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The integers s and t are divisible by 5. Which of the following is NOT necessarily true?


The figure shows some of the dimensions, in meters, of a building with eight sides. The perimeters of rectangular regions X, Y, and Z are 28, 34, and 22 meters, respectively. What is the perimeter of the building, in meters?
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If x=3 is a solution of the equation $$x^{2}+bx-18=0$$, where b is a constant, then the other solution is
For 2008 the annual earnings of the European division were approximately what percent of the combined annual earnings of the two divisions?
If the annual earnings of the European division for 2009 represented 7 percent of the division`s annual revenues, approximately how much were its annual revenues?
For the years shown, the range of the annual earnings of the United States division was approximately how much greater than the range of the annual earnings of the European division?
The average (arithmetic mean) of w, x, y, and z is equal to the average of x, y, and z. Which of the following expressions represents w in terms of x, y, and z ?
How many integers between 115 and 969 are cubes of integers?

_____
The width of rectangle T is 25 percent greater than the width of rectangle R, and the length of T is 10 percent greater than the length of R. The area of T is what percent greater than the area of R ?
If -1 < x < 1 and x≠0, which of the following statements must be true?
Indicate all such statements.
Each of the 120 people in a group donated one of three different amounts to charity. Of the people in the group, $$\frac{2}{3}$$ donated $10.00 each, $$\frac{1}{4}$$ donated $15.00 each, and the rest donated $25.00 each.

Quantity A

The average (arithmetic mean) amount donated per person in the group

Quantity B

$12.50


-|x| = |x|

Quantity A

x

Quantity B

0


Quantity A

The greatest possible value of$$\frac{2}{x-y}$$ , where 6≤x≤8 and 2≤y≤5

Quantity B

$$\frac{2}{3}$$


The function f is defined by $$f_{(x)}=x(x^{2}-4)$$ for all numbers x.

Quantity A

The number of points at which the graph of $$y=f_{(x)}$$ intersects the x-axis in the xy-plane

Quantity B

3


0 < r < v < x < y < z

Quantity A

The average (arithmetic mean) of the 4 numbers r, v, y, and z

Quantity B

The average (arithmetic mean) of the 5 numbers r, v, x, y, and z


The volume of a right circular cylinder is 2,000π, and its height is 16 times its radius.

Quantity A

The radius of the cylinder

Quantity B

5


$$C_{1},C_{2},C_{3},...C_{j}...$$

The sequence shown is defined by $$C_{1}=5$$ and $$C_{j+1}=\frac{1}{5}C_{j}$$ for each positive integer j.

Quantity A

$$C_{10}$$

Quantity B

$$5^{15}C_{25}$$


An investor placed a total of $6,400 in two accounts for one year. One of the accounts earned simple annual interest at a rate of 5 percent, and the other earned simple annual interest at a rate of 3 percent. The investor made no deposits or withdrawals from the accounts. If each account earned the same amount of interest after one year, what was the total amount of interest earned from both accounts?
A flat rectangular tile has a length that is between 4 inches and 6 inches and a width that is between 3 inches and 6 inches. Which of the following could be the value of the area, in square feet, of the top surface of the tile? (1 foot = 12 inches)

Indicate all such values.

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