EduSahara™ Worksheet

Question 1

1.

Find n(A ∪ μ)

(i)

7
(ii)

9
(iii)

4
(iv)

8
(v)

6

Question 2

2.

Find A

(i)

{9,-6,-1}
(ii)

{9,-6}
(iii)

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

{-6,-1}
(v)

{9,8,-6}

Question 3

3.

What is the cardinality of an empty set?

(i)

5
(ii)

4
(iii)

0
(iv)

1
(v)

2

Question 4

4.

Which of the following is 'subset or equal to' symbol?

(i)

⊅
(ii)

↔
(iii)

⊂
(iv)

⊆
(v)

⊇

Question 5

5.

Find n(A)

(i)

2
(ii)

1
(iii)

4
(iv)

5
(v)

3

Question 6

6.

A ∪ B
=

(i)

{-7,-2,-1,9,7,4,-8,6}
(ii)

{6,-1,-8,-2,7,4,-7,9,8}
(iii)

{7,-1,6,4,8,-7,-2,9}
(iv)

{4,-2,14,-7,8,9,-1,7,6,-8}
(v)

{-1,13,-8,4,6,-7,7,8,-2}

Question 7

7.

Which of the following sets are not equivalent to set {10,4,2,1}?

a)	{10,4,7,3}
b)	{7,9}
c)	{9,6,10,1}
d)	{10,5,9,1}
e)	{6,7,8}

(i)

{d,a,b}
(ii)

{a,b}
(iii)

{b,e}
(iv)

{c,e,b}
(v)

{c,e}

Question 8

8.

Find n(A ∪ B)

(i)

8
(ii)

10
(iii)

12
(iv)

11
(v)

9

Question 9

9.

Which of the following are true?

a)	A ∩ A' = A
b)	A ∩ A' = μ
c)	A ∪ A' = μ
d)	A ∪ A' = A
e)	A ∪ A' = ∅
f)	A ∩ A' = ∅

(i)

{a,f,c}
(ii)

{d,e,c}
(iii)

{b,f}
(iv)

{a,c}
(v)

{c,f}

Question 10

10.

Which of the following diagrams represent equivalent sets?

(i)

None of the above
(ii)

figure 3
(iii)

figure 2
(iv)

figure 4
(v)

figure 1

Question 11

11.

Which of the following elements belong to the set {5,2,9,6,4}?

(i)

16
(ii)

(-1)
(iii)

0
(iv)

15
(v)

9

Question 12

12.

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

(i)

{-3,4,-10,9,-8}
(ii)

{9,4,-8,-9}
(iii)

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

{9,-8,-3,4,-9}
(v)

{-8,0,4,-9,1,9,-3}

Question 13

13.

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

(i)

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

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

{7,-7,1,4,-4,-8,-9,2}
(iv)

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

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

Question 14

14.

Which of the following is not a subset of A = {4,3,7,8,5,2,9,1,0}?

(i)

{2,5,4,9,0,8,3}
(ii)

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

{9,4,7,6,1,5,3,8}
(iv)

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

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

Question 15

15.

If A ⊂ B, then which of the following are true?

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

(i)

{a}
(ii)

{c,a}
(iii)

{b,a}
(iv)

{d,e,a}

Question 16

16.

Which of the following is an infinite set?

(i)

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

{0}
(iii)

{9,7,1}
(iv)

{0,-1}
(v)

{}

Question 17

17.

Find A ∩ A

(i)

{8,2,9}
(ii)

{8,4,0,5}
(iii)

{}
(iv)

{8,2}
(v)

{8,0}

Question 18

18.

Which of the following is superset of A = {1,7,4,3}?

(i)

{7,1,4}
(ii)

{3,2,4,7}
(iii)

{3,6,4,1}
(iv)

{4,7}
(v)

{7,1,8,3,4}

Question 19

19.

Which of the following is 'subset' symbol?

(i)

∩
(ii)

⊂
(iii)

∉
(iv)

↔
(v)

⊇

Question 20

20.

Which of the following is not equal to set A = {0,6,7,1,2,3,10,9,4,5}?

(i)

{4,5,10,1,0,7,3,6,9,2}
(ii)

{4,2,3,10,1,6,7,5,0,9}
(iii)

{10,6,9,2,0,7,1,5,3,4}
(iv)

{7,10,4,9,3,1,0,5,2,6}
(v)

{5,9,10,6,4,8,7,3,1,2}

Question 21

21.

If A = {9,5,3,1,10} and B = {2,6,9,8,10} , then A ∩ B =

(i)

{10,2,8,9}
(ii)

{5,10,9}
(iii)

{10,9}
(iv)

{9,10,2}
(v)

{10,12,9}

Question 22

22.

A ∩ B
=

(i)

{-2,3,4}
(ii)

{-2,3}
(iii)

{6,-2,3,1}
(iv)

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

{11,-2,3}

Question 23

23.

Which of the following is a subset of A = {2,13,14,5,8,7}?

(i)

{9,4,15}
(ii)

{14,15,7,5,4}
(iii)

{4,14,5,7}
(iv)

{5,14,7}
(v)

{13,14,4,8,7,5}

Question 24

24.

Which of the following is a proper subset of A = {2,5,3}?

(i)

{5,1,2}
(ii)

{2,5,3}
(iii)

{3,2}
(iv)

{2,0}
(v)

{2,4}

Question 25

25.

Which of the following elements does not belong to the set {m,u,a,j,l}

(i)

m
(ii)

u
(iii)

e
(iv)

j
(v)

l

Assignment Key