EduSahara™ Worksheet

Question 1

1.

In a class of 29 students, if 10 students like 'Dancing', 6 students like 'Playing' and 2 students like both the activities, how many like 'Dancing' only ?

(i)

8
(ii)

7
(iii)

9
(iv)

6
(v)

11

Question 2

2.

Find (A − B) ∪ (B − A)

(i)

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

{-3,-6,7,9,4}
(iii)

{9,-3,7,4,-6,0}
(iv)

{0,4,7,9,2,-6}
(v)

{4,-6,9,-3,0}

Question 3

3.

Find A ∩ A

(i)

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

{3,-1,-5,2,5,-9,-8}
(iii)

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

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

{-5,-3,-9,2,5,3,0,4}

Question 4

4.

Find n((A ∪ B)')

(i)

3
(ii)

5
(iii)

4
(iv)

7
(v)

6

Question 5

5.

Find n(A' ∩ B')

(i)

5
(ii)

10
(iii)

8
(iv)

7
(v)

6

Question 6

6.

Find A ∩ μ

(i)

{-8,1,2,4}
(ii)

{0,-8,1,2,12,5}
(iii)

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

{-8,-5,2,4,-1}
(v)

{2,-8,1,12}

Question 7

7.

Find n(B')

(i)

13
(ii)

9
(iii)

12
(iv)

11
(v)

10

Question 8

8.

In a class of 34 students, if 34 students like 'Painting', 19 students like 'Helping parents' and 19 students like both the activities, how many do not like any of the activities ?

(i)

(-2)
(ii)

3
(iii)

0
(iv)

(-1)
(v)

1

Question 9

9.

In a class of 28 students, each one reads either 'Hans India' or 'The Hindu' or both. If 28 students read 'Hans India' and 12 students read 'The Hindu', how many read both the news papers?

(i)

13
(ii)

11
(iii)

12
(iv)

15
(v)

9

Question 10

10.

Find n(A ∩ A')

(i)

3
(ii)

(-1)
(iii)

(-2)
(iv)

0
(v)

1

Question 11

11.

Find n(A ∩ A)

(i)

4
(ii)

8
(iii)

5
(iv)

3
(v)

6

Question 12

12.

Find n(A')

(i)

6
(ii)

2
(iii)

4
(iv)

0
(v)

3

Question 13

13.

Find A'

(i)

{}
(ii)

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

{6,-3,-4,-5,8,-6,7,5}

Question 14

14.

Find A ∪ A'

(i)

{1,-3,-10,-2,3,9,5,10}
(ii)

{1,-2,6,-5,-8,10}
(iii)

{9,-3,-10,10,1,-2}
(iv)

{5,1,6,-9,-5,-2,-8}
(v)

{1,-5,6,5,-2,-8}

Question 15

15.

In a class of 19 students, each one likes either 'long jump' or 'football' or both. If 9 students like 'long jump' and 14 students like 'football', how many like both the games?

(i)

3
(ii)

4
(iii)

7
(iv)

5
(v)

1

Question 16

16.

Find n(A ∪ A')

(i)

2
(ii)

7
(iii)

6
(iv)

4
(v)

5

Question 17

17.

Find B − A

(i)

{}
(ii)

{3,7,6,-4}
(iii)

{3,5,6,-4}
(iv)

{6,-4,3}
(v)

{-4,5,7,3,6}

Question 18

18.

Find A' ∪ B'

(i)

{-1,3,-4,-5,1,-2,7,-9,9,-7}
(ii)

{-9,7,-4,-1,-5,8,9,-2,-7,3,1}
(iii)

{-2,1,3,-1,-5,8,7,-7,-9,9}
(iv)

{1,-4,8,7,-5,-7,-1,-2,3,9}
(v)

{}

Question 19

19.

In a class of 29 students, each one prefers either 'School Bus' or 'Moped' or both. If 11 students prefer 'School Bus' and 27 students prefer 'Moped', how many prefer both the modes of transport?

(i)

10
(ii)

8
(iii)

11
(iv)

9
(v)

6

Question 20

20.

In a class of 31 students, if 13 students prefer 'By Foot', 18 students prefer 'Bicycle' and 7 students prefer both the modes of transport, how many prefer 'Bicycle' only ?

(i)

14
(ii)

11
(iii)

12
(iv)

8
(v)

10

Question 21

21.

Find n(B − A)

(i)

7
(ii)

5
(iii)

4
(iv)

3
(v)

2

Question 22

22.

In a class of 29 students, each one studies either 'English' or 'Biology' or both. If 14 students study 'English' and 24 students study 'Biology', how many study 'Biology' only?

(i)

13
(ii)

14
(iii)

15
(iv)

18
(v)

16

Question 23

23.

In a class of 26 students, if 17 students prefer 'Moped', 22 students prefer 'School Van' and 15 students prefer both the modes of transport, how many prefer 'Moped' only ?

(i)

3
(ii)

5
(iii)

1
(iv)

2
(v)

0

Question 24

24.

Find (B − A)'

(i)

{-4,-6,3,0,-9,1,-3,8,2,9,-8}
(ii)

{0,3,-9,2,1,9,-3,-6,-8,8}
(iii)

{-9,-4,-6,9,0,-3,-8,1,3,8}
(iv)

{}
(v)

{8,-6,-8,-4,3,-9,2,-3,9,0}

Question 25

25.

Find (A − B)'

(i)

{-9,1,-7,2,-8,-5,-1,5,0,4}
(ii)

{-3,-8,0,-9,2,4,-5,1,-7,-1}
(iii)

{}
(iv)

{-1,5,-9,1,2,-7,-3,4,-5,-8,0}

Assignment Key