EduSahara™ Worksheet

Question 1

1.

Find n(A' ∪ B')

(i)

16
(ii)

13
(iii)

14
(iv)

18
(v)

15

Question 2

2.

Find ∅

(i)

{0}
(ii)

{3}
(iii)

{}
(iv)

{3,2}
(v)

{0,2,-1,3}

Question 3

3.

Find n(A ∩ A)

(i)

5
(ii)

3
(iii)

6
(iv)

4
(v)

2

Question 4

4.

Find n((A − B)')

(i)

8
(ii)

6
(iii)

5
(iv)

7
(v)

3

Question 5

5.

In a class of 26 students, if 14 students read 'News Today', 18 students read 'Indian Express' and 10 students read both the news papers, how many read 'News Today' only ?

(i)

2
(ii)

5
(iii)

3
(iv)

6
(v)

4

Question 6

6.

Find (C ∪ A) ∩ (C ∪ B)

(i)

{10,-6,-3,2,15,0,8,-1,-8,20}
(ii)

{10,-6,-3,2,15,0,8,-1,-8}
(iii)

{10,-6,-3,2,15,0,-1,-8,20}
(iv)

{10,-6,-3,15,0,8,-1,-8,-9}
(v)

{-6,-3,2,15,0,8,-1,-8}

Question 7

7.

In a class of 32 students, if 17 students like 'Helping parents', 30 students like 'Painting' and 15 students like both the activities, how many like 'Painting' only ?

(i)

16
(ii)

17
(iii)

15
(iv)

12
(v)

14

Question 8

8.

In a class of 15 students, each one likes either 'Watching TV' or 'Singing' or both. If 11 students like 'Watching TV' and 7 students like 'Singing', how many like 'Watching TV' only?

(i)

9
(ii)

8
(iii)

6
(iv)

7
(v)

10

Question 9

9.

In a class of 29 students, 17 students like 'Singing', 23 students like 'Playing', 22 students like 'Community work', 13 students like 'Singing' and 'Playing', 17 students like 'Playing' and 'Community work', 14 students like 'Community work' and 'Singing', 10 students like all the three activities. How many of them like only 'Playing'?

(i)

1
(ii)

6
(iii)

4
(iv)

3
(v)

2

Question 10

10.

Find n((B − C) ∪ (B − A))

(i)

5
(ii)

6
(iii)

2
(iv)

7
(v)

4

Question 11

11.

Find (B ∪ C) ∩ (B ∪ A)

(i)

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

{10,8,-8,9,-5,-4,6,0,7,3}
(iii)

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

{10,8,-8,9,-5,-4,6,7,3,-6}
(v)

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

Question 12

12.

In a class of 27 students, 20 students read 'Indian Express', 6 students read 'News Today', 5 students read 'The Hindu', 3 students read 'Indian Express' and 'News Today', 1 students read 'News Today' and 'The Hindu', 3 students read 'The Hindu' and 'Indian Express', none of the students read all the three news papers. How many of them read only 'The Hindu'?

(i)

0
(ii)

3
(iii)

2
(iv)

(-2)
(v)

1

Question 13

13.

Find (B ∩ C)'

(i)

{14,9,-2,11,-6,3,6,8,18,-7,0,15,-9,13,-4,-8,-3,17,4,1,16,5}
(ii)

{14,9,-2,11,-6,3,-1,6,8,18,-7,0,15,-9,13,-4,-8,-3,17,4,1,16,5}
(iii)

{14,-2,11,-6,3,-1,6,8,18,-7,0,15,-9,13,-4,-8,-3,17,4,1,16}
(iv)

{14,9,-2,11,-6,3,-1,6,8,18,-7,0,15,-9,13,-4,-8,-3,17,4,1,16}
(v)

{14,9,-2,11,-6,3,-1,6,8,18,-7,0,15,-9,13,-8,-3,17,4,1,16,-5}

Question 14

14.

Find n(A ∩ ∅)

(i)

0
(ii)

3
(iii)

(-3)
(iv)

1
(v)

(-1)

Question 15

15.

Find (A ∪ B) ∩ (A ∪ C)

(i)

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

{9,-1,-4,-8,10,3,5,-5,-7,7}
(iii)

{-3,9,-1,-4,-8,10,3,5,-5,-7}
(iv)

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

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

Question 16

16.

Find n((A ∪ B) − (A ∩ B))

(i)

5
(ii)

6
(iii)

3
(iv)

8
(v)

4

Question 17

17.

Find A ∩ B

(i)

{-4}
(ii)

{-2}
(iii)

{}

Question 18

18.

Find n((A ∪ B) ∪ C)

(i)

15
(ii)

20
(iii)

17
(iv)

19
(v)

18

Question 19

19.

In a class of 29 students, 7 students like 'Playing', 12 students like 'Watching TV', 9 students like 'Reading books', 4 students like 'Playing' and 'Watching TV', 5 students like 'Watching TV' and 'Reading books', 1 students like 'Reading books' and 'Playing', 1 students like all the three activities. How many of them like none?

(i)

11
(ii)

10
(iii)

8
(iv)

9
(v)

12

Question 20

20.

In a class of 34 students, 16 students like 'Helping parents', 16 students like 'Community work', 12 students like 'Painting', 7 students like 'Helping parents' and 'Community work', 5 students like 'Community work' and 'Painting', 4 students like 'Painting' and 'Helping parents', 2 students like all the three activities. How many of them like exactly two activities?

(i)

13
(ii)

11
(iii)

7
(iv)

9
(v)

10

Question 21

21.

Find C ∩ (A ∪ B)

(i)

{10,4,9,1}
(ii)

{-4,10,4,-2}
(iii)

{10,4,9}
(iv)

{-4,10,4,9}
(v)

{-4,10,4,9,-2}

Question 22

22.

In a class of 29 students, each one studies either 'Urdu' or 'Telugu' or both. If 27 students study 'Urdu' and 10 students study 'Telugu', how many study both the subjects?

(i)

7
(ii)

9
(iii)

6
(iv)

10
(v)

8

Question 23

23.

A − B
=

(i)

{-7,8,-6,-2,3}
(ii)

{-8,5,-5,-4,2,0}
(iii)

{0,5,-8,2,12,-4}
(iv)

{2,5,-4,-8,0}
(v)

{-4,0,5,-8}

Question 24

24.

Find n(A − (A ∩ (B ∩ C)))

(i)

9
(ii)

7
(iii)

5
(iv)

11
(v)

8

Question 25

25.

Find A' ∪ B'

(i)

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

{2,8,-3,-7,7}
(iii)

{7,2,8,-7,6}
(iv)

{8,7,-7,6,-3,2}
(v)

{}

Assignment Key