Mark bought a set of6 flower pots of different sizes at a total cost of $8.25. Each pot cost $0.25 more than the next onebelow it in size. What was the cost, indollars, of the largest pot?

All of the stocks onthe over-the-counter market are designated by either a 4-letter or a 5-lettercode that is created by using the 26 letters of the alphabet. Which of the following gives the maximumnumber of different stocks that can be designated with these codes?

Six machines, eachworking at the same constant rate, together can complete a certain job in 12days. How many additional machines, eachworking at the same constant rate, will be needed to complete the job in 8days?

A certain stock exchange designates each stock with a one-, two-, or three-letter code, where each letter is selected from the 26 letters of the alphabet. If the letters may be repeated and if the same letters used in a different order constitute a different code, how many different stocks is it possible to uniquely designate with these codes?

Three grades of milk are 1 percent, 2 percent, and 3percent fat by volume. If x gallons ofthe 1 percent grade, y gallons of the 2 percent grade, and z gallons of the 3percent grade are mixed to give x + y + z gallons of a 1.5 percent grade, whatis x in terms of y and z ?

For every integer k from 1 to 10, inclusive, the kth term of a certain sequence is given by ~$\left ( -1 \right )^{k+1}\left ( \frac{1}{2^{k}} \right )$~. If T is the sum of the first 10 terms in the sequence, then T is

In a certain deck ofcards, each card has a positive integer written on it. In a multiplication game, a child draws acard and multiplies the integer on the card by the next larger integer. If each possible product is between 15 and200, then the least and greatest integers on the cards could be

What is the sum ofthe different positive prime factors of 550 ?

If ~$x^{4}+y^{4}=100$~, then the greatest possible value of x is between

At a certainuniversity, the ratio of the number of teaching assistants to the number ofstudents in any course must always be greater than 3:80. At this university, what is the maximumnumber of students possible in a course that has 5 teaching assistants?