Each file folder at a company is marked with a 1-, 3-, or 5-digit code where each digit is selected from the digits 0 through 9, inclusive. If the digits may be repeated and if the same digits used in a different order represent a different code, how many different file folders can be marked with a unique code?

In the figure above, the point  is the center of the circle and . What is the value of ?

The perimeter of an isosceles right triangle is . What is the length of the hypotenuse?

If , what is the value of ?

If , what is the value of ?

A list of measurements, in increasing order, is:

, , , , , and

If the median of the measurements is times the mean, what is the value of ?

Is between and on the number line?

(1) is to the left of on the number line.

(2) is negative.

Is between and on the number line?

(1) is to the right of on the number line.

(2) is to the left of on the number line.

Fruit Punch P contains 40% juice, Fruit Punch Q contains 30% juice, and Fruit Punch R contains 55% juice. If  gallons of Punch P,  gallons of Punch Q, and  gallons of Punch R are mixed to give  gallons of fruit punch that contain 45% juice, what is  in terms of  and ?

Trail mix R contains 10% nuts, trail mix S contains 20% nuts, and trail mix T contains 18% nuts. If grams of trail mix R, grams of trail mix S, and grams of trail mix T are combined to give grams of trail mix that contain 15% nuts, what is in terms of and ?

A college class consists of 24 computer science majors, 16 marketing majors, and 20 finance majors. If 2 different students are to be selected at random from this class, what is the probability that both students will be marketing majors?

Last week, Kasha drove her car a total of 225 miles. Each of these seven days she drove a whole number of miles and on no two days did she drive the same number of miles. If on Sunday Kasha drove the second greatest number of miles, did she drive more than 60 miles on Sunday?

(1) Kasha drove less than 70 miles on Sunday.

(2) Kasha drove 150 miles on Friday.

Which of the following is an integer?

  I.

 II.

III.

Regional Manager: Several of our stores have recently implemented a new method of taking daily inventory that uses less of our warehouse employees’ time by using more automated processes than the previous system. It is thus clear that the new, more automated system better optimizes these stores’ use of human resources than the older method did.

Which of the following, if true, most strengthens the argument above?

Keeping with the findings of most contemporary economic analysis of investment and savings programs available to the public, standard savings accounts have less financial benefit than do mutual fund investments managed by professionals and more of a quality they believe is detrimental to long-term savings growth.

Metamorphosis, a period within the lifecycles of certain species of animal, a process in which changes in the organism and its behavior coincide allowing the immature animal that has survived its environment to reach a stage of reproductive maturity.

August is typically the weakest month for purchases of heavy jackets, but purchases this August, even when compared with purchases in past Augusts, constituted an exceptionally low percentage of all garment purchases.

The 24-year-old novelist and poet released her latest novel all over the United States, Canada, and Great Britain last year, earning glowing reviews in both New York as well as Vancouver for her exceptional stylistic grace, and she is expecting to return to writing once she has completed her book tour.

The few things known about the Eleusinian mysteries come from ancient sources who either participated in the cult’s rites and secrets or merely pretended to be privy to such things.