In a youth club with 94 members, 60 like modern music and 50 like traditional music. The number of members who like both traditional and modern music is three times those who do not like any type of music. How many members like only one type of music?

In a  class of 40 students, 32 offers Mathematics, 24 offers physics and 4 offers neither Mathematics nor physics. How  many offer both Mathematics and Physics?

In a class of 40 students,each student offers at least one of physics and chemistry. If the number of students that offers physics is 3 times the number that offer both subject and the number that offer chemistry is twice the number that offer physics. Find the number of students that offers physics only

The Venn diagram above shows a class of 40 students with the games they play. How many of the students play two games only?

If $E\subseteq G\subseteq U,$where U is the universal set, then the shaded venn diagram representing U – E or E^c

Given P = {1, 3, 5, 7, 9, 11} and Q ={2, 4, 6, 8,10, 12}. Determine the relationship between P and Q

If $X=\{{{n}^{2}}+1:n=0,2,3\}$and $Y=\{n+1:n=2,3,5\}$ find $X\cap Y$

If $x=\{{{n}^{2}}+1:\text{ }n\text{ is a positive and }1\le n\le 5\}$

$y=\{5n:n\text{ is a positive integer and }1\le n\le 5\}$

find $x\cap y$

Which of the venn diagram below represent ${{P}^{1}}\cap Q\cap {{R}^{1}}$

From the venn diagram, above, the complement of the set is given by

In a class of 46 students, 22 play football and 26 play volleyball. If 3 students play both games, how many play neither?

$\begin{align}  & \text{If }P=\{x:x\text{ is odd, }-1<x\le 20\}\text{ and }Q=\{y:y\text{ is prime, }-2<y\le 25\},\text{ find }P\cap Q \\ & \text{(A)  }\!\!\{\!\!\text{ 3,5,7,11,17,19 }\!\!\}\!\!\text{ } \\ & \text{(B)  }\!\!\{\!\!\text{ 3,5,11,13,17,19 }\!\!\}\!\!\text{ } \\ & \text{(C)  }\!\!\{\!\!\text{ 3,5,7,11,13,17,19 }\!\!\}\!\!\text{ } \\ & \text{(D)  }\!\!\{\!\!\text{ 2,3,5,7,11,13,17,19 }\!\!\}\!\!\text{ } \\\end{align}$

From the Venn diagram above the shaded part represents

Given that

M = {x : x is prime and $7\le x\le 13$}and

R = {y: y is a multiple of 3 and $6<y\le 15$}, find $M\cup R$

The venn diagram show a class of 50 students with the games they play. How many students play only two games

If Q is a factor of 18 and T is a prime number between 2 and 18. What is $Q\cap T$

If U ={1, 2, 3,…..10} and N ={2, 4, 6, 8 10} find N¹

A bookseller sells Mathematics and English books. If 30 customers brought Mathematics books, 20 customers brought English books and 10 customers buy the two books, how many customers has he altogether?