EduSahara™ Worksheet

Question 1

1.

Which of the following are disjoint sets?

(i)
{13,16,12,9,5}

,

{13,16,12,9,5}
(ii)
{13,16,12,9,5}

,

{}
(iii)
{13,16,9,5}

,

{3,20,6,4}
(iv)
{13,16,12,9,5}

,

{3,12,20,6,4,5}
(v)
{}

,

{13,16,12,9,5}

Question 2

2.

Which of the following is 'union' symbol?

(i)

⊆
(ii)

∉
(iii)

⊅
(iv)

∪
(v)

∈

Question 3

3.

For any two non-empty sets A and B, which of the following are true?

a)	A ∪ B = B ∪ A
b)	A ∪ B = ∅
c)	A ∪ B = B ∩ A
d)	A ∩ B = B ∩ A
e)	A ∩ B = B ∪ A

(i)

{b,a}
(ii)

{e,b,a}
(iii)

{c,d,a}
(iv)

{a,d}
(v)

{c,d}

Question 4

4.

Which of the following is 'belongs to' symbol?

(i)

∪
(ii)

∈
(iii)

⊃
(iv)

↔
(v)

⊂

Question 5

5.

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

(i)

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

{-9,3,1,-1,9,4}
(iii)

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

{3,4,0,5,8,-9,1,9,-1}
(v)

{8,-1,3,9,1,12,-13}

Question 6

6.

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

(i)

{}
(ii)

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

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

{1,9,-7}
(v)

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

Question 7

7.

Which of the following are null sets?

a)

∅

b)

{∅}

c)

{}

d)

{empty}

e)

{4,5,6}

(i)

{a,c}
(ii)

{b,a}
(iii)

{d,c,a}
(iv)

{d,c}
(v)

{e,b,a}

Question 8

8.

Which of the following is a singleton set?

(i)

{-1,-8,-2,-7}
(ii)

{-1,-6,-2}
(iii)

{6,-7}
(iv)

{2,3,-2,-7,4}
(v)

{5}

Question 9

9.

If A = {-8,9,-4,-5,4,7,5,-6}, then n(A) = ?

(i)

7
(ii)

9
(iii)

6
(iv)

11
(v)

8

Question 10

10.

If A = {2,6,1,14,4} and B = {8,4,3,14,0} , then B ∪ A =

(i)

{1,14,8,0,4,2,3,6}
(ii)

{14,4,6,0,8,1,3}
(iii)

{14,16,8,3,2,6,1,4}
(iv)

{6,1,3,0,2,8,14}
(v)

{0,14,4,6,3,1,8,2,19}

Question 11

11.

Which of the following is 'intersection' symbol?

(i)

⊄
(ii)

∩
(iii)

⊃
(iv)

⊂
(v)

⊆

Question 12

12.

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

(i)

4
(ii)

0
(iii)

2
(iv)

3
(v)

5

Question 13

13.

If A = {2,8,-7,9,-1,-6} and μ = {2,8,-7,9,-1,-6,1,-4,4,-9}, find A ∩ A

(i)

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

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

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

{0,-6,-1,-7,9,5,8,2}
(v)

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

Question 14

14.

If A = {14,15,10,13,11} and B = {0,15,5,14,13} , then A ∪ B =

(i)

{11,17,0,14,13,10,5,15}
(ii)

{15,13,5,0,11,10}
(iii)

{0,10,11,13,14,15,18}
(iv)

{13,10,11,14,15,0}
(v)

{0,10,11,5,13,14,15}

Question 15

15.

Which of the following is an infinite set?

(i)

{0,1,2,3,4,5,6,7,8,...}
(ii)

{}
(iii)

{-9}
(iv)

{-6,-7,5}
(v)

{4,3}

Question 16

16.

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

(i)

10
(ii)

8
(iii)

12
(iv)

9
(v)

7

Question 17

17.

Which of the following are true?

a)	A ∩ ∅ = A
b)	A ∪ A = ∅
c)	A ∪ A = A
d)	A ∪ ∅ = A
e)	A ∪ ∅ = ∅

(i)

{b,d,c}
(ii)

{b,d}
(iii)

{a,c}
(iv)

{e,a,c}
(v)

{c,d}

Question 18

18.

If A = {4,8,6} and B = {6,9,3} , then B ∩ A =

(i)

{13,6}
(ii)

{6}
(iii)

{6,3}
(iv)

{4,6}
(v)

{9,6,4}

Question 19

19.

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

(i)

↔
(ii)

⊆
(iii)

⊄
(iv)

⊇
(v)

∉

Question 20

20.

Which of the following sets have same cardinality?

a)

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

b)

{-7,0,1}

c)

{-1,2,6,-3}

d)

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

e)

{-8,5,-3,-9,8,0}

(i)

{b,d,c}
(ii)

{b,d}
(iii)

{a,c}
(iv)

{c,d}
(v)

{e,a,c}

Question 21

21.

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

(i)

{6,2}
(ii)

{9,6}
(iii)

{6}
(iv)

{2,6,1}
(v)

{15,6}

Question 22

22.

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

(i)

N
(ii)

Q'
(iii)

Q
(iv)

W
(v)

Z

Question 23

23.

If A = {2,4,7,10,8} and B = {1,6,9,7,4} , then A ∩ B =

(i)

{6,4,7}
(ii)

{4,7}
(iii)

{10,7,8,4}
(iv)

{11,7,4}
(v)

{10,7,4}

Question 24

24.

Which of the following is 'null set' symbol?

(i)

⊆
(ii)

∅
(iii)

⊅
(iv)

⊃
(v)

∉

Question 25

25.

If μ = {3,5,9,7,8,-2,-7,6,-6,-3,-1,-4,-8,-5,2,0,4}, A = {3,5,9,7,8,-2,-7} and B = {6,-6,9,-3,-1,-4}, find n(A ∩ B)

(i)

0
(ii)

(-2)
(iii)

2
(iv)

3
(v)

1

Assignment Key