EduSahara™ Worksheet

Question 1

1.

If A = {7,-8,-9,-1,1,0,4} and μ = {7,-8,-9,-1,1,0,4,-6,-5,8,-3}, find A ∪ A

(i)

{1,4,10,0,-8,-9,-1}
(ii)

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

{4,-1,-8,7,1,-9}
(iv)

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

{7,-9,1,0,2,4,-10}

Question 2

2.

If A = {4,8,12,6,14,10,1} and B = {15,1,3,12,13,14,5} , then A ∩ B =

(i)

{12,1,3,14}
(ii)

{14,1,20,12}
(iii)

{1,12,14}
(iv)

{13,12,14,1,3}
(v)

{14,12,6,1}

Question 3

3.

Which of the following are null sets?

a)

{empty}

b)

∅

c)

{}

d)

{∅}

e)

{6,1,2}

(i)

{d,c,b}
(ii)

{a,b}
(iii)

{d,c}
(iv)

{e,a,b}
(v)

{b,c}

Question 4

4.

Which of the following are disjoint sets?

(i)
{19,9,6,5,20,4}

,

{12,6,7,13,16,4}
(ii)
{19,9,6,5,20,4}

,

{}
(iii)
{19,9,6,5,20,4}

,

{19,9,6,5,20,4}
(iv)
{}

,

{19,9,6,5,20,4}
(v)
{19,9,5,20}

,

{12,7,13,16}

Question 5

5.

Which of the following elements belong to the set {2,5,7,10,3}?

(i)

14
(ii)

(-1)
(iii)

15
(iv)

(-2)
(v)

5

Question 6

6.

If A = {3,2,0} and B = {0,2,6} , then A ∩ B =

(i)

{0,2,3}
(ii)

{6,2,0}
(iii)

{0,2}
(iv)

{3,2,6,0}
(v)

{0,2,14}

Question 7

7.

Which of the following symbols represent the set of Whole numbers ?

(i)

W
(ii)

N
(iii)

Q'
(iv)

R
(v)

Q

Question 8

8.

Which of the following is 'does not belongs to' symbol?

(i)

∉
(ii)

⊆
(iii)

∩
(iv)

↔
(v)

⊅

Question 9

9.

If A = {7,10,14,1,0} and B = {5,9,6,11,8} , then B ∪ A =

(i)

{9,14,8,0,6,1,7,5,10,11,18}
(ii)

{11,0,9,8,10,5,1,6,14}
(iii)

{14,8,5,0,10,9,18,1,11,7}
(iv)

{11,10,14,6,5,0,1,7,9}
(v)

{7,0,11,14,1,5,6,10,9,8}

Question 10

10.

If A = {7,10,1,3,4} and B = {6,4,7,5,8} , then B ∩ A =

(i)

{4,7,1}
(ii)

{4,7}
(iii)

{8,7,4}
(iv)

{7,4,12}
(v)

{7,3,8,4}

Question 11

11.

If A = {5,2,6,9} and B = {9,10,4,5} , then A ∪ B =

(i)

{2,6,9,4,12,10}
(ii)

{}
(iii)

{6,2,4,9,10}
(iv)

{2,10,5,4,9,6,14}
(v)

{5,9,4,10,2,6}

Question 12

12.

If A = {8,9,4} and B = {1,2,6} , then B ∩ A =

(i)

{13}
(ii)

{1}
(iii)

{}
(iv)

{9}
(v)

{2,9}

Question 13

13.

If μ = {-8,6,-3,-4,8,7,-6,-7,-2,4,5,9,2,-5,-1}, A = {-8,6,-3,-4,8} and B = {7,-6,-4,-7,-2,-3,4}, find n(A ∩ B)

(i)

1
(ii)

0
(iii)

5
(iv)

3
(v)

2

Question 14

14.

If A = {5,1,8,0} and B = {5,10,1,6} , then B ∪ A =

(i)

{10,6,0,8,1}
(ii)

{6,1,10,12,5,8}
(iii)

{10,5,0,6,8}
(iv)

{8,0,10,1,5,6}
(v)

{1,6,14,5,0,10,8}

Question 15

15.

If A = {4,-2,-8,-9,-3} and μ = {4,-2,-8,-9,-3,-7,8,9}, find A ∪ ∅

(i)

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

{-9,-2,-12,-3,4}
(iii)

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

{}
(v)

{-3,-8,-9,4}

Question 16

16.

If μ = {3,4,5,0,-6,7,8,-5,6,-2,-4,9,2,-8,-3}, A = {3,4,5,0,-6,7} and B = {-6,8,3,5,4}, find n(B)

(i)

3
(ii)

6
(iii)

5
(iv)

7
(v)

4

Question 17

17.

If A = {5,10,0,7,15} and B = {7,12,13,15,3} , then A ∪ B =

(i)

{}
(ii)

{15,13,10,0,12,5,3}
(iii)

{3,13,0,7,5,12,15,10}
(iv)

{0,12,15,10,13,7,19,5}
(v)

{3,13,0,5,15,7,17,12,10}

Question 18

18.

Which of the following elements does not belong to the set {y,h,w,l,a}

(i)

z
(ii)

a
(iii)

w
(iv)

y
(v)

l

Question 19

19.

Which of the following is a null set?

(i)

{-1,-5}
(ii)

{}
(iii)

{-8,-9,9}
(iv)

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

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

Question 20

20.

Which of the following sets have same cardinality?

a)

{-7,9,2,-9,7,3}

b)

{-6,-8,1,8,0}

c)

{4,8,-8,-6,-9,5}

d)

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

e)

{3,-8,5,1,7,-5,-1}

(i)

{b,a}
(ii)

{d,c}
(iii)

{d,c,a}
(iv)

{e,b,a}
(v)

{a,c}

Question 21

21.

Which of the following symbols represent the set of Integers ?

(i)

Z
(ii)

N
(iii)

Q'
(iv)

R
(v)

W

Question 22

22.

If μ = {-9,3,7,-3,-8,-5,-6,2,1,-4,4}, A = {-9,3,7,-3,-8} and B = {-5,-6,2}, find n(A ∪ B)

(i)

5
(ii)

7
(iii)

9
(iv)

8
(v)

10

Question 23

23.

Which of the following is 'union' symbol?

(i)

∪
(ii)

↔
(iii)

∉
(iv)

∈
(v)

⊄

Question 24

24.

Which of the following is 'null set' symbol?

(i)

∅
(ii)

⊅
(iii)

∪
(iv)

⊄
(v)

∉

Question 25

25.

Which of the following is an infinite set?

(i)

{1}
(ii)

{7,-8,1}
(iii)

{}
(iv)

{0,1,2,3,4,5,6,...}
(v)

{6,7}

Assignment Key