Problem Solving

There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women?

A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?

√ 16 * 20 + 8 * 32 = 16 * 20 + 8 * 32 − − − − − − √ =

If n is a positive integer, then n(n+1)(n+2) is

If the quotient a/b positive, which of the following must be true?

The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals

The average (arithmetic mean) of 10, 30, and 50 is 5 more than the average of 20, 40, and

For which of the following values of n is (100+n)/n NOT an integer?

A project scheduled to be carried out over a single fiscal year has a budget of $12,600,dividedinto12equalmonthlyallocations.Attheendofthefourthmonthofthatfiscalyear,thetotalamountactuallyspentontheprojectwas$4,580. By how much was the project over its budget?

In the figure above, the point on segment PQ that is twice as far from P as from Q is

A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?

If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true? I. c - a = 2 II. abc is an even integer. III. (a + b + c)/3 is an integer.

If 2 1 + 2 y = 1 , then y =

As x increases from 165 to 166, which of the following must increase? I. 2x - 5 II. 1 - 1/x III. 1/(x^2 - x)

If (x - 1)^2 = 400, which of the following could be the value of x - 5?

If a square mirror has a 20-inch diagonal, what is the approximate perimeter of the mirror, in inches?

In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by