GRE考满分·题库

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题目内容
A student has a box containing only two kinds of bills: 6 Canadian dollar bills and y Australian dollar bills. If more than $$\frac{3}{8}$$ of the bills in the box are Australian dollar bills, what is the least number of bills that the student could have in the box?
Fara's book is no ordinary account of how scientific knowledge has accumulated. Instead, Fara focuses on how science has been guided by social and political factors. Her aim is to (i)____________ the notion of science as an objective search for truth. The study is an impressive (ii)___________ the idealization of science. Yet Fara takes her argument too far by (iii)_____________ how the knowledge produced by science relates to the external world: she treats all theories as equal, regardless of whether they are supported by evidence.
In the rectangular coordinate system, the "D-length" between points ($$x_{1}, y_{1}$$) and ($$x_{2}, y_{2}$$) is defined as the greater of the two quantities |$$x_{1}-x_{2}$$| and |$$y_{1}-y_{2}$$|. Points R, S, and T have coordinates (-3, 1), (3, 5), and (4, 1), respectively.

Quantity A

The D-length between points R and S

Quantity B

The D-length between points R and T
Each of eight consecutive positive integers is divided by 8, and the resulting remainders are recorded.

Quantity A

The average (arithmetic mean) of the 8 remainders recorded

Quantity B

3.5
In a certain town, the total number of inches of rainfall in the month of July for the five years from 2005 through 2009 were 3.8, 4.0, 2.6, 3.1, and x, respectively. If the median of the five rainfall totals was 3.1 inches, which of the following could be the value of x?

Indicate all such values.


An experiment has five possible outcomes -- A, B, C, D, and E. The table shows the probabilities of three of the five outcomes. The probability of outcome C is twice the probability of outcome E.

Quantity A

The probability of outcome E

Quantity B

$$\frac{1}{9}$$
In the xy-plane, a triangle has vertices $$(0, 3)$$, $$(b, 3)$$, and $$(0, 3b)$$, where $$b$$ is a constant. If the area of the triangle is $$18$$. which of the following is a possible value of $$b$$?
$$x < x^{2}$$

Quantity A

1-x

Quantity B

0
Of the 1,200 seniors at a certain college, one-quarter live on campus and the rest live off campus. Three-quarters of the seniors at the college own a car. Which of the following statements must be true?
Machines A and B each assembled 3,000 metal clips in 15 hours and 12 hours, respectively, working alone at their constant rates. On Monday, working simultaneously at their respective constant rates, the two machines assembled a total of n clips in x hours. The next day, machine A was modified so that its constant rate decreased by 25 percent. If the two machines worked simultaneously at their respective constant rates for x hours after the modification of machine A, then the total number of clips that they assembled in x hours was approximately what percent less than it was the day before?
The range of the seven integers in a list is 12, and all of the integers are different. If the median of the seven integers is 86, what is the least possible integer in the list?


The figure shows the standard normal distribution with probabilities, rounded to the nearest 0.01, indicated for six intervals.

The number of available vacation hours for 700 employees of a certain company is approximately normally distributed, with a mean of 80 hours and a standard deviation of 16 hours. According to the figure shown, approximately what percent of the 700 employees have less than 48 available vacation hours?
In a group of 50 students, 22 are enrolled in a psychology course, some are enrolled in a sociology course, some are enrolled in both courses, and some are not enrolled in either course.

Which of the following statements individually provide(s) sufficient additional informatioin to determine the number of students enrolled in both courses?

Indicate all such statements.
For how many of the five response categories in the table was the number of responses less than 750?
Based on the information given, which of the following statements are true?

Indicate all such statements.
If 24 percent of the homeowners who were asked Question 2 responded both "house is comfortable" and "house is in good condition", what percent of the homeowners who were asked Question 2 gave neither of these responses?
Let x, y, and z be positive numbers. If x is 12.5 percent of y and x is 3.125 percent of z, then x is what percent of y+z?

_____%
Which of the following best represents the graph in the xy-plane of $$y=(x-2)^{2}-x^{2}$$?


If the responses summarized in the table represent an 80 percent return from the total number of departments receiving the survey questionnaire, how many departments received the survey questionnaire?


If a department uses exactly 2 of the types of software, how many different pairs are possible?

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