Problem Solving

A company that ships boxes to a total of 12 distribution centers uses color coding to identify each center. If either a single color or a pair of two different colors is chosen to represent each center and if each center is uniquely represented by that choice of one or two colors, what is the minimum number of colors needed for the coding? (Assume that the order of the colors in a pair does not matter.)

One week a certain truck rental lot had a total of 20 trucks, all of which were on the lot Monday morning. If 50 percent of the trucks that were rented out during the week were returned to the lot on or before Saturday morning of that week, and if there were at least 12 trucks on the lot that Saturday morning, what is the greatest number of different trucks that could have been rented out during the week?

If a = 1 and (a - b)/c = 1 which of the following is NOT a possible value of b?

The table above show the daily change in the price of a certain stock last week. What was the net change in dollars in the price of the stock for the week?

1,234 1,243 1,324 ..... .... +4,321 The addition problem above shows four of the 24 different integers that can be formed by using each of the digits 1,2,3,4 exact;y once in each integer. What is the sum of these 24 integers?

According to the table above, the number of fellows was approximately what percent of the total membership of Organization X?

One hour after Yolanda started walking from X to Y, a distance of 45 miles, Bob started walking along the same road from Y to X. If Yolanda's walking rate was 3 miles per hour and Bobт's was 4 miles per hour, how many miles had Bob walked when they met?

Which of the following is equal to x 18 x 18 for all positive values of x ?

Bills' school is 10 miles from his home. He travels 4 miles from school to football practice, and then 2 miles to friend's house. If he is then x miles from home, what is the range of possible values for x?

Kim purchased n items from a catalog for $8each.Postageandhandlingchargesconsistedof$3 for the first item and $1 for each additional item. Which of the following gives the total dollar amount for Kim’s purchase, including postage and handling, in terms of n ?

Starting from town S, Fred rode his bicycle 8 miles due east, 3 miles due south, 2 miles due west and 11 miles due north, finally stopping at town T. if the entire region is flat. What is the straight line distance in miles between Town S and T?

If x + y x y = 1 , then y =

If $1 were invested at 8 percent interest compounded annually, the total value of the investment, in dollars, at the end of 6 years would be

Elena purchased Brand X pens for $4.00apieceandbrandYfor$2.80 apiece. If Elena purchased a total of 12 of these pens for $42.00, how many brand X pens did she purchase?

Coins are to be put into 7 pockets so that each pocket contains at least one coin. At most 3 of the pockets are to contain the same number of coins, and no two of the remaining pockets are to contain an equal number of coins. What is the least possible number of coins needed for the pockets?

If the cost of 12 eggs varies between $0.90and$1.20, and the cost of 5 sandwiches varies between $10and$15, then the cost of 4 eggs and 3 sandwiches varies between

In 1985, 45 percent of a document storage facility's 60 customers were banks, and in 1987, 25 percent of its 144 customers were banks. What was the percent increase from 1985 to 1987 in the number of bank customers the facility had?

How many multiples of 4 are there between 12 and 96, inclusive?

In the rectangular coordinate system above, the shaded region is bounded by straight lines. Which of the following is NOT an equation of one of the boundary line s?

Salesperson A's compensation for any week is $360plus6percentoftheportionof{A}^{\prime }stotalsalesabove$1,000 for that week. Salesperson B's compensation for any week is 8 percent of B's total sales for that week. For what amount of total weekly sales would both salespeople earn the same compensation?