Free Printable OPERATION ON SET & NETWORKS IN GRAPH THEORY

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OPERATION ON SET & NETWORKS IN GRAPH THEORY

Total questions: 16

Worksheet time: 5mins

Name

Class

Date

Diagram shows a Venn diagram which shows the elements of the universal set ε, set P and set Q.

List all the elements of set Q' .

{b,f}

{d,g,h}

{b,d,f,g}

{a,b,e,f}

Venn diagram shows the number of members of three societies. Given that

X = {members of English Language society}

Y = {members of Malay Language society}

Z = {members of Mathematics society}

If the number of members of Mathematics society is 1/6 of the number of members of English Language society, calculate the number of members joining Malay Language society only.

108

118

There are 200 students in Form 4. A survey was carried out to find the choice of reference books, X, Y and Z bought by the students. The survey shows that 35% of the students bought reference book X, 15% bought reference book Y and 10 % bought reference book Z. From the total, 8% bought reference book X and Y, 5% bought reference books Y and Z, 3% bought reference books X and Z, while 2% bought all the three reference books. Find the number of students who bought reference book X only.

Venn diagram showing set P, set Q and Set R., such that the universal set ξ = P ∪ Q ∪ R.

Which of the following represents the shaded region ?

P ∩ (Q ∪ R)

P' ∩ (Q ∪ R)

P ∪ (Q ∩ R)

Given that the universal set,

ξ = {x : 1 ≤ x ≤ 10, x is an integer} ,

F = {x : x is a prime number} ,

G = {2, 5, 6, 7} dan

H = {x : x ialah gandaan 2}

{4, 8, 10}

{1, 4, 8, 9}

{2, 5, 7}

{2, 4, 6, 8}

Table 1 shows data obtained from a survey on 90 students on their interest in three games. Diagram above is aVenn diagram that represents part of information in Table 1.

Diagram above is a Venn diagram that shows the number of elements of sets, P, Q and R.

Given that ξ = P ∪ Q ∪ R and n(Q') = n(P ∩ R). Find the value of x.

Diagram above is a Venn diagram of sets ξ, R and S.

The set R' ∪ S' is equivalent to

(R ∪ S)'

R ∪ S

(R ∩ S)'

R' ∩ S'

Diagram above is a Venn diagram showing the universal set ξ, set M and set N. ξ = {Form 4 students}, M = {students who like swimming} and N = {students who like jogging}.

Given n(ξ) = 80, n(M) = 45, n(N) = 20 and n(M > N) = 12, find the value of x.