GRE考满分·题库

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题目内容
The distance from the center of tree A to the center of tree B is 20 feet. The distance from the center of tree A to the center of tree C is 12 feet. The centers of the three trees are not, in a straight line. Which of the following values could be the distance, in feet, from the center of tree B to the center of tree C?

Indicate all such values,
Though the art of writing was well established in Egypt and Mesopotama long before Shang period, the Chinese writing that appeared then seems to have been an entirely ______________ development.


What is the perimeter of the shaded region of the rectangle shown above if each of the unshaded regions is a 90-degree sector of a circle with radius r?
It can be inferred from the passage that the Chinese emperor and the bureaucracy differed with respect to the
$$1$$ foot=$$12$$ inches

$$1$$ yard=$$3$$ feet

$$1$$ mile=$$5,280$$ feet

Approximately how many cubic yards of asphalt are needed to cover a level road that is $$\frac{1}{2}$$ mile long and $$24$$ feet wide with a layer of asphalt that is $$4$$ inches thick?
The Federal Reserve Bank is one of the most ____________ institutions in the United States, yet many are not aware of the important operations and activities it has carried out during its lifetime.
At a certain high school, 90 percent of seniors who take physics also take calculus and 60 percent of seniors who take calculus also take physics. If 30 percent of seniors at the school take physics, what percent of seniors take calculus?
The area of a circle with radius $$c$$ is less than the area of a square with sides of length $$kc$$. Which of the following could be the value of $$k$$?

Indicate all such values.


If one Corporation R restaurant is to be randomly selected from those in the southeast region, what is the probability that the restaurant selected will be located in a city with a population under 50,000?


The design shown in the figure consists of squares and is created in several steps. In the first step, a square measuring 1 inch on each side is drawn. In the second step, a 1-inch-wide border is drawn around the square, creating a larger square. In each subsequent step, a 1-inch-wide border is drawn around the largest existing square. What is the number of steps that will be needed in order to create a design in which the largest existing square measures 47 inches on each side?

_____ steps
Two seating arrangements of people around a circular table are called the same if, for each seated person, the same person is seated to that person's immediate right in both arrangements.

Quantity A

The number of different seating arrangements of 4 people around a circular table

Quantity B

8
A rectangular piece of sheet metal has a width of $$w$$ centimeters, where $$w \geq 30$$. The length of the sheet metal is 3.5 times its width. If squares with sides of length 10 centimeters are removed from each corner of the sheet metal and the sides are folded up to make an open box, what is the volume of the box?
The standard deviation of $$n$$ numbers $$x_{1}$$, $$x_{2}$$, $$x_{3}$$,......, $$x_{n}$$, with mean $$\overline{x}$$ is equal to $$\sqrt{\frac{s}{n}}$$, where $$S$$ is the sum of the squared differences $$(x_{i} - \overline{x})^{2}$$ for 1 ≤ i ≤ n.

For what value of $$x$$ is the standard deviation of the numbers $$6$$, $$14$$, $$16$$, and $$x$$ least?
As a result of a chemical reaction between compounds A and B. $$\frac{1}{4}$$ of each compound was transformed into an equal amount of the other compound, while the remaining $$\frac{3}{4}$$ of each compound was not transformed. If the amount of B was initially 4 times the amount of A. what was the ratio of the amount of A to the amount of B after the reaction?
A pound of tea makes 210 cups of tea, and a pound of coffee makes 40 cups of coffee. If, on the average, a restaurant serves 12 times as many cups of coffee as tea, what is the ratio of pounds of tea to pounds of coffee used at the restaurant?

Quantity A

$$\frac{9^{17}}{8^{17}}$$

Quantity B

$$\frac{9^{17}+5^{10}}{8^{17}+5^{10}}$$
Each day for 25 days, the number of people who used a certain library that day was recorded. The standard deviation of the 25 recorded numbers is 12.

Which of the following statements individually provide(s) sufficient additional information to determine the mean of the 25 recorded numbers?

Indicate all such statements.
From a group of 100 people including Alice and Bob, 40 people are to be randomly selected at the same time to win movie tickets. What is the probability that both Alice and Bob will be selected to win movie tickets?


A town library held a reading drive, in which 20 elementary school students were asked to record the number of books they read over the summer. Only whole numbers of books were recorded. The table above shows the results of the reading drive. The average (arithmetic mean) number of books read by the students was 2 books per student.

Which of the following statements individually provide(s) sufficient additional information to conclude that only one student read only 5 books?

Indicate all such statements.
For all values of $$a$$ and $$b$$, $$(a+b)^3 =a^3+3a^2b+3ab^2+b^3$$.

Quantity A

$$(c-d)^3+3(c-d)^2d+3(c-d)d^2+d^3$$

Quantity B

$$c^3$$

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