EduSahara™ Worksheet

Question 1

1.

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

(i)

{3,4,0,8,5}
(ii)

{4,6,3,5}
(iii)

{5,0,4,3}
(iv)

{4,5,0}
(v)

{5,3,0}

Question 2

2.

Which of the following elements does not belong to the set {v,n,p,x,l}

(i)

v
(ii)

l
(iii)

j
(iv)

n
(v)

x

Question 3

3.

Which of the following are true?

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

(i)

{a,b}
(ii)

{d,b}
(iii)

{d,b,a}
(iv)

{e,c,a}
(v)

{c,a}

Question 4

4.

Which of the following elements belong to the set {8,5,7,6,10}?

(i)

14
(ii)

(-2)
(iii)

(-1)
(iv)

8
(v)

15

Question 5

5.

Which of the following is an empty set?

(i)

{empty}
(ii)

{0}
(iii)

{}
(iv)

{o}
(v)

{∅}

Question 6

6.

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,c}
(iii)

{b,e,c}
(iv)

{a,c}
(v)

{b,e}

Question 7

7.

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

(i)

3
(ii)

0
(iii)

6
(iv)

2
(v)

4

Question 8

8.

If A = {2,1,10,5,4} and B = {10,8,0,2,4} , then B ∩ A =

(i)

{10,11,2,4}
(ii)

{1,10,2,4,5}
(iii)

{10,2,4,8}
(iv)

{2,10,4}
(v)

{4,5,2,10}

Question 9

9.

If A = {9,5,-7,-9,4} and μ = {9,5,-7,-9,4,3,0,7}, find A ∪ A

(i)

{4,-7,14,5,-12}
(ii)

{-7,-9,5,4,9}
(iii)

{-7,-9,5,9}
(iv)

{-7,9,-9,2,1,4,5}
(v)

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

Question 10

10.

Which of the following symbols represent the set of Integers ?

(i)

Z
(ii)

R
(iii)

N
(iv)

Q
(v)

Q'

Question 11

11.

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

(i)

0
(ii)

(-3)
(iii)

2
(iv)

1
(v)

(-1)

Question 12

12.

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

(i)

Q'
(ii)

Z
(iii)

Q
(iv)

N
(v)

W

Question 13

13.

Which of the following is 'intersection' symbol?

(i)

∩
(ii)

⊄
(iii)

⊃
(iv)

∈
(v)

⊂

Question 14

14.

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

(i)

(-1)
(ii)

1
(iii)

2
(iv)

4
(v)

3

Question 15

15.

Which of the following are null sets?

a)

{5,7,4}

b)

{∅}

c)

{empty}

d)

∅

e)

{}

(i)

{b,e}
(ii)

{a,d}
(iii)

{c,a,d}
(iv)

{b,e,d}
(v)

{d,e}

Question 16

16.

If A = {4,3,2,14,0} and B = {7,12,9,14,2} , then A ∪ B =

(i)

{0,14,9,2,3,7,12,4}
(ii)

{14,4,2,9,0,12,3}
(iii)

{18,9,12,3,4,2,0,14,7}
(iv)

{18,0,9,2,14,7,4,3}
(v)

{12,4,7,3,9,0,14}

Question 17

17.

If A = {5,9,1,4,15} and B = {0,4,14,13,3} , then B ∪ A =

(i)

{18,9,0,14,3,4,5,1,15,13}
(ii)

{15,13,3,0,5,9,1,4}
(iii)

{15,14,5,1,3,4,0,13}
(iv)

{0,3,5,13,14,4,9,1,15}
(v)

{0,3,14,9,1,13,15,4,18}

Question 18

18.

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

(i)

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

{3,10,-3,2,14,-5,1}
(iii)

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

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

{-5,8,-4,1,5,9,2}

Question 19

19.

If A = {1,5,0,14,6,9,3} and B = {4,3,12,10,0,6,2} , then A ∩ B =

(i)

{5,6,0,9,3}
(ii)

{3,18,0,6}
(iii)

{3,0,6,12}
(iv)

{0,6,3}
(v)

{9,6,3,0}

Question 20

20.

Which of the following are disjoint sets?

(i)
{7,16,5,17}

,

{20,15,11,10}
(ii)
{4,7,16,5,17,6}

,

{4,7,16,5,17,6}
(iii)
{4,7,16,5,17,6}

,

{20,15,11,4,10,6}
(iv)
{}

,

{4,7,16,5,17,6}
(v)
{4,7,16,5,17,6}

,

{}

Question 21

21.

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

(i)

8
(ii)

12
(iii)

10
(iv)

9
(v)

11

Question 22

22.

Which of the following is a singleton set?

(i)

{-5}
(ii)

{4,2,-6,-7,-3}
(iii)

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

{-3,6}
(v)

{-3,-6,4}

Question 23

23.

What is the cardinality of an empty set?

(i)

4
(ii)

8
(iii)

6
(iv)

3
(v)

0

Question 24

24.

If A = {3,6,1} and B = {0,4,5} , then B ∩ A =

(i)

{}
(ii)

{14}
(iii)

{0}
(iv)

{1,5}
(v)

{6}

Question 25

25.

Which of the following sets have same cardinality?

a)

{9,5,1,7,-5,4,-1,8}

b)

{2,9,-7,3,-3,8,-6,1,-9}

c)

{-3,-4,-9,6,8,1}

d)

{-5,-2,9,-4,-7,-3,6}

e)

{1,2,-5,5,-8,7,8}

(i)

{d,e}
(ii)

{b,e}
(iii)

{c,a,d}
(iv)

{a,d}
(v)

{b,e,d}

Assignment Key