GRE考满分·题库

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题目内容
The average (arithmetic mean) of the four numbers 22, 26, p and q is 12, and p > 0.

Quantity A

q

Quantity B

0
John bought a suit for a selling price of s dollars, where s is an integer greater than 50. He paid a tax on the suit that was r perccent of the selling price of the suit, where r is a positive integer less than 10.

Quantity A

The tax John paid on the suit

Quantity B

$$\frac{sr}{100}$$
Of the 72 fish in a certain aquarium, $$\frac{1}{3}$$ are brown and the remaining $$\frac{2}{3}$$ are white. Among the 72 fish, $$\frac{1}{2}$$ have orange fins and $$\frac{1}{2}$$ have black fins. If $$\frac{2}{3}$$ of the white fish have orange fins, how many of the brown fish have black fins?
Pat has five matched pairs of socks and no two of the pairs are the same color. If Pat selects two socks simultaneously and at random, what is the probability that the two socks selected will be a matched pair?
There has been a noticeable reversal from the time when (i)____________ was accepted as the essential characteristic of genuine science: now the role of (ii)____________ in scientific research is generating a great deal of interest.
Which of the following, if true, provides the strongest, additional support for the hypothesis given?
x=31.231

Quantity A

The digit in the tenths place of x

Quantity B

The digit in the tenths place of 5x
A certain rectangular painting is 1.5 feet high and 3 times as wide as it is high. The painting is to be framed by a wood frame that is 3 inches wide, as shown in the figure.



Which of the following is closest to the minimum number of feet of 3-inch-wide wood framing that will be needed to frame the painting? (1 foot = 12 inches)
The area of rectangular region R is 50 percent greater than the area of rectangular region S. If the length of R is 25 percent greater than the length of S, then the width of R is what percent greater than the width of S?
The functions $$f$$ and $$g$$ are defined for all numbers x by $$f(x)=x^{2}$$ and $$g(x)=bx+1$$, where b is a constant and $$0 < b < 2$$. Which of the following could be the graph of $$y=f(x)+g(x)$$ in the xy-plane?


In a set of cards, each card is colored one of three colors and each card is labeled with one letter as indicated in the table. If one card is to be selected at random from the set, what is the probability that the selected card will be blue or labeled with the letter W?
A certain box is in the shape of a cube. If the total surface area of the box is 384 square feet, what is the total length, in feet, of all the edges of the box?


Triangles ABC and AED are congruent, where BC=DE. If y=63, what is the value of x?

x=_____
A certain museum contains a total of 1,500 works of art, of which 800 are paintings. Of the twentieth-century works of art in the museum, 40 percent are paintings. Of the works of art that are not paintings, 490 are not twentieth-century works of art.

How many twentieth-century works of art does the museum contain?
1+2+3+......+n=$$\frac{n(n+1)}{2}$$

For each integer n greater than 1, the sum of the first n positive integers is given by the formula shown.

If the average (arithmetic mean) of the first n positive integers is k, what is the sum of the first n positive integers in terms of k?
By sucking people into towns and draining the countryside of communities and workers, the passenger train (i)____________ its reason for being: moving people between country districts and urban centers. The major (ii)____________ urbanization in the United States, the railway fell victim to it. Once the overwhelming majority of nonelective journeys were either very long or very short, it became (iii)____________ for people to undertake them in planes or cars.
The volume of a red container is 3 times the volume of a green container. What fraction of the green container is equal to $$\frac{1}{12}$$ of the volume of the red container?
What is the measure of an interior angle of a regular polygon with 5 sides?
x and y are integers.

4 ≤ x ≤ 13

4 ≤ y ≤ 13

Quantity A

The least possible value of $$\frac{3x-4}{y+7}$$

Quantity B

$$\frac{2}{5}$$
Three machines, working independently, can make a production lot of widgets in 4, 6, and 8 hours, respectively. If the machines work simultaneously at their respective uniform rates to make a single lot, what fraction of the lot will be made by the fastest machine?

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