EduSahara™ Worksheet

Question 1

1.

Which of the following diagrams represent equivalent sets?

(i)

figure 1
(ii)

None of the above
(iii)

figure 3
(iv)

figure 4
(v)

figure 2

Question 2

2.

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

(i)

R
(ii)

W
(iii)

Z
(iv)

N
(v)

Q

Question 3

3.

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

(i)

5
(ii)

2
(iii)

8
(iv)

4
(v)

6

Question 4

4.

Find n(B)

(i)

2
(ii)

7
(iii)

4
(iv)

3
(v)

5

Question 5

5.

Which of the following diagrams represent equal sets?

(i)

figure 1
(ii)

figure 3
(iii)

figure 2
(iv)

figure 4

Question 6

6.

Find A ∪ B

(i)

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

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

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

{-6,-3,-9,-7,3,-4}
(v)

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

Question 7

7.

Which of the following is a subset of A = {5,1}?

(i)

{3,5}
(ii)

{2,3,5}
(iii)

{2,3,4}
(iv)

{3,1}
(v)

{5}

Question 8

8.

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

(i)

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

{}
(iii)

{1,-8,-2,-6,6,8,2}
(iv)

{1,-2,-8,-6,2}
(v)

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

Question 9

9.

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

(i)

4
(ii)

3
(iii)

5
(iv)

2
(v)

6

Question 10

10.

Which of the following is 'subset' symbol?

(i)

⊂
(ii)

∈
(iii)

∪
(iv)

⊆
(v)

⊅

Question 11

11.

Which of the following is not a subset of A = {5,3,4,8,1,7}?

(i)

{8,3,6,1,5}
(ii)

{5,7,3,4,8}
(iii)

{1,4,8,3}
(iv)

{1,5,7,3,8}
(v)

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

Question 12

12.

Which of the following is 'superset' symbol?

(i)

⊃
(ii)

⊇
(iii)

∉
(iv)

⊅
(v)

⊆

Question 13

13.

Which of the following is not a superset of A = {8,1,6,0,9}?

(i)

{8,0,3,9,6,1}
(ii)

{8,0,6,4,1,9}
(iii)

{9,6,0,8,1}
(iv)

{9,0,2,6,1,8}
(v)

{1,0,3,8,9}

Question 14

14.

If A = {-3,6,1,-8,8,4,-6,9}, then n(A) = ?

(i)

9
(ii)

5
(iii)

8
(iv)

11
(v)

7

Question 15

15.

Find μ

(i)

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

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

{}
(iv)

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

{4,1,-6,-9,-2,-3,-4,-5,7}

Question 16

16.

If A = {7,4,2,5} and B = {0,1,7,5} , then B − A =

(i)

{0}
(ii)

{1,0,13}
(iii)

{0,7,1}
(iv)

{}
(v)

{0,1}

Question 17

17.

Find A ∪ A

(i)

{7,0,3,-4,11,-1}
(ii)

{3,-5,6,8}
(iii)

{3,-5,7,8}
(iv)

{11,-4,7,0}
(v)

{6,8,-5,2,3}

Question 18

18.

Which of the following is a subset of A = {8,1,13,6,15,5,10}?

(i)

{13,5,8,3,10,6,1}
(ii)

{7,12,3}
(iii)

{5,8,15,3}
(iv)

{15,8,5}
(v)

{15,8,5,12,3}

Question 19

19.

Find (A ∪ B) − (A ∩ B)

(i)

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

{7,-5,-1,-4,0,3,4,-3}
(iii)

{-3,0,4,3,7,-4,-5}
(iv)

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

{4,-3,0,-8,-5,7,-1,-4,3}

Question 20

20.

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

(i)

10
(ii)

11
(iii)

7
(iv)

12
(v)

9

Question 21

21.

Find n(A ∪ B)

(i)

10
(ii)

9
(iii)

8
(iv)

12
(v)

6

Question 22

22.

If A = {y,z,v,a,x}, which of the following are true?

a)

{a}
⊂
A

b)

a
∈
A

c)

a
⊂
A

d)

A
⊃
a

e)

a
∉
A

(i)

{c,a}
(ii)

{d,b,a}
(iii)

{e,c,a}
(iv)

{d,b}
(v)

{a,b}

Question 23

23.

Which of the following is 'complement' symbol?

(i)

∪
(ii)

⊃
(iii)

'
(iv)

∉
(v)

⊂

Question 24

24.

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

(i)

{7,2,6,3,-2,5}
(ii)

{-5,1,7,6,5,3,-2}
(iii)

{7,0,3,2,5,6,-2}
(iv)

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

{5,6,1,7,0,-2,3}

Question 25

25.

Which of the following is equivalent set of A = {8,3,6}?

(i)

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

{8,6}
(iii)

{-2,-8,-9,3}
(iv)

{-2,-8,-9}
(v)

{4}

Assignment Key