EduSahara™ Worksheet

Question 1

1.

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

(i)

{0,-8,9,1,3}
(ii)

{-4,8,9,0,1}
(iii)

{0,3,-8,1}
(iv)

{-7,0,1,3,9}
(v)

{3,-1,9,0,4,1,-8}

Question 2

2.

Which of the following is a singleton set?

(i)

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

{8,6,9}
(iii)

{5}
(iv)

{3,-2}
(v)

{-7,3,-6,-4}

Question 3

3.

Which of the following is 'complement' symbol?

(i)

∉
(ii)

∪
(iii)

'
(iv)

∩
(v)

⊃

Question 4

4.

Which of the following diagrams represent equal sets?

(i)

figure 3
(ii)

figure 4
(iii)

figure 1
(iv)

figure 2

Question 5

5.

If A = {b,c,h,k,u}, which of the following are true?

a)

{b,h}
⊂
A

b)

A
⊃
c

c)

c
∉
A

d)

c
∈
A

e)

c
⊂
A

(i)

{c,d,a}
(ii)

{b,a}
(iii)

{c,d}
(iv)

{a,d}
(v)

{e,b,a}

Question 6

6.

Find n(μ)

(i)

8
(ii)

11
(iii)

10
(iv)

12
(v)

9

Question 7

7.

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

(i)

N
(ii)

Z
(iii)

R
(iv)

Q'
(v)

W

Question 8

8.

Which of the following is 'intersection' symbol?

(i)

⊆
(ii)

↔
(iii)

∉
(iv)

∩
(v)

∪

Question 9

9.

Find n(A ∪ ∅)

(i)

8
(ii)

6
(iii)

4
(iv)

9
(v)

7

Question 10

10.

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

(i)

W
(ii)

R
(iii)

Q
(iv)

Z
(v)

Q'

Question 11

11.

Which of the following is a null set?

(i)

{-5,-4,0,9}
(ii)

{5,0,4}
(iii)

{7,9}
(iv)

{-5,6,7,0,2}
(v)

{}

Question 12

12.

Find A ∩ ∅

(i)

{4}
(ii)

{6}
(iii)

{6,1,5,3}
(iv)

{6,5}
(v)

{}

Question 13

13.

Find the number of proper subsets of A = {0,1,5}

(i)

4
(ii)

6
(iii)

7
(iv)

8
(v)

10

Question 14

14.

Find n(B)

(i)

7
(ii)

8
(iii)

9
(iv)

6
(v)

5

Question 15

15.

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

(i)

{-7,7,6}
(ii)

{6,-7,-9,7}
(iii)

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

{-7,-2,6,-9}
(v)

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

Question 16

16.

If A = {-5,4,6} and μ = {-5,4,6,7,8}, find A ∪ μ

(i)

{10,-5,6,4,8}
(ii)

{8,-5,7,6}
(iii)

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

{4,-5,8,6,7}
(v)

{4,8,7,5,1}

Question 17

17.

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

(i)

8
(ii)

7
(iii)

4
(iv)

10
(v)

6

Question 18

18.

Which of the following is 'superset' symbol?

(i)

⊄
(ii)

∈
(iii)

⊇
(iv)

∩
(v)

⊃

Question 19

19.

Find n(A ∩ ∅)

(i)

(-1)
(ii)

1
(iii)

2
(iv)

(-2)
(v)

0

Question 20

20.

Find A ∪ B

(i)

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

{}
(iii)

{-7,8,0,-6,-9,9,5,3,-8,-1}
(iv)

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

{8,-1,3,5,-6,-8,-7,0,9}

Question 21

21.

Which of the following elements does not belong to the set {x,s,w,i,p}

(i)

s
(ii)

i
(iii)

w
(iv)

g
(v)

x

Question 22

22.

If A = {8,7,3,0,13,2,10} and B = {5,7,10,11,8,12,6} , then A ∩ B =

(i)

{20,7,10,8}
(ii)

{11,10,7,8,0}
(iii)

{8,7,10}
(iv)

{10,7,5,8}
(v)

{8,13,7,10}

Question 23

23.

Find A ∪ A

(i)

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

{6,-6,-7}
(iii)

{-6,-5,6}
(iv)

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

{-6,1,-4,6,4}

Question 24

24.

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

(i)

5
(ii)

4
(iii)

3
(iv)

6
(v)

2

Question 25

25.

If A = {2,7,3,5,8}, which of the following are true?

a)

8
∈
A

b)

8
⊂
A

c)

{3,2}
⊂
A

d)

A
⊃
8

e)

8
∉
A

(i)

{e,b,a}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{a,c}

Assignment Key