EduSahara™ Worksheet

Question 1

1.

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

(i)

8
(ii)

3
(iii)

5
(iv)

6
(v)

7

Question 2

2.

If A = {5,13,11} , B = {9,5,10} and C = {13,11,10} , then B ∪ (C ∪ A) =

(i)

{}
(ii)

{13,11,5,9,10}
(iii)

{11,13,10,5}
(iv)

{5,11,20,10,9,13}

Question 3

3.

D =
{19,16,12,15,18,13,17}
and E =
{5,4,10,1,6,2,8,9,3,7}
,

which of the following are true?

a)	A ↔ C
b)	A = B
c)	C ↔ D
d)	A ⊂ C
e)	C = D

(i)

{d,c,b}
(ii)

{d,c}
(iii)

{e,a,b}
(iv)

{a,b}
(v)

{b,c}

Question 4

4.

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

(i)

{6,-6}
(ii)

{0,6,-6}
(iii)

{}

Question 5

5.

Which of the following elements belong to the set {3,4,6,2,10}?

(i)

11
(ii)

12
(iii)

0
(iv)

4
(v)

(-1)

Question 6

6.

Which of the following is a subset of A = {8,3,9,2,10,6}?

(i)

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

{1,9,5}
(iii)

{9}
(iv)

{4,5,1}
(v)

{9,1}

Question 7

7.

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

(i)

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

{}
(iii)

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

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

{-3,1,-1,7,-4,-5,4,-9}

Question 8

8.

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

(i)

8
(ii)

7
(iii)

10
(iv)

9
(v)

5

Question 9

9.

Which of the following is 'intersection' symbol?

(i)

⊆
(ii)

∈
(iii)

⊃
(iv)

∩
(v)

↔

Question 10

10.

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

(i)

6
(ii)

7
(iii)

8
(iv)

9
(v)

5

Question 11

11.

If A = {e,x,t,r,w}, which of the following are true?

a)

{r,w}
⊂
A

b)

x
∉
A

c)

A
⊃
x

d)

x
⊂
A

e)

x
∈
A

(i)

{a,e}
(ii)

{c,e}
(iii)

{b,a}
(iv)

{c,e,a}
(v)

{d,b,a}

Question 12

12.

If A = {3,8,13,11} , B = {6,1,2} and C = {13,4,11} , then C ∪ (A ∪ B) =

(i)

{}
(ii)

{8,2,20,1,4,6,11,13,3}
(iii)

{8,4,3,2,11,6,13}
(iv)

{11,6,1,3,2,13,8}
(v)

{2,13,4,1,3,8,11,6}

Question 13

13.

If μ = {0,-4,-5,-9,7,-6,-8,5,-3,4,8,9,-7}, A = {0,-4,-5,-9,7} and B = {-6,-5,-8,-4,5}, find A ∩ B

(i)

{4,-5,-4}
(ii)

{-5}
(iii)

{-4}
(iv)

{-4,-5}
(v)

{-4,8}

Question 14

14.

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

(i)

2
(ii)

0
(iii)

5
(iv)

4
(v)

3

Question 15

15.

Which of the following is 'not a superset' symbol?

(i)

∪
(ii)

∉
(iii)

⊄
(iv)

⊅
(v)

⊇

Question 16

16.

If A = {6,5,2} and B = {4,7,1} , then B ∩ A =

(i)

{12}
(ii)

{}
(iii)

{6}
(iv)

{1}
(v)

{7,4}

Question 17

17.

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

(i)

8
(ii)

10
(iii)

9
(iv)

11
(v)

6

Question 18

18.

Which of the following is 'complement' symbol?

(i)

∩
(ii)

∈
(iii)

'
(iv)

↔
(v)

⊇

Question 19

19.

Which of the following is the power set of A =
{8,1}
?

(i)

{1,0,8}
(ii)

{
{}

{8}

{1}

{8,1}

{0}
}
(iii)

{
{}

{8}

{1}
}
(iv)

{
{}

{1}
}
(v)

{
{}

{8}

{1}

{8,1}
}

Question 20

20.

Which of the following are null sets?

a)

{∅}

b)

{}

c)

{1,3,6}

d)

{empty}

e)

∅

(i)

{d,a,b}
(ii)

{c,e}
(iii)

{c,e,b}
(iv)

{b,e}
(v)

{a,b}

Question 21

21.

Which of the following is 'subset' symbol?

(i)

∈
(ii)

⊂
(iii)

∉
(iv)

∪
(v)

∩

Question 22

22.

If A = {4,3,12,0,11,7,15,13} , B = {14,11,2,6,5,0,10} and C = {10,4,1,0,2,14,8}, then B ∩ (C ∩ A) =

(i)

{7,0}
(ii)

{18,0}
(iii)

{5,0}
(iv)

{0,8}
(v)

{0}

Question 23

23.

If A = {11,6,14} , B = {9,8,0} and C = {0,11,6,2} , then A ∪ (B ∪ C) =

(i)

{9,2,0,11,6,8}
(ii)

{9,11,6,2,8,14,0}
(iii)

{}
(iv)

{11,6,14,2,0,9}
(v)

{6,2,14,16,9,0,11,8}

Question 24

24.

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

(i)

{-3,-7,-10,-8}
(ii)

{-7,-8,1,0,-9,-3}
(iii)

{-9,-7,-8}
(iv)

{-9,-4,-6,-7}
(v)

{-7,-8,-9,-3}

Question 25

25.

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

(i)

Q'
(ii)

R
(iii)

Z
(iv)

W
(v)

Q

Assignment Key