EduSahara™ Worksheet

Question 1

1.

Find n(B)

(i)

3
(ii)

5
(iii)

7
(iv)

9
(v)

6

Question 2

2.

Find B ∪ (C ∩ A)

(i)

{14,3,-7,-2,16,-3,15,1,6,0,2}
(ii)

{14,3,-8,-7,-2,16,-3,15,1,6,0,2,12}
(iii)

{14,3,-8,-7,-2,16,-3,15,1,6,0,2}
(iv)

{14,3,-8,-7,16,-3,15,1,6,0,2,12}
(v)

{14,3,-8,-2,16,-3,15,1,6,0,2,-9}

Question 3

3.

Find n(A ∩ (B ∩ C))

(i)

(-1)
(ii)

4
(iii)

1
(iv)

2
(v)

3

Question 4

4.

Find n(A ∪ B)

(i)

10
(ii)

11
(iii)

6
(iv)

8
(v)

9

Question 5

5.

Find (A − (A ∩ (B ∩ C)))'

(i)

{6,12,14,4,-6,3,-7,-2,2,15}
(ii)

{6,12,14,4,-6,3,-7,2,15,-5}
(iii)

{6,12,14,-6,3,-7,-2,2,15,7}
(iv)

{6,12,14,4,-6,3,-2,2,15}
(v)

{6,12,14,4,-6,3,-7,-2,2,15,-5}

Question 6

6.

Find (A ∩ B) ∪ (A ∩ C)

(i)

{12,11,-5,14,8,6}
(ii)

{12,11,14,8,7}
(iii)

{12,11,-5,14,8}
(iv)

{12,11,-5,8,6}
(v)

{12,11,14,8}

Question 7

7.

Find n(∅)

(i)

3
(ii)

1
(iii)

(-3)
(iv)

0
(v)

(-1)

Question 8

8.

In a class of 34 students, 13 students like 'football', 9 students like 'cricket', 21 students like 'table tennis', 3 students like 'football' and 'cricket', 6 students like 'cricket' and 'table tennis', 5 students like 'table tennis' and 'football', 1 students like all the three games. How many of them like only 'table tennis'?

(i)

12
(ii)

14
(iii)

10
(iv)

11
(v)

8

Question 9

9.

Find A − (B ∪ C)

(i)

{17,9}
(ii)

{9,-2,-7}
(iii)

{17,9,-6}
(iv)

{17,9,-2}
(v)

{17,9,-2,-6}

Question 10

10.

Find n(A ∪ (B ∪ C))

(i)

17
(ii)

18
(iii)

19
(iv)

20
(v)

16

Question 11

11.

Find n(C − (A ∩ (B ∩ C)))

(i)

8
(ii)

9
(iii)

7
(iv)

6
(v)

10

Question 12

12.

Find A − (A ∩ (B ∩ C))

(i)

{-9,-5,-2,18,-4,-6,-7}
(ii)

{6,-9,-2,18,-4,-6,-7,10}
(iii)

{6,-9,-5,-2,18,-4,-6,-7,10}
(iv)

{6,-9,-5,-2,18,-4,-6,-7}
(v)

{6,-9,-5,-2,18,-6,-7,17}

Question 13

13.

Find n(A' ∪ B')

(i)

10
(ii)

8
(iii)

12
(iv)

9
(v)

11

Question 14

14.

In a class of 25 students, 7 students like 'Helping parents', 20 students like 'Painting', 8 students like 'Community work', 5 students like 'Helping parents' and 'Painting', 6 students like 'Painting' and 'Community work', 1 students like 'Community work' and 'Helping parents', none of the students like all the three activities. How many of them like only 'Helping parents'?

(i)

2
(ii)

3
(iii)

1
(iv)

(-1)
(v)

0

Question 15

15.

Find n(A ∪ A)

(i)

2
(ii)

3
(iii)

7
(iv)

5
(v)

4

Question 16

16.

Find n(A ∩ A)

(i)

6
(ii)

4
(iii)

7
(iv)

5
(v)

2

Question 17

17.

Find (A − B) ∪ (B − A)

(i)

{-6,7,2,0,-5,-9,-2,8}
(ii)

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

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

{-2,-5,8,-6,-9,0,7}
(v)

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

Question 18

18.

Find n(A ∩ B ∩ C)

(i)

1
(ii)

3
(iii)

4
(iv)

0
(v)

2

Question 19

19.

Find (A − B) ∪ (A − C)

(i)

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

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

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

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

{-1,5,4,-5}

Question 20

20.

Find n(C')

(i)

12
(ii)

10
(iii)

13
(iv)

16
(v)

14

Question 21

21.

Find n(A − (B ∪ C))

(i)

2
(ii)

0
(iii)

3
(iv)

5
(v)

1

Question 22

22.

Find (A − B)'

(i)

{5,2,7,3,1,0,-3,-1,-7,-8}
(ii)

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

{}

Question 23

23.

In a class of 35 students, each one studies either 'English' or 'Telugu' or both. If 16 students study 'English' and 34 students study 'Telugu', how many study 'English' only?

(i)

(-1)
(ii)

3
(iii)

0
(iv)

1
(v)

2

Question 24

24.

(B ∪ C) ∪ A
=

(i)

{-6,1,-5,11,-7,-1,-3,3,2,-2,0,6,5,-9}
(ii)

{-6,3,-1,0,5,-2,-3,2,-9,-5,-7,1}
(iii)

{-3,-1,3,-6,1,-9,0,5,-2,-7,2,6}
(iv)

{-1,3,0,2,-6,-2,-7,-5,-3,6,1,-9}
(v)

{-6,1,-1,-3,6,-9,-2,-5,3,2,0,-7,5}

Question 25

25.

Find n((A − B) ∩ (A − C))

(i)

0
(ii)

5
(iii)

2
(iv)

3
(v)

1

Assignment Key