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题目内容
n is the least possible integer such that 108n is the square of an integer.

Quantity A

n

Quantity B

9
Each copy of a certain textbook in a college bookstore is classified as new or used. The bookstore sells each new copy for $90 and each used copy for another fixed price. For all the copies sold last week, the total revenue from the sales of new copies was equal to the total revenue from the sales of used copies, and the average (arithmetic mean) price per copy was $60. What is the price of each used copy?
The positive numbers a, b, c, d, e, and f are different from each other.

Quantity A

The range of the numbers a, b, c, d, e, and f

Quantity B

The range of the numbers $$a^{2}$$, $$b^{2}$$, $$c^{2}$$, $$d^{2}$$, $$e^{2}$$ and $$f^{2}$$
x and y are different positive integers

$$x^{2}y$$=180

Quantity A

x

Quantity B

y
In the xy-plane, lines l and m, with equations y+x+r=0 and y-x+s=0, respectively, intersect at the point (1, 2).

Quantity A

r+s

Quantity B

0
$$\frac{x}{x-2}$$=$$\frac{x-1}{x+1}$$

Quantity A

x

Quantity B

1

Quantity A

The area of a rectangle with a perimeter of 32

Quantity B

The area of a rectangle with a perimeter of 52
Amy wants to build a fence around her level, circular garden. If the maximum distance between any two points in the garden is 6 feet, what length of fence, in feet, will form the border of the garden?
Solution A contains x percent alcohol by volume. Solution B contains y percent alcohol by volume. If 3 liters of solution A are mixed with 5 liters of solution B to yield 8 liters of solution C, what percent of the volume of solution C is alcohol?
If $$8^{x}=16$$, then $$x$$=
z > 0

Quantity A

20% of z

Quantity B

10% of 2z
Of Amy`s four sisters, two are taller than Amy and two are shorter than Amy.

Quantity A

The average (arithmetic mean) height of Amy`s four sisters

Quantity B

Amy`s height


Quantity A

The length of line segment DF

Quantity B

12

Quantity A

$$((\frac{1}{10})^{10})^{10}$$

Quantity B

$$\frac{1}{10^{(10^{10})}}$$


A researcher recorded the amount of time, rounded to the nearest second, that it took each of 14 people to complete a certain task. The recorded times are summarized in the boxplot shown. Which of the following statements must be true?

Indicate all such statements.


The scatterplot shows the amount of time, in minutes, that it took a team of two people to mow each of 10 lawns, including a lawn with area 4,100 square feet. Also shown is a trend line that is used to predict the amount of time, in minutes, that it will take the team to mow a lawn based on its area. The amount of time that it took the team to mow the lawn with area 4,100 square feet is approximately what percent less than the amount of time predicted by the trend line?
Approximately how many days will it take for a space vehicle to travel $$5.5(10^{7})$$ kilometers at an average speed of 10 kilometers per second?
The integers a, b, and c are positive, and a > b > c. When a, b, and c are divided by 3, the remainder are 0, 1, and 1, respectively.

Quantity A

The remainder when a+b is divided by 3

Quantity B

The remainder when a-c is divided by 3
$$x^{2}y > 0$$

$$x^{4}y^{2} – x^{4}y < 0$$

Quantity A

y

Quantity B

1

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