EduSahara™ Worksheet

Question 1

1.

Find B

(i)

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

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

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

{4,0,-7,6,5,-1,-4,-8}
(v)

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

Question 2

2.

In a class of 35 students, if 16 students study 'Biology', 8 students study 'French' and 4 students study both the subjects, how many study 'French' only ?

(i)

2
(ii)

4
(iii)

6
(iv)

5
(v)

3

Question 3

3.

Find n((A ∪ B) − (A ∩ B))

(i)

4
(ii)

7
(iii)

5
(iv)

2
(v)

6

Question 4

4.

Find B − (C ∪ A)

(i)

{12,-2,14}
(ii)

{12,-2}
(iii)

{-2}
(iv)

{-2,-8}
(v)

{-2,14}

Question 5

5.

Find n((B ∪ C) ∩ (B ∪ A))

(i)

8
(ii)

10
(iii)

13
(iv)

12
(v)

11

Question 6

6.

Find A − (A ∩ (B ∩ C))

(i)

{12,11,-7,9,-1,0,6,7,3}
(ii)

{12,11,-7,9,0,2,6,7,3,17}
(iii)

{12,11,9,-1,0,2,6,7,3,13}
(iv)

{12,11,-7,9,-1,0,2,6,7,3}
(v)

{12,11,-7,9,-1,0,2,6,7,3,17}

Question 7

7.

Find C − (A ∪ B)

(i)

{3,7,12,2}
(ii)

{3,12,2}
(iii)

{7,12}
(iv)

{3,7,12}
(v)

{3,7,6}

Question 8

8.

Find B − A

(i)

{}
(ii)

{2,1}
(iii)

{1,-7}
(iv)

{0,1,2}
(v)

{1}

Question 9

9.

In a class of 30 students, each one prefers either 'RTC Bus' or 'Bicycle' or both. If 13 students prefer 'RTC Bus' and 30 students prefer 'Bicycle', how many prefer 'Bicycle' only?

(i)

20
(ii)

17
(iii)

15
(iv)

18
(v)

16

Question 10

10.

Find C ∩ A

(i)

{-7,-6,9}
(ii)

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

{-3,-6}
(iv)

{-7,-3,-6,9}
(v)

{-7,-3,-6}

Question 11

11.

Find n(A − B)

(i)

5
(ii)

0
(iii)

3
(iv)

2
(v)

4

Question 12

12.

Find (B − C) ∪ (B − A)

(i)

{7,13,17,-6,16,-8,12,3}
(ii)

{7,13,17,-6,16,-8,9,12,3}
(iii)

{7,13,17,-6,16,-8,9,12}
(iv)

{7,13,-6,16,-8,9,12}
(v)

{7,13,17,-6,16,-8,9,-7}

Question 13

13.

Find n((C ∩ A)')

(i)

19
(ii)

18
(iii)

21
(iv)

20
(v)

17

Question 14

14.

In a class of 34 students, if 8 students prefer 'Auto', 18 students prefer 'Moped' and 6 students prefer both the modes of transport, how many do not prefer any of the modes of transport ?

(i)

11
(ii)

15
(iii)

17
(iv)

14
(v)

13

Question 15

15.

Find (A ∪ B)'

(i)

{14,-5,15,1,13,-7}
(ii)

{14,-5,15,-2,1,13,-7}
(iii)

{14,-5,15,-2,1,-7,-6}
(iv)

{14,-5,15,-2,1,13,-7,0}
(v)

{14,15,-2,1,13,-7,0}

Question 16

16.

In a class of 27 students, if 20 students like 'chess', 23 students like 'tennis' and 17 students like both the games, how many like 'tennis' only ?

(i)

5
(ii)

7
(iii)

6
(iv)

4
(v)

8

Question 17

17.

Find n(A')

(i)

6
(ii)

7
(iii)

3
(iv)

5
(v)

4

Question 18

18.

Find n(A')

(i)

12
(ii)

13
(iii)

11
(iv)

16
(v)

14

Question 19

19.

In a class of 28 students, 14 students in 'French', 5 students in 'Urdu', 10 students in 'Science', 2 students in 'French' and 'Urdu', 3 students in 'Urdu' and 'Science', 5 students in 'Science' and 'French', 1 students in all the three subjects could get first class marks. How many of them got first class marks in only 'Urdu'?

(i)

4
(ii)

(-1)
(iii)

2
(iv)

0
(v)

1

Question 20

20.

Find (B ∪ C) ∩ (B ∪ A)

(i)

{7,12,-6,6,0,-1,-5,-8,-4,10}
(ii)

{7,12,-6,6,0,-5,8,-8,-4,-9}
(iii)

{7,12,-6,6,0,-1,-5,8,-8,-4,-9}
(iv)

{7,12,-6,6,0,-1,-5,8,-4}
(v)

{7,12,-6,6,0,-1,-5,8,-8,-4}

Question 21

21.

In a class of 35 students, 21 students read 'Hans India', 17 students read 'News Today', 21 students read 'The Hindu', 10 students read 'Hans India' and 'News Today', 11 students read 'News Today' and 'The Hindu', 13 students read 'The Hindu' and 'Hans India', 7 students read all the three news papers. How many of them read only 'Hans India'?