An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 2~$1 \over 2$~ hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m.,and arrives at Airport C 1~$1 \over 6$~ hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?

In the figure above, point O is the center of the circle and OC = AC = AB. What is the value of x ?

A couple decides to have 4 children. If they succeed in having 4 children and each child is equally likely to be a boy or a girl, what is the probability that they will have exactly 2 girls and 2 boys?

A set of numbers has the property that for any number t in the set, t + 2 is in the set. If -1 is in the set, which of the following must also be in the set?

I.-3

II.1

III.5

A certain right triangle has sides of length x, y, and z, where x < y < z. If the area of this triangular region is 1, which of the following indicates all of the possible values of y ?

If 4 < ~$7-x \over 3$~ , which of the following must be true?

I. 5 < x

II. |x + 3| > 2

III. −(x + 5) is positive.

Becky rented a power tool from a rental shop. The rent for the tool was $12 for the first hour and $3 for each additional hour. If Becky paid a total of $27, excluding Sales tax, to rent the tool, for how many hours did she rent it?

A certain company that sells only cars and trucks reported that revenues from car sales in 1997 were down 11 percent from 1996 and revenues from truck sales in

1997 were up 7 percent from 1996. If total revenues from car sales and truck sales in 1997 were up 1 percent from 1996, what is the ratio of revenue from car sales in 1996 to revenue from truck sales in 1996 ?

If 10⁵⁰ - 74 is written as an integer in base 10 notation, what is the sum of the digits in that integer?

The function f is defined for each positive three-digit integer n by f(n) = 2^x 3^y 5^Z, where x, y, and z are the hundreds, tens, and units digits of n, respectively. If m and v are three-digit positive integers such that f(m) = 9f(v), then m -v =