EduSahara™ Worksheet

Question 1

1.

Which of the following elements does not belong to the set {i,r,g,o,n}

(i)

i
(ii)

d
(iii)

n
(iv)

o
(v)

g

Question 2

2.

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

(i)

{-7,3,-8,-4,0,5,2,9,-1,-2,4,6,1,-6}
(ii)

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

{-6,3,-4,-8,6,2,5,9,4,-7,-2,1,-1}
(iv)

{9,3,-7,-6,-1,-2,2,0,5,-4,4,-8,1}
(v)

{}

Question 3

3.

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

(i)

15
(ii)

16
(iii)

11
(iv)

13
(v)

14

Question 4

4.

If A = {6,10,4,3} and B = {2,10,8,3} , then B − A =

(i)

{2,8,14}
(ii)

{8}
(iii)

{2,8}
(iv)

{}
(v)

{2,10,8}

Question 5

5.

Which of the following is 'null set' symbol?

(i)

⊆
(ii)

∅
(iii)

∩
(iv)

↔
(v)

⊃

Question 6

6.

Which of the following is not a superset of A = {4,7,2,5,3,9,8}?

(i)

{9,2,8,7,4,3,5}
(ii)

{2,7,3,6,5,9,8,4}
(iii)

{7,9,6,3,2,5,8}
(iv)

{2,9,8,4,5,0,3,7}
(v)

{3,5,2,8,4,1,9,7}

Question 7

7.

Which of the following is an empty set?

(i)

{o}
(ii)

{0}
(iii)

{∅}
(iv)

{}
(v)

{empty}

Question 8

8.

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

(i)

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

{1,5,3,0,8}
(iii)

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

{0,5,1,3,4}
(v)

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

Question 9

9.

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

(i)

17
(ii)

12
(iii)

15
(iv)

13
(v)

14

Question 10

10.

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

(i)

5
(ii)

7
(iii)

4
(iv)

2
(v)

6

Question 11

11.

Which of the following are equivalent sets?

a)

{-1,-4,6,-5,-3,1,-8,3,4}

b)

{-4,-3,7,3,1,9,-1}

c)

{0,-6,8,7,-8,-3,-7}

d)

{-8,5,-2,-3,1,-1,0,9}

e)

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

(i)

{a,b}
(ii)

{d,c,b}
(iii)

{b,c}
(iv)

{d,c}
(v)

{e,a,b}

Question 12

12.

If A = {-3,-1,7,-4,1,0} and μ = {-3,-1,7,-4,1,0,2,6,-7,-8}, find A ∩ μ

(i)

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

{1,-1,7,-4,0,-3}
(iii)

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

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

{-3,-4,7,1,-1}

Question 13

13.

Which of the following is not equal to set A = {7,9,2,6,1,0,5,4,10}?

(i)

{7,4,5,10,2,0,1,6,9}
(ii)

{7,9,5,4,2,10,1,0,6}
(iii)

{1,9,5,10,0,6,7,8,4}
(iv)

{1,6,2,9,10,0,4,5,7}
(v)

{1,2,5,0,10,4,7,6,9}

Question 14

14.

Which of the following is a null set?

(i)

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

{-3,8,4}
(iii)

{-3,6}
(iv)

{}
(v)

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

Question 15

15.

Which of the following are true?

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

(i)

{d,c,b}
(ii)

{b,c}
(iii)

{d,c}
(iv)

{e,a,b}
(v)

{a,b}

Question 16

16.

If A = {14,4,12,6,7} and B = {2,11,9,10,7} , then B − A =

(i)

{2,10,9,11}
(ii)

{11,10,2}
(iii)

{}
(iv)

{11,10,9,2,18}
(v)

{11,7,9,2,10}

Question 17

17.

If μ = {0,3,2,-5,5,-1,-8,-7,4,7,-9,10,1,6,9,-6,8,-3}, A = {0,3,2,-5,5,-1,-8} and B = {-7,4,3,7,-5,-9,10}, find A'

(i)

{1,-3,10,9,7,6,-6,-9,-7,8}
(ii)

{1,6,7,-6,10,8,-3,-9,-7,9,4}
(iii)

{}
(iv)

{6,-6,-7,10,7,4,-3,1,8,-9}

Question 18

18.

Which of the following is 'subset' symbol?

(i)

∈
(ii)

⊂
(iii)

⊃
(iv)

↔
(v)

∩

Question 19

19.

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

(i)

W
(ii)

R
(iii)

Z
(iv)

Q'
(v)

Q

Question 20

20.

If μ = {6,2,1,8,4,7,-6,-1,-7,5,3,-3,-8,-5}, A = {6,2,1,8,4} and B = {7,-6,4,-1,8,-7}, find B' ∩ A'

(i)

{}
(ii)

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

{5,-5,3,-8}

Question 21

21.

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

(i)

{9,-2}
(ii)

{-2}
(iii)

{-7}
(iv)

{-2,-7}
(v)

{-7,9,-2}

Question 22

22.

Which of the following is a subset of set A = {-2,-8,1,0,-3}?

(i)

{-5,0,-8,-2,-3}
(ii)

{∅}
(iii)

μ
(iv)

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

{-8,-3,6,0,-2,1}

Question 23

23.

If A = {5,6,3,1,10}, which of the following are true?

a)

3
∈
A

b)

3
⊂
A

c)

3
∉
A

d)

A
⊃
3

e)

{10}
⊂
A

(i)

{a,e}
(ii)

{c,e,a}
(iii)

{b,a}
(iv)

{d,b,a}
(v)

{c,e}

Question 24

24.

Which of the following is a subset of A = {1,3,2}?

(i)

{2,1,4}
(ii)

{3,1,5}
(iii)

{0,5,4}
(iv)

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

{2,1}

Question 25

25.

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

(i)

3
(ii)

5
(iii)

0
(iv)

1
(v)

2

Assignment Key