#### 题目列表

Of the artists in the graphics department of a multimedia company, 60 percent are working or digital projects, and the remaining artists are working on hard-copy projects. Of the artists working on digital projects. 20 percent attended a fine arts school. Of the artists working on hard-copy projects, 10 percent attended a fine arts school. Of the artists in the graphics department who attended a fine arts school, what percent are working on digital projects?
Of the paperbacks in a private library, 5 percent are biographies. If 3 percent of all the books in the library are paperbacks that are biographies, what percecnt of all the books in the library are paperbacks?

Each of the eight faces of an octahedron is labeled with a different number form 1 to 8. The octahedron was rolled 36 times, and the results are shown in the graph above, where the "Number Rolled" is the number on the top face of the octahedron after it was rolled. If the octahedron is to be rolled 4 additional times, what is the greatest possible value of the average (arithmetic mean) of the 40 number rolled?
$7^{n}$ is a positive integer whose units digit is 9. Which of the following can be the value of n?

Indicate all such numbers.
List A contains a certain number of consecutive integers including 2. The sum of all the integers in List A is 11.

#### Quantity A

The number of integers in List A

#### Quantity B

10

How many different positive 7-digit integers begin with 555 and end with 22?
x is an integer greater than 1.

$N=(15)^{x}(4)^{x-1}$?

#### Quantity A

The tens digit of N

#### Quantity B

0

If $\sqrt{108}$ =a*$\sqrt{b}$, where a and b are positive integers.

#### Quantity A

The number of the possible values of a+b

#### Quantity B

3

$x=(8q)^{n}$, where q and n are integers greater than 5 and q is odd.

#### Quantity A

The ratio of the number of odd positive factors of x to the number of even positive factor of x

#### Quantity B

$\frac{1}{3n}$

The boxplot shown summarizes the numbers in a certain list, where all the numbers are positive integers. Based on the boxplot, which of the following statements are true?

Indicate all such statements.

The boxplots above summarize the values for two data sets, A and B. Based on the boxplots, which of the following statements must be true?

The boxplot shown summarizes the total numbers of eggs laid daily by a flock of chickens on a certain farm last June. Based on the information given, which of the following statements must be true?

Indicate all such statements.

For the professors at universities A and B. the number of years of experience for cach professor was rounded to the nearest whole number and recorded, and the recorded numbers are summarized in the boxplots shown. If the first quartile of the recorded numbers of years of experience for the professors at A is p percent greater than that for B and if the third quartile of the recorded numbers of years of experience for the professors at 1 is r percent greater than that for B, approximately what is the value of p+r?
The harmonic mean of two positive numbers is the reciprocal of the average (arithmetic mean) of their reciprocals. The harmonic mean of 10 and 20 is closest to which of the following?
N is a positive 3-digit integer with hundreds digit x and units digit y. Which of the following must be a factor of N–100x–y ?
n and q are different positive integers.

#### Quantity A

The greatest common factor of n and q

#### Quantity B

The greatest common factor of 210n+2q and 100n+q

A certain team has fewer than 50 members. If all the members are divided into groups of 3 members each. there will be 2 members left over. If all the members are divided into groups of 5 members each, there will also be 2 members left over. If all the members are divided into groups of 4 members each, there will be no members left over. If 3 of the members are unavailable and the remaining members are divided into groups of 5 members each, how many members will be left over?
In a random 5-digit positive integer KLMNP, what is the probability that KLM and KNP are the same?

A cube has its faces numbered from 1 to 6. The cube is weighted in such a way that when it is rolled, the probability that X will appear on the top face is equal to $\frac{k}{X}$, where k is a constant. What is the value of k?