In a certain class of students, the number of students who drink only tea, only coffee, both tea and coffee, and neither tea nor coffee are $x, 2x, \frac{57}{x}, \& \frac{57}{3x}$ respectively. The number of people who drink coffee can be _____.

Seventy percent of the employees in a multinational corporation have VCD players, $75\%$ have microwave ovens, $80\%$ have AC's and $85\%$ have washing machines. At least what percentage of the employees has all four gadgets?

At the Rosary Public School, there are $870$ students in the senior secondary classes. The school provides practical training in four sciences- Physics, Chemistry, Biology or Social sciences. Some students do not have an interest in sciences so, they don't attend practicals. Mr. Arvindaksham noticed for every student in the school who opts for practical training in at least M sciences, there are exactly three students who opt for practical training in at least (M-1) sciences, for M = 2,3, and 4. He also found that the number of students who opt for all the four science subjects was half the number of students who opt for none. Can you help him with the answer "How many students opt for exactly three sciences?"

A bakery sells three kinds of pastries- pineapple, chocolate, and black forest. On a particular day, the bakery owner sold the following number of pastries: $90$ Pineapples, $120$Chocolate, and $150$ Black forests. If none of the customers bought more than two pastries of each type, what is the minimum number of customers that must have visited the bakery that day?

Gauri Apartment housing society organised annual games, consisting of three games: snooker, badminton and tennis. In all, $510$ people were members in the apartments' society and they were invited to participate in the games. Each person participating in as many games as he/she feels like. While viewing the statistics of the performance, Mr Capoor realised the following facts. The number of people who participated in at least two games was $52\%$ more than those who participated in exactly one game.

The number of people participating in $11, 22$ or $33$ games respectively was at least equal to $11$.

Being a numerically inclined person, he further noticed an interesting thing: The number of people who did not participate in any of the three games was the minimum possible integral value with these conditions.

What was the maximum number of people who participated in exactly three games?

In a class of $42$ students, each play at least one of the three games-cricket, hockey or football.It is found that $14$ play cricket, $20$ play hockey and $24$ play football. Three play both cricket and football, two play both hockey and football and none play all the three games. Find the number of students who play cricket but not hockey.