展开全部

题目列表

题目内容
Claire regularly backs up both of the computers that she owns. On the first day of June, she backs up both computers. Thereafter, she backs up one of the computers every sixth day during June (that is, on June 7 and so on), and she backs up the other computer every eighth day during June. On how many of the 30 days in June $$\underline{does}$$ she not back up either of the two computers.

_____days
n=123456789101112.........499500

The digits of the integer n above are the digits of the integers from 1 to 500 written in consecutive order. How many digits does n have?
r is the remainder obtained when dividing $$7^{995}+7^{50}-4$$ by 7

Quantity A

r

Quantity B

4


15,000 is divisible by $$25a^{k}b^{2}$$, where a and b are prime numbers, a ≠ b, and k is a positive integer.

Quantity A

The greatest possible value of k

Quantity B

3


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 each 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 A 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 201n+2q and 100n+q


共收录:

25000 +道题目

198本备考书籍

最新提问