EduSahara™ Worksheet

Question 1

1.

Find n(B')

(i)

10
(ii)

8
(iii)

11
(iv)

9
(v)

12

Question 2

2.

Find n(A ∩ μ)

(i)

2
(ii)

4
(iii)

8
(iv)

6
(v)

5

Question 3

3.

In a class of 28 students, each one studies either 'Hindi' or 'Spanish' or both. If 11 students study 'Hindi' and 24 students study 'Spanish', how many study 'Hindi' only?

(i)

2
(ii)

4
(iii)

5
(iv)

6
(v)

3

Question 4

4.

Find n((B − A)')

(i)

14
(ii)

17
(iii)

13
(iv)

15
(v)

11

Question 5

5.

In a class of 32 students, if 21 students prefer 'School Van', 29 students prefer 'Auto' and 18 students prefer both the modes of transport, how many prefer 'Auto' only ?

(i)

12
(ii)

11
(iii)

9
(iv)

10
(v)

13

Question 6

6.

In a class of 32 students, if 12 students like 'Dancing', 17 students like 'Listening music' and 6 students like both the activities, how many like 'Listening music' only ?

(i)

12
(ii)

10
(iii)

11
(iv)

9
(v)

14

Question 7

7.

A ∪ B
=

(i)

{-3,0,5,8,-1,13,-7,9,-8,3}
(ii)

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

{8,-8,5,-7,-1,3,-3,9,-4}
(iv)

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

{12,5,-4,0,-1,-3,9,3,8,-7,-8}

Question 8

8.

In a class of 22 students, each one likes either 'Singing' or 'Listening music' or both. If 11 students like 'Singing' and 16 students like 'Listening music', how many like 'Listening music' only?

(i)

14
(ii)

12
(iii)

11
(iv)

10
(v)

8

Question 9

9.

Find n((A − B)')

(i)

12
(ii)

13
(iii)

11
(iv)

8
(v)

10

Question 10

10.

Find A ∩ B

(i)

{-7,8}
(ii)

{8,-5}
(iii)

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

{}
(v)

{8}

Question 11

11.

Find n(A ∪ μ)

(i)

13
(ii)

9
(iii)

10
(iv)

7
(v)

11

Question 12

12.

Find n(∅)

(i)

(-1)
(ii)

1
(iii)

(-2)
(iv)

0
(v)

3

Question 13

13.

Find A

(i)

{-5,-9,3,-1,9}
(ii)

{-5,-3,9,1,-1}
(iii)

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

{2,-1,1,-5,3,-9,9}
(v)

{-3,3,-5,1,9}

Question 14

14.

In a class of 18 students, each one likes either 'hockey' or 'carroms' or both. If 5 students like 'hockey' and 17 students like 'carroms', how many like 'hockey' only?

(i)

4
(ii)

1
(iii)

0
(iv)

(-2)
(v)

2

Question 15

15.

Find (A − B) ∪ (B − A)

(i)

{7,5,-3}
(ii)

{5,7,-7}
(iii)

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

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

{-7,5,7,-3}

Question 16

16.

A − B
=

(i)

{7,-4}
(ii)

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

{7,-4,9}
(iv)

{9,13,-4,7}
(v)

{4,-3,0}

Question 17

17.

Find A ∪ ∅

(i)

{0,2,3,11}
(ii)

{-7,6,5}
(iii)

{11,0}
(iv)

{11,5}
(v)

{6,5}

Question 18

18.

In a class of 21 students, each one reads either 'Times of India' or 'Hindustan Times' or both. If 19 students read 'Times of India' and 10 students read 'Hindustan Times', how many read 'Times of India' only?

(i)

8
(ii)

10
(iii)

14
(iv)

12
(v)

11

Question 19

19.

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

(i)

figure 2
(ii)

figure 1
(iii)

None of the above
(iv)

figure 4
(v)

figure 3

Question 20

20.

Find A ∩ A'

(i)

{}
(ii)

{0}
(iii)

{5,-1}
(iv)

{5}
(v)

{5,4,2,-1}

Question 21

21.

Find ∅

(i)

{4}
(ii)

{}
(iii)

{1,6}
(iv)

{6}
(v)

{5,1,6,-1}

Question 22

22.

Find A − B

(i)

{4,-7}
(ii)

{}
(iii)

{-7,5}
(iv)

{-7}
(v)

{8,5,-7}

Question 23

23.

In a class of 34 students, if 11 students like 'football', 26 students like 'cricket' and 6 students like both the games, how many like 'football' only ?

(i)

5
(ii)

6
(iii)

4
(iv)

3
(v)

7

Question 24

24.

Find n((A')')

(i)

10
(ii)

7
(iii)

4
(iv)

8
(v)

6

Question 25

25.

In a class of 16 students, each one prefers either 'Moped' or 'Bicycle' or both. If 13 students prefer 'Moped' and 9 students prefer 'Bicycle', how many prefer 'Moped' only?

(i)

7
(ii)

4
(iii)

8
(iv)

9
(v)

6

Assignment Key