EduSahara™ Worksheet

Question 1

1.

Find (A ∩ B)'

(i)

{8,-2,-7,0,2,5,-4,4,9}
(ii)

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

{}
(iv)

{-4,2,9,0,4,-7,5,-2}
(v)

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

Question 2

2.

In a class of 27 students, each one likes either 'cricket' or 'table tennis' or both. If 24 students like 'cricket' and 6 students like 'table tennis', how many like 'table tennis' only?

(i)

6
(ii)

3
(iii)

4
(iv)

0
(v)

2

Question 3

3.

In a class of 27 students, if 12 students like 'Watching TV', 6 students like 'Singing' and 2 students like both the activities, how many do not like any of the activities ?

(i)

8
(ii)

13
(iii)

11
(iv)

12
(v)

10

Question 4

4.

Find (A − B)'

(i)

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

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

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

{}

Question 5

5.

In a class of 24 students, each one studies either 'Science' or 'Mathematics' or both. If 19 students study 'Science' and 12 students study 'Mathematics', how many study both the subjects?

(i)

6
(ii)

9
(iii)

7
(iv)

5
(v)

8

Question 6

6.

Find B'

(i)

{6,-8,7,-6,2,5}
(ii)

{7,-7,2,-8,-6,5,6}
(iii)

{}

Question 7

7.

Find n(A')

(i)

4
(ii)

1
(iii)

2
(iv)

3
(v)

5

Question 8

8.

Find n(A ∩ A)

(i)

3
(ii)

2
(iii)

5
(iv)

0
(v)

4

Question 9

9.

Find n(∅)

(i)

0
(ii)

2
(iii)

1
(iv)

(-1)
(v)

(-2)

Question 10

10.

Find A ∪ A'

(i)

{6,-1,-2,4,5,-4,-9}
(ii)

{-9,5,9,-1,-4,-2,6}
(iii)

{5,2,-2,-9,4,9,-4}
(iv)

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

{4,-9,5,3,6,-2,-4,-1}

Question 11

11.

Find n((A − B) ∪ (B − A))

(i)

4
(ii)

3
(iii)

2
(iv)

6
(v)

5

Question 12

12.

Find A ∩ ∅

(i)

{}
(ii)

{4}
(iii)

{4,-1}
(iv)

{3}
(v)

{2,0,-1,4}

Question 13

13.

Find A ∪ ∅

(i)

{}
(ii)

{1,-2,-3,-5,-8}
(iii)

{-7,-4,2,-2,-3}
(iv)

{-8,-5,-3,1,-2,6}
(v)

{-3,-7,-2,1,0,2,-4}

Question 14

14.

In a class of 22 students, each one prefers either 'Bicycle' or 'RTC Bus' or both. If 6 students prefer 'Bicycle' and 19 students prefer 'RTC Bus', how many prefer 'Bicycle' only?

(i)

2
(ii)

3
(iii)

1
(iv)

4
(v)

6

Question 15

15.

Find B' ∩ A'

(i)

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

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

{}

Question 16

16.

In a class of 15 students, each one reads either 'Hindustan Times' or 'Hans India' or both. If 5 students read 'Hindustan Times' and 11 students read 'Hans India', how many read 'Hindustan Times' only?

(i)

5
(ii)

6
(iii)

4
(iv)

3
(v)

2

Question 17

17.

Find n(B' ∩ A')

(i)

1
(ii)

6
(iii)

3
(iv)

4
(v)

5

Question 18

18.

In a class of 22 students, each one likes either 'high jump' or 'hockey' or both. If 22 students like 'high jump' and 8 students like 'hockey', how many like both the games?

(i)

8
(ii)

9
(iii)

6
(iv)

7
(v)

10

Question 19

19.

Find ( (A − B) ∪ (B − A) )'

(i)

{}
(ii)

{6,1,4,5,-1,-5,7,2,-7,8}
(iii)

{1,-1,-7,7,-5,2,5,8,4}
(iv)

{7,-1,6,-7,4,-5,5,8,1}

Question 20

20.

Find n(A ∪ μ)

(i)

9
(ii)

7
(iii)

5
(iv)

6
(v)

8

Question 21

21.

Find n(A')

(i)

8
(ii)

9
(iii)

10
(iv)

11
(v)

13

Question 22

22.

Find n((A ∪ B) − (A ∩ B))

(i)

7
(ii)

5
(iii)

6
(iv)

2
(v)

4

Question 23

23.

In a class of 35 students, if 29 students prefer 'School Van', 12 students prefer 'Scooter' and 11 students prefer both the modes of transport, how many do not prefer any of the modes of transport ?

(i)

6
(ii)

4
(iii)

2
(iv)

7
(v)

5

Question 24

24.

Find n(A)

(i)

9
(ii)

8
(iii)

5
(iv)

6
(v)

7

Question 25

25.

In a class of 23 students, each one likes either 'Painting' or 'Reading books' or both. If 19 students like 'Painting' and 9 students like 'Reading books', how many like both the activities?

(i)

6
(ii)

3
(iii)

7
(iv)

4
(v)

5

Assignment Key