Mary purchased 3theater tickets with an average (arithmetic mean) price of $8. If Mary also purchases a fourth theaterticket with a price of $16, what is the average price of all 4 theater tickets?

Circular gears P andQ start rotating at the same time at constant speeds. Gear P makes 10 revolutions per minute, andgear Q makes 40 revolutions per minute. How many seconds after the gears start rotating will gear Q have madeexactly 6 more revolutions than gear P ?

Which of the following is an integer?

I. ~$\frac{12!}{6!}$~

II. ~$\frac{12!}{8!}$~

III. ~$\frac{12!}{7!5!}$~

The table above shows the distribution of scores on a geography quiz given to a class of 25 students. Which of the following isclosest to the average (arithmetic mean) quiz score for the class?

A certain city with apopulation of 132,000 is to be divided into 11 voting districts, and no district is to have a population that is more than 10 percent greater than the population of any other district. What is the minimum possible population that the least populated district could have?

If ~$x\neq 0$~, then ~$\frac{\sqrt{x^{2}}}{x}$~ =

While working aloneat their respective constant rates, computer X processes 240 files in 4 hoursand computer Y processes 240 files in 8 hours. If all files processed by these computers are the same size, how longwould it take the two computers, working at the same time and at their respectiveconstant rates, to process a total of 240 files?

A certain companyemploys 6 senior officers and 4 junior officers. If a committee is to be created that is madeup of 3 senior officers and 1 junior officer, how many different committees arepossible?

A committee of threepeople is to be chosen from four married couples. What is the number of different committeesthat can be chosen if two people who are married to each other cannot bothserve on the committee?