EduSahara™ Worksheet

Question 1

1.

Find n(A ∩ ∅)

(i)

(-2)
(ii)

0
(iii)

1
(iv)

(-1)
(v)

3

Question 2

2.

Find B ∩ (C ∪ A)

(i)

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

{-3,2,10,0,4,5}
(iii)

{-3,2,10,4}
(iv)

{-3,2,0,4,-8}
(v)

{-3,2,10,0,4}

Question 3

3.

Find n(A ∩ A)

(i)

3
(ii)

4
(iii)

5
(iv)

7
(v)

2

Question 4

4.

Find (A ∩ B)'

(i)

{-9,0,2,-5,-8,8,-6,4}
(ii)

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

{8,-6,2,-9,0,-8,-5,4,1}
(iv)

{}
(v)

{-8,-5,2,-9,8,1,0,-6}

Question 5

5.

Find n((C ∩ A) ∪ (C ∩ B))

(i)

9
(ii)

6
(iii)

7
(iv)

4
(v)

5

Question 6

6.

In a class of 31 students, 25 students in 'Science', 12 students in 'Physics', 25 students in 'Social Studies', 10 students in 'Science' and 'Physics', 10 students in 'Physics' and 'Social Studies', 19 students in 'Social Studies' and 'Science', 8 students in all the three subjects could get first class marks. How many of them got first class marks in only 'Science'?

(i)

5
(ii)

4
(iii)

3
(iv)

1
(v)

6

Question 7

7.

Find A ∪ B

(i)

{7,5,-6,11,-8,6,8,1,-4,0,13,12,14}
(ii)

{5,-6,11,-8,6,8,1,-4,0,13,12}
(iii)

{7,5,-6,11,-8,6,8,1,-4,0,13,12}
(iv)

{7,5,-6,11,-8,8,1,-4,0,13,12,14}
(v)

{7,-6,11,-8,6,8,1,-4,0,13,12,4}

Question 8

8.

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

(i)

figure 1
(ii)

figure 3
(iii)

figure 4
(iv)

figure 2

Question 9

9.

Find A

(i)

{-5,6,-9,3,-1,7}
(ii)

{6,7,-1,3,-9,9}
(iii)

{-9,-1,7,9,3,5,6,-5}
(iv)

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

{7,3,9,-1,-9,-5,6}

Question 10

10.

Find (C − A) ∩ (C − B)

(i)

{-3,-8}
(ii)

{-3}
(iii)

{-3,11}
(iv)

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

{-3,8}

Question 11

11.

Find n(A ∪ ∅)

(i)

5
(ii)

4
(iii)

3
(iv)

6
(v)

1

Question 12

12.

In a class of 35 students, 25 students prefer 'By Foot', 6 students prefer 'Scooter', 12 students prefer 'School Bus', 4 students prefer 'By Foot' and 'Scooter', 5 students prefer 'Scooter' and 'School Bus', 8 students prefer 'School Bus' and 'By Foot', 3 students prefer all the three modes of transport. How many of them prefer more than one mode of transport?

(i)

14
(ii)

10
(iii)

9
(iv)

12
(v)

11

Question 13

13.

Find A ∩ B ∩ C

(i)

{}
(ii)

{-8}
(iii)

{-7}
(iv)

{-7,-2}
(v)

{-2}

Question 14

14.

Find (C − A) ∪ (C − B)

(i)

{3,10,12}
(ii)

{3,0,12,-1}
(iii)

{3,0,10,12,-1}
(iv)

{3,0,12,9}
(v)

{3,0,10,12}

Question 15

15.

Find A' ∪ B'

(i)

{3,-8,-2,-9,1,-6,5,-5,2,-1,-7}
(ii)

{-5,-2,2,5,-6,-9,1,-8,-1,9,-7}
(iii)

{}
(iv)

{-7,-8,-2,9,5,1,-9,-1,-5,2,3,-6}

Question 16

16.

Find B

(i)

{14,-2,-4,-6,13,3,2,5,15}
(ii)

{14,-2,-4,-6,13,3,2,10,5}
(iii)

{-2,-4,-6,13,3,2,10,5}
(iv)

{14,-2,-4,-6,13,3,2,10,5,15}
(v)

{14,-2,-4,-6,13,3,2,10,-3}

Question 17

17.

In a class of 18 students, each one likes either 'shotput' or 'wrestling' or both. If 13 students like 'shotput' and 12 students like 'wrestling', how many like 'shotput' only?

(i)

6
(ii)

5
(iii)

3
(iv)

7
(v)

8

Question 18

18.

Find n((A − B) ∪ (A − C))

(i)

13
(ii)

7
(iii)

11
(iv)

10
(v)

9

Question 19

19.

Find n(B ∪ C)

(i)

10
(ii)

14
(iii)

11
(iv)

8
(v)

12

Question 20

20.

Find n(( (A − B) ∪ (B − A) )')

(i)

5
(ii)

7
(iii)

1
(iv)

4
(v)

3

Question 21

21.

Find n((B ∩ C) ∪ (B ∩ A))

(i)

7
(ii)

3
(iii)

6
(iv)

4
(v)

5

Question 22

22.

Find A'

(i)

{9,1,-2,-4,-9,4,-5,12,6,10,0,2,14,5,-1,11,-8}
(ii)

{9,1,-2,-4,-9,-5,12,6,10,0,2,14,5,-1,11,-7}
(iii)

{9,1,-2,-4,-9,4,-5,12,6,10,0,2,14,5,-1,11}
(iv)

{9,1,-2,-4,-9,4,-5,12,6,10,0,2,14,-1,11}
(v)

{9,1,-2,-4,-9,4,-5,12,6,10,2,14,5,-1,11,-8}

Question 23

23.

Find A − (B ∪ C)

(i)

{10,4,12}
(ii)

{10,4,12,1}
(iii)

{4,12,1}
(iv)

{10,4,-3}
(v)

{10,4}

Question 24

24.

In a class of 33 students, each one likes either 'Community work' or 'Listening music' or both. If 14 students like 'Community work' and 32 students like 'Listening music', how many like 'Community work' only?

(i)

3
(ii)

1
(iii)

2
(iv)

(-1)
(v)

0

Question 25

25.

Find n(B − (C ∪ A))

(i)

5
(ii)

6
(iii)

3
(iv)

9
(v)

7

Assignment Key