EduSahara™ Worksheet

Question 1

1.

In a class of 19 students, each one likes either 'wrestling' or 'swimming' or both. If 18 students like 'wrestling' and 8 students like 'swimming', how many like 'wrestling' only?

(i)

10
(ii)

11
(iii)

12
(iv)

13
(v)

9

Question 2

2.

Find A' ∪ B'

(i)

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

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

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

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

{}

Question 3

3.

In a class of 26 students, if 11 students prefer 'Scooter', 22 students prefer 'Car' and 10 students prefer both the modes of transport, how many do not prefer any of the modes of transport ?

(i)

4
(ii)

0
(iii)

6
(iv)

3
(v)

2

Question 4

4.

Find n(A)

(i)

6
(ii)

5
(iii)

8
(iv)

3
(v)

4

Question 5

5.

Find A ∪ A

(i)

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

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

{-3,6,-2}
(iv)

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

{}

Question 6

6.

A ∩ B
=

(i)

{-8,-1}
(ii)

{-1}
(iii)

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

{-1,-7}
(v)

{-1,14}

Question 7

7.

Find n(A')

(i)

10
(ii)

8
(iii)

12
(iv)

11
(v)

13

Question 8

8.

Find n(∅)

(i)

(-2)
(ii)

0
(iii)

1
(iv)

3
(v)

(-1)

Question 9

9.

Find n(A ∩ A')

(i)

(-2)
(ii)

3
(iii)

1
(iv)

(-1)
(v)

0

Question 10

10.

In a class of 27 students, each one likes either 'Singing' or 'Painting' or both. If 24 students like 'Singing' and 7 students like 'Painting', how many like 'Singing' only?

(i)

19
(ii)

21
(iii)

18
(iv)

20
(v)

23

Question 11

11.

Find A ∪ ∅

(i)

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

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

{4,2,-7,-10,-4}
(iv)

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

{3,-4,2,0,4,-10,-7}

Question 12

12.

In a class of 15 students, each one likes either 'boxing' or 'volleyball' or both. If 9 students like 'boxing' and 10 students like 'volleyball', how many like 'volleyball' only?

(i)

7
(ii)

9
(iii)

6
(iv)

4
(v)

5

Question 13

13.

Find n(A)

(i)

6
(ii)

4
(iii)

5
(iv)

3
(v)

1

Question 14

14.

Find (A ∩ B)'

(i)

{-5,10,8,7,-3,-6,-1,-7,-9,-4,2,1,0,3,-2}
(ii)

{-9,7,-7,3,-4,-2,10,1,-5,2,-1,0,-6,-3}
(iii)

{}
(iv)

{-5,7,-9,1,8,-6,2,-2,-4,-3,-1,0,3,10}

Question 15

15.

Find n((A ∪ B) − (A ∩ B))

(i)

5
(ii)

9
(iii)

7
(iv)

8
(v)

6

Question 16

16.

Find n((A ∪ B)')

(i)

2
(ii)

4
(iii)

5
(iv)

7
(v)

3

Question 17

17.

In a class of 28 students, if 20 students study 'Sanskrit', 15 students study 'German' and 11 students study both the subjects, how many study 'German' only ?

(i)

1
(ii)

4
(iii)

7
(iv)

3
(v)

5

Question 18

18.

In a class of 14 students, each one reads either 'Deccan Chronicle' or 'The Hindu' or both. If 6 students read 'Deccan Chronicle' and 9 students read 'The Hindu', how many read both the news papers?

(i)

2
(ii)

1
(iii)

0
(iv)

4
(v)

(-1)

Question 19

19.

Find (B − A)'

(i)

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

{5,-5,8,4,-4}
(iii)

{-5,-4,9,4,5,8}
(iv)

{}
(v)

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

Question 20

20.

Find n(A ∩ ∅)

(i)

1
(ii)

0
(iii)

3
(iv)

(-3)
(v)

(-1)

Question 21

21.

Which of the following diagrams represent equivalent sets?

(i)

figure 2
(ii)

figure 1
(iii)

figure 4
(iv)

None of the above
(v)

figure 3

Question 22

22.

Find n(A ∪ μ)

(i)

9
(ii)

12
(iii)

11
(iv)

10
(v)

13

Question 23

23.

Find n(B' ∩ A')

(i)

2
(ii)

1
(iii)

4
(iv)

6
(v)

3

Question 24

24.

In a class of 32 students, if 15 students like 'Helping parents', 30 students like 'Listening music' and 14 students like both the activities, how many do not like any of the activities ?

(i)

4
(ii)

0
(iii)

2
(iv)

1
(v)

(-1)

Question 25

25.

In a class of 32 students, if 25 students read 'Times of India', 30 students read 'The Hindu' and 24 students read both the news papers, how many read 'The Hindu' only ?

(i)

7
(ii)

5
(iii)

8
(iv)

4
(v)

6

Assignment Key