)

⊅
(iv)

∪
(v)

⊃

Question 4

4.

Which of the following elements does not belong to the set {8,3,2,1,9}?

(i)

9
(ii)

3
(iii)

4
(iv)

1
(v)

8

Question 5

5.

Which of the following is an empty set?

(i)

{∅}
(ii)

{0}
(iii)

{o}
(iv)

{}
(v)

{empty}

Question 6

6.

If A = {8,10,9,6,0,13,3} and B = {11,10,6,3,9,5,13} , then B ∩ A =

(i)

{6,10,3,13,9,0}
(ii)

{18,9,10,3,6,13}
(iii)

{9,13,8,3,10,6,5}
(iv)

{11,6,13,3,9,10}
(v)

{6,9,3,13,10}

Question 7

7.

Which of the following are null sets?

a)

{}

b)

∅

c)

{∅}

d)

{1,8,7}

e)

{empty}

(i)

{a,b}
(ii)

{e,c,a}
(iii)

{d,b,a}
(iv)

{d,b}
(v)

{c,a}

Question 8

8.

Which of the following symbols represent the set of Integers ?

(i)

N
(ii)

Q'
(iii)

R
(iv)

Q
(v)

Z

Question 9

9.

Which of the following is 'null set' symbol?

(i)

∈
(ii)

⊆
(iii)

⊇
(iv)

∅
(v)

∪

Question 10

10.

If A = {0,3,13,14,10} and B = {9,3,11,8,4} , then A ∪ B =

(i)

{14,3,4,11,0,9,13,10,8}
(ii)

{9,3,10,8,14,4,13,11,19}
(iii)

{10,4,0,14,8,9,13,3}
(iv)

{0,11,8,10,4,13,14,9}
(v)

{11,4,16,13,14,0,8,3,10,9}

Question 11

11.

If A = {-3,5,3}, then n(A) = ?

(i)

3
(ii)

4
(iii)

2
(iv)

0
(v)

6

Question 12

12.

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

(i)

{5,1,0}
(ii)

{0,10,5,2,1}
(iii)

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

{2,5,1,8}
(v)

{2,1,0}

Question 13

13.

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

(i)

{2,3,5}
(ii)

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

{1,5,7,2,3}
(iv)

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

{5,2,1}

Question 14

14.

If A = {9,5,3,-1,-9,-8} and μ = {9,5,3,-1,-9,-8,2,-6,4,-5}, find A ∪ μ

(i)

{2,9,-6,5,-9,4,-1,-5,3,-8}
(ii)

{}
(iii)

{-6,-8,-1,6,8,-9,2,3,4,-3}
(iv)

{1,3,-5,5,-8,0,-1,-6,-9,4,2,9}
(v)

{9,3,5,-6,-8,-9,4,2,-5}

Question 15

15.

Which of the following are true?

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

(i)

{e,b,a}
(ii)

{d,c}
(iii)

{a,c}
(iv)

{d,c,a}
(v)

{b,a}

Question 16

16.

Which of the following is an infinite set?

(i)

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

{-6}
(iii)

{-4,9}
(iv)

{5,-8,-6}
(v)

{}

Question 17

17.

If A = {7,0,2,-6,4,1,-8} and μ = {7,0,2,-6,4,1,-8,-3,5,9,8}, find A ∪ ∅

(i)

{3,7,2,5,4,1,0,-8,-6}
(ii)

{-6,1,4,7,-8,0}
(iii)

{6,2,-6,-8,7,-2,0}
(iv)

{4,7,-3,2,-8,0,1}
(v)

{0,-8,-6,7,4,2,1}

Question 18

18.

If A = {-9,-6,-4,1,-8} and μ = {-9,-6,-4,1,-8,-7,3,7}, find A ∪ A

(i)

{-6,1,-9,-4}
(ii)

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

{-3,-8,-6,1,-7}
(iv)

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

{-5,1,-4,-8,-9}

Question 19

19.

If A = {5,1,6,3,11,2,13} and B = {10,0,7,14,12,2,3} , then A ∩ B =

(i)

{2,3}
(ii)

{2,0,3}
(iii)

{2,3,16}
(iv)

{1,3,2}
(v)

{6,0,3,2}

Question 20

20.

Which of the following sets have same cardinality?

a)

{1,-2,2,-6,-7,-4,9,7,5}

b)

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

c)

{3,8,6,4,-2,-8,9}

d)

{6,0,1,8,-2,9}

e)

{0,-3,-2,6,4,3,-4,5}

(i)

{e,a,b}
(ii)

{d,c,b}
(iii)

{b,c}
(iv)

{a,b}
(v)

{d,c}

Question 21

21.

Which of the following is a null set?

(i)

{0}
(ii)

{o}
(iii)

{∅}
(iv)

{empty}
(v)

∅

Question 22

22.

If A = {10,8,6} and B = {4,6,0} , then A ∩ B =

(i)

{6,0,4}
(ii)

{6}
(iii)

{13,6}
(iv)

{6,8}
(v)

{6,0}

Question 23

23.

Which of the following are overlapping sets?

(i)
{5,7,2,18,1,8,19,9}

,

{11,13,4,3}
(ii)
{5,7,2,18,1,8,19,9}

,

{11,13,9,4,3,8,19}
(iii)
{5,7,2,18,1}

,

{11,13,4,3}
(iv)
{5,7,2,18,1,8,19,9}

,

{}
(v)
{5,7,2,18,1}

,

{11,13,9,4,3,8,19}

Question 24

24.

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

(i)

Q'
(ii)

Z
(iii)

W
(iv)

N
(v)

R

Question 25

25.

If A = {11,10,5,1,0} and B = {14,4,5,11,3} , then B ∪ A =

(i)

{1,11,3,5,0,14,20,4}
(ii)

{0,1,4,5,3,14,11}
(iii)

{5,0,11,1,3,4,10,14}
(iv)

{14,5,10,11,0,4,1}
(v)

{14,10,3,1,11,4,16,5,0}

Assignment Key