EduSahara™ Worksheet

Question 1

1.

Find n(B)

(i)

6
(ii)

4
(iii)

5
(iv)

3
(v)

7

Question 2

2.

Find ∅

(i)

{2}
(ii)

{1}
(iii)

{}
(iv)

{2,1}
(v)

{2,1,3,-1}

Question 3

3.

In a class of 18 students, each one likes either 'hockey' or 'wrestling' or both. If 7 students like 'hockey' and 16 students like 'wrestling', how many like 'hockey' only?

(i)

3
(ii)

5
(iii)

0
(iv)

1
(v)

2

Question 4

4.

A − B
=

(i)

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

{2,4,7}
(iii)

{-5,-9,11,-2}
(iv)

{-9,-5}
(v)

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

Question 5

5.

Find μ

(i)

{-4,-1,5,9,3,0,4,2}
(ii)

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

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

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

{9,5,2,4,-4,-1}

Question 6

6.

Find n(A')

(i)

5
(ii)

4
(iii)

3
(iv)

6
(v)

2

Question 7

7.

A ∪ B
=

(i)

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

{9,11,-5,-3,4,0,-4,7,6}
(iii)

{-3,0,4,-4,6,7,9}
(iv)

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

{6,-3,11,-4,-5,9,0,4}

Question 8

8.

In a class of 20 students, each one studies either 'Physics' or 'Social Studies' or both. If 7 students study 'Physics' and 19 students study 'Social Studies', how many study 'Physics' only?

(i)

4
(ii)

0
(iii)

(-1)
(iv)

2
(v)

1

Question 9

9.

In a class of 14 students, each one prefers either 'Bicycle' or 'Auto' or both. If 5 students prefer 'Bicycle' and 11 students prefer 'Auto', how many prefer 'Auto' only?

(i)

7
(ii)

12
(iii)

8
(iv)

10
(v)

9

Question 10

10.

Find n(μ)

(i)

7
(ii)

6
(iii)

8
(iv)

9
(v)

5

Question 11

11.

Find n(A ∩ A')

(i)

3
(ii)

(-3)
(iii)

0
(iv)

(-1)
(v)

1

Question 12

12.

Find n(∅)

(i)

(-2)
(ii)

(-1)
(iii)

1
(iv)

2
(v)

0

Question 13

13.

In a class of 28 students, each one studies either 'Mathematics' or 'Urdu' or both. If 16 students study 'Mathematics' and 26 students study 'Urdu', how many study both the subjects?

(i)

17
(ii)

13
(iii)

15
(iv)

14
(v)

12

Question 14

14.

Find n((A ∩ B)')

(i)

9
(ii)

10
(iii)

8
(iv)

7
(v)

6

Question 15

15.

Which of the following diagrams represent equivalent sets?

(i)

figure 1
(ii)

figure 3
(iii)

figure 4
(iv)

figure 2

Question 16

16.

In a class of 27 students, if 6 students like 'Watching TV', 23 students like 'Dancing' and 6 students like both the activities, how many do not like any of the activities ?

(i)

2
(ii)

4
(iii)

6
(iv)

3
(v)

5

Question 17

17.

Find n((A')')

(i)

6
(ii)

7
(iii)

8
(iv)

3
(v)

5

Question 18

18.

Find n(A')

(i)

10
(ii)

7
(iii)

9
(iv)

11
(v)

8

Question 19

19.

In a class of 13 students, each one likes either 'Singing' or 'Helping parents' or both. If 10 students like 'Singing' and 5 students like 'Helping parents', how many like both the activities?

(i)

1
(ii)

2
(iii)

3
(iv)

(-1)
(v)

5

Question 20

20.

Find n(A ∩ B)

(i)

1
(ii)

7
(iii)

4
(iv)

5
(v)

3

Question 21

21.

Find A ∩ B

(i)

{0}
(ii)

{-4,7}
(iii)

{0,-4}
(iv)

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

{-4}

Question 22

22.

In a class of 11 students, each one reads either 'Times of India' or 'The Hindu' or both. If 5 students read 'Times of India' and 9 students read 'The Hindu', how many read both the news papers?

(i)

6
(ii)

4
(iii)

2
(iv)

3
(v)

1

Question 23

23.

Find (A ∪ B) − (A ∩ B)

(i)

{4,-5,-9,9,-6,8}
(ii)

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

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

{-6,9,-5,-9,4,-2,8}
(v)

{-9,-6,-5,8,4}

Question 24

24.

In a class of 25 students, if 21 students like 'badminton', 8 students like 'hockey' and 8 students like both the games, how many like 'badminton' only ?

(i)

12
(ii)

13
(iii)

14
(iv)

15
(v)

10

Question 25

25.

Which of the following diagrams represent 'A is subset of B'?

(i)

figure 3
(ii)

None of the above
(iii)

figure 1
(iv)

figure 4
(v)

figure 2

Assignment Key