In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all three magazines. Find : How many read magazine C only ?

In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all three magazines. Find : How many read none of three magazines ?

In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: the number of people who read exactly one newspaper.

In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper T, 26 read newspaper I, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find: the number of people who read at least one of the newspapers.

In a survey it was found that 21 people liked product A, 26 liked product B and 29 liked product C. If 14 people liked products Aand B, 12 people liked products C and A, 14 people liked products B and C and 8 liked all the three products. Find how many liked product C only.

In a town of 10,000 families, it was found that 40% families buy newspaper A, 20% by newspaper B and 10% buy newspaper C. Further 5% buy A and B, 3% buy B and C, 4% buy A and C. If 2% of the families buy all the three newspaper find: Number of families that buy none of the three newspapers.

In a group of 950 residents of a locality every resident is fond of reading at least one of the morning news-papers published in English and Hindi. 750 of them of like to read Hindi newspaper and 460 reads the English newspapers. Find how many of them read Hindi newspaper only?

In a town of 10,000 families it was found that 40 % families buy newspaper A, 20 % buy newspaper B and 10 % buy newspaper C .also 5 % families buy newspaper A and B 3 % buy newspaper B and C and 4 % buy newspaper A can C ,If 2 % families buy all the three newspaper , then number of families which buy newspaper A only is

A furniture firm manufactures chairs and tables, each requiring the use of three machines A, B and C. Production of one chair requires 2 hours on machine A, 1 hour on machine B and 1 hour on machine C. Each table requires 1 hour each on machine A and B and 3 hours on machine C. The profit obtained by selling on chair is ₹ 30 while by selling one table the profit is ₹ 60. The total time available per week on machine A is 70 hours, on machine B is 40 hours and on machine C is 90 hours. How many chairs and tables should be made per week so as to maximize profit ? Formulate the problem as L.P.P. and sovle it graphically.

An investigator interviewed 100 students to determine their preferences for the three drinks, milk (M), coffee (C ) and tea (T). He reported the following: 10 students has all three drinks M, C, T, 20 had M and C, 30 had C and T, 25 had M and T, 12 had M only, 5 had C only and 8 had T only. Using a Venn diagram, find how many did not take any of the three drinks?