EduSahara™ Worksheet

Question 1

1.

If A = {0,8,5,-5,1,-9} and μ = {0,8,5,-5,1,-9,6,-1,-7,-3}, find A ∩ A

(i)

{5,-5,8,-9,2,0}
(ii)

{1,0,8,-9,5,-5}
(iii)

{-9,1,5,8,0}
(iv)

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

{-9,0,8,-1,-5,4,5,1}

Question 2

2.

Which of the following is 'intersection' symbol?

(i)

⊃
(ii)

∉
(iii)

⊇
(iv)

⊂
(v)

∩

Question 3

3.

Find n(B − A)

(i)

2
(ii)

4
(iii)

1
(iv)

6
(v)

3

Question 4

4.

Find μ

(i)

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

{-1,1,-3,2,-8,-4,11,4}
(iii)

{-1,-2,-8,-5,1,11}
(iv)

{-3,-1,1,-4,11,-8}
(v)

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

Question 5

5.

Which of the following diagrams represent equivalent sets?

(i)

figure 1
(ii)

figure 3
(iii)

figure 4
(iv)

figure 2

Question 6

6.

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

(i)

Z
(ii)

W
(iii)

Q
(iv)

Q'
(v)

N

Question 7

7.

Which of the following are true?

a)	A ∩ A' = μ
b)	A ∩ A' = A
c)	A ∪ A' = μ
d)	A ∪ A' = A
e)	A ∩ A' = ∅
f)	A ∪ A' = ∅

(i)

{c,e}
(ii)

{b,e}
(iii)

{a,c}
(iv)

{a,e,c}
(v)

{d,f,c}

Question 8

8.

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

(i)

{0,11,-5,9,-2}
(ii)

{9,-5,-2,6}
(iii)

{6,-5,-2,7,9}
(iv)

{}
(v)

{-2,7,6,9,2,-5,0}

Question 9

9.

If A = {2,0,8} and B = {4,3,6} , then A ∩ B =

(i)

{3}
(ii)

{8}
(iii)

{14}
(iv)

{3,4}
(v)

{}

Question 10

10.

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

(i)

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

{-1,1,-7,-2}
(iii)

{3,-2,-1,1,8,-7}
(iv)

{}
(v)

{-7,1,3,-1,-2}

Question 11

11.

Find n(A ∪ B)

(i)

13
(ii)

7
(iii)

11
(iv)

10
(v)

9

Question 12

12.

Which of the following are disjoint sets?

(i)
{20,10,2,12,4}

,

{20,10,2,12,4}
(ii)
{20,10,2,12,4}

,

{}
(iii)
{10,12,4}

,

{15,8,19}
(iv)
{20,10,2,12,4}

,

{20,15,8,19,2}
(v)
{}

,

{20,10,2,12,4}

Question 13

13.

Find B

(i)

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

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

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

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

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

Question 14

14.

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

(i)

{3,5,0}
(ii)

{2,0,5}
(iii)

{0,6,3,2,5}
(iv)

{6,0,5,2}
(v)

{2,0,3,5}

Question 15

15.

Which of the following is 'equivalent set' symbol?

(i)

∩
(ii)

⊆
(iii)

↔
(iv)

⊄
(v)

∈

Question 16

16.

Find B − A

(i)

{3,5}
(ii)

{}
(iii)

{5}
(iv)

{4,3}
(v)

{5,3,4}

Question 17

17.

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

(i)

3
(ii)

5
(iii)

2
(iv)

1
(v)

4

Question 18

18.

Find the cardinality of A = {-9,9,-6,8,0,-5,-2}

(i)

4
(ii)

9
(iii)

7
(iv)

6
(v)

8

Question 19

19.

Find A ∩ B

(i)

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

{-5}
(iii)

{2}
(iv)

{-5,2}
(v)

{0,-5}

Question 20

20.

Find n(A ∩ B)

(i)

1
(ii)

3
(iii)

0
(iv)

(-2)
(v)

2

Question 21

21.

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

(i)

⊇
(ii)

↔
(iii)

⊅
(iv)

∉
(v)

∈

Question 22

22.

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

(i)

{-8}
(ii)

{}

Question 23

23.

A ∩ B
=

(i)

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

{-2,1,-7}
(iii)

{-7,11,1}
(iv)

{-7,1}
(v)

{0,-9,-7,1}

Question 24

24.

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

(i)

10
(ii)

8
(iii)

9
(iv)

5
(v)

7

Question 25

25.

Which of the following is not a superset of A = {6,7,9,8}?

(i)

{9,7,1,8,6}
(ii)

{7,8,3,6}
(iii)

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

{6,8,7,9}
(v)

{7,0,9,8,6}

Assignment Key