EduSahara™ Worksheet

Question 1

1.

In a class of 34 students, if 7 students like 'Watching TV', 32 students like 'Painting' and 7 students like both the activities, how many do not like any of the activities ?

(i)

3
(ii)

1
(iii)

0
(iv)

2
(v)

4

Question 2

2.

Find A ∪ ∅

(i)

{3,0}
(ii)

{-1,3}
(iii)

{-1,4}
(iv)

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

{2,3,4,0}

Question 3

3.

In a class of 13 students, each one studies either 'Spanish' or 'Mathematics' or both. If 11 students study 'Spanish' and 5 students study 'Mathematics', how many study both the subjects?

(i)

5
(ii)

2
(iii)

0
(iv)

3
(v)

4

Question 4

4.

Find n(A)

(i)

7
(ii)

9
(iii)

5
(iv)

8
(v)

6

Question 5

5.

Find (A − B) ∪ (B − A)

(i)

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

{9,-8,6,-3,8,7}
(iii)

{7,9,6,8,-8,-3,-7}
(iv)

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

{-8,6,7,-7,8}

Question 6

6.

Find n(A' ∩ B')

(i)

6
(ii)

7
(iii)

3
(iv)

9
(v)

5

Question 7

7.

Find n((A ∪ B) − (A ∩ B))

(i)

8
(ii)

7
(iii)

10
(iv)

11
(v)

9

Question 8

8.

In a class of 23 students, each one likes either 'volleyball' or 'shotput' or both. If 22 students like 'volleyball' and 10 students like 'shotput', how many like 'shotput' only?

(i)

1
(ii)

0
(iii)

(-1)
(iv)

4
(v)

2

Question 9

9.

In a class of 35 students, if 35 students prefer 'Auto', 26 students prefer 'Moped' and 26 students prefer both the modes of transport, how many prefer 'Auto' only ?

(i)

9
(ii)

10
(iii)

8
(iv)

11
(v)

6

Question 10

10.

Find n((A − B) ∪ (B − A))

(i)

6
(ii)

8
(iii)

7
(iv)

4
(v)

9

Question 11

11.

In a class of 21 students, each one likes either 'wrestling' or 'table tennis' or both. If 21 students like 'wrestling' and 15 students like 'table tennis', how many like both the games?

(i)

14
(ii)

15
(iii)

13
(iv)

17
(v)

16

Question 12

12.

Find n((A ∩ B)')

(i)

11
(ii)

9
(iii)

10
(iv)

13
(v)

8

Question 13

13.

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

(i)

figure 2
(ii)

figure 3
(iii)

figure 1
(iv)

None of the above
(v)

figure 4

Question 14

14.

In a class of 23 students, each one studies either 'Physics' or 'French' or both. If 7 students study 'Physics' and 22 students study 'French', how many study 'Physics' only?

(i)

(-2)
(ii)

1
(iii)

4
(iv)

2
(v)

0

Question 15

15.

Find A'

(i)

{}
(ii)

{-9,9,4,-1,-8,-2,-6,-3}
(iii)

{9,-8,-2,-9,-3,8,-1,4,-6}

Question 16

16.

Find n(A' ∪ B')

(i)

12
(ii)

11
(iii)

13
(iv)

9
(v)

14

Question 17

17.

In a class of 28 students, if 14 students prefer 'School Bus', 16 students prefer 'Car' and 7 students prefer both the modes of transport, how many prefer 'Car' only ?