#### 题目列表

$1\lt{x}\lt{2}$

#### Quantity A

The volume of a cube whose edges are x

#### Quantity B

The volume of a rectangular solid whose dimensions are (x-1), x and (x+1)

For how many positive integers, x, is it true that $x^3≤3x$?
The lengths of two sides of a triangle are 3 and 4. Which of the following could be the length of the third side?

Indicate all such lengths.
$\frac{a-b}{7-3}=$
An antique dealer bought a chair for $100 and later sold it for$1,000. By what percent did the value of the chair increase?
If x + y = 123 and x – y = 89, what is the value of $x^2–y^2$?

_____
If the average (arithmetic mean) of 10, 20, 30, 40, and x is 60, what is the value of x?
What is the area of a circle whose radius is the diagonal of a square whose area is 4?
If $2^a \times 2^b=2^c$ and $0\lt{c}\lt{1}$, then which of the following could be the average (arithmetic mean) of a and b? Indicate all such averages.
What is the surface area, in square inches, of a cube whose volume is 216 cubic inches?
In a certain state, each license plate consists of either three digits (between 0 and 9, inclusive) followed by two letters or three letters followed by two digits. For example, 055-XY, 123-PP, and AAA-70 are all acceptable plates. How many different license plates can the state issue?

_____
n is an even integer

#### Quantity A

The number of prime factors of n

#### Quantity B

The number of prime factors of $\frac{n}{2}$

$\frac{2}{3}$ of $x$ equals $\frac{3}{4}$ of $x$

#### Quantity A

$\frac{4}{5}$ of $x$

0

AC

#### Quantity B

10

At Central High School 50 girls play intramural basketball, 40 girls play intramural volleyball, and 10 girls play both sports.

#### Quantity A

The ratio of the number of girls who play only basketball to the number who play only volleyball

#### Quantity B

$\frac{4}{3}$

The measures of the angles in ΔI are in the ratio of 1:2:3; The measures of the angles in ΔII are in the ratio 2:7:9.

#### Quantity A

measure of the largest angle of ΔI

#### Quantity B

measure of the largest angle of ΔII

At XYZ Corp. the ratio of the number of male employees to the number of female employees is 3:2. 20 percent of the male and 30 percent of the female employees attended the company picnic.

#### Quantity A

The number of males at the picnic

#### Quantity B

The number of females at the picnic

The figure below consists of four circles with the same center. The radii of the four circles are 1, 2, 3, and 4.

#### Quantity A

The area of the shaded region

#### Quantity B

The area of the white region

If the ratio of boys to girls in a club is 2:3, what percent of the club members are girls?
If 0.6<$\frac{1}{x}$<0.7, then which of the following could be the value of x? Indicate all such values.

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