EduSahara™ Worksheet

Question 1

1.

Find n(A' ∪ B')

(i)

12
(ii)

9
(iii)

10
(iv)

13
(v)

11

Question 2

2.

Find ( (A − B) ∪ (B − A) )'

(i)

{-4,4,2,1,-8}
(ii)

{}
(iii)

{-8,2,-4,4}

Question 3

3.

Find A ∪ μ

(i)

{}
(ii)

{-2,1,2,-9}
(iii)

{-6,5,6,4,-9,3}
(iv)

{7,-9,1,2,-2}
(v)

{-9,6,-6,4}

Question 4

4.

Find A'

(i)

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

{}
(iii)

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

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

Question 5

5.

In a class of 30 students, each one reads either 'The Hindu' or 'News Today' or both. If 16 students read 'The Hindu' and 28 students read 'News Today', how many read 'The Hindu' only?

(i)

1
(ii)

2
(iii)

4
(iv)

3
(v)

(-1)

Question 6

6.

In a class of 34 students, if 27 students like 'long jump', 5 students like 'running' and 3 students like both the games, how many like 'running' only ?

(i)

0
(ii)

1
(iii)

2
(iv)

4
(v)

3

Question 7

7.

Find n((A − B)')

(i)

13
(ii)

11
(iii)

10
(iv)

12
(v)

14

Question 8

8.

In a class of 21 students, each one likes either 'table tennis' or 'shotput' or both. If 21 students like 'table tennis' and 15 students like 'shotput', how many like 'shotput' only?

(i)

0
(ii)

(-1)
(iii)

(-2)
(iv)

3
(v)

1

Question 9

9.

Find n(A')

(i)

4
(ii)

1
(iii)

5
(iv)

2
(v)

3

Question 10

10.

Find n(A ∩ μ)

(i)

3
(ii)

7
(iii)

6
(iv)

5
(v)

4

Question 11

11.

Find n(A ∪ μ)

(i)

7
(ii)

9
(iii)

4
(iv)

8
(v)

6

Question 12

12.

Find (A ∩ B)'

(i)

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

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

{}
(iv)

{-2,-5,-3,-4,2,0,4,9,-7,3,8}

Question 13

13.

Find n((A')')

(i)

8
(ii)

7
(iii)

6
(iv)

10
(v)

5

Question 14

14.

Find n(A ∪ A')

(i)

8
(ii)

7
(iii)

6
(iv)

10
(v)

9

Question 15

15.

In a class of 24 students, each one reads either 'Indian Express' or 'Deccan Chronicle' or both. If 23 students read 'Indian Express' and 11 students read 'Deccan Chronicle', how many read both the news papers?

(i)

10
(ii)

13
(iii)

11
(iv)

7
(v)

9

Question 16

16.

A − B
=

(i)

{11,-2,-5,1,9}
(ii)

{1,-2,-5,9}
(iii)

{0,1,-5,-2,9}
(iv)

{1,-2,-5}
(v)

{5,-8,3,7}

Question 17

17.

Find B' ∩ A'

(i)

{}
(ii)

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

{-9,9,8,-7,1}

Question 18

18.

Find n(A − B)

(i)

4
(ii)

2
(iii)

1
(iv)

0
(v)

3

Question 19

19.

Find A' ∪ B'

(i)

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

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

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

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

{}

Question 20

20.

In a class of 32 students, if 13 students prefer 'Scooter', 14 students prefer 'Moped' and 5 students prefer both the modes of transport, how many do not prefer any of the modes of transport ?

(i)

8
(ii)

11
(iii)

9
(iv)

12
(v)

10

Question 21

21.

Find A ∪ ∅

(i)

{7,0,-10,5}
(ii)

{0,-9,6,7}
(iii)

{7,5,0,-10,-1,2}
(iv)

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

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

Question 22

22.

Find n(A)

(i)

4
(ii)

3
(iii)

7
(iv)

5
(v)

1

Question 23

23.

In a class of 27 students, if 16 students prefer 'By Foot', 24 students prefer 'Car' and 15 students prefer both the modes of transport, how many prefer 'By Foot' only ?

(i)

2
(ii)

(-1)
(iii)

1
(iv)

3
(v)

0

Question 24

24.

In a class of 28 students, each one prefers either 'Car' or 'School Bus' or both. If 14 students prefer 'Car' and 25 students prefer 'School Bus', how many prefer both the modes of transport?

(i)

12
(ii)

10
(iii)

14
(iv)

8
(v)

11

Question 25

25.

Which of the following diagrams represent equal sets?

(i)

figure 1
(ii)

figure 2
(iii)

figure 4
(iv)

figure 3

Assignment Key