GRE考满分·题库

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题目内容
In the xy-plane, line $$p$$ has the equation $$y=\frac{3}{2}x+8$$, and line $$l$$ has the equation $$y=-\frac{2}{3}x+c$$, where $$c$$ is a constant. The two lines intersect at a point with x-coordinate 6. What is the x-intercept of line $$l$$?


For the twelve categories in the table, which of the following is closest to the median number of restaurants?
z > 140



Quantity A

y-x

Quantity B

10
A survey conducted by the department of motor vehicles on a sample of 200 car owners revealed that 15 percent of the sample had an expired driver's license, 10 percent had one or more outstanding parking tickets, and 78 percent had neither an expired driver's license nor any outstanding parking tickets. How many car owners in the sample had both an expired driver's license and one or more outstanding parking tickets?


A homeowner wants to pour concrete for a new patio and walkway according to the layout shown above. If the concrete is to be $$\frac{1}{3}$$ foot thick, how many cubic feet of concrete will be needed to form the patio and walkway?
The sequence $$a_1$$, $$a_2$$,.......$$a_n$$......... is defined by $$a_1$$=1, $$a_2$$=1, and $$a_n$$= $$a_{n-1}$$+ $$a_{n-2}$$ for all integers $$n ≥ 3$$. Which of the following values are terms of the sequence?

Indicate all such values.
There are 25 students in Ms. Ware's class-15 of these students take French, 12 of these students take Spanish, and 8 of these students take Latin. If all 25 students in Ms.Ware's class take at least one of these three language courses, which of the following is the greatest possible number of students in the class who could be taking all three language courses?
Dialogue exchanges indicating deep-seated rivalries among the characters abound in the novel, but they are almost always associated with_______events--everyday commercial transactions, for instance, or the preparation of an evening meal.
Because the political situation seriously impeded international communication, French scientific research was at that time uncharacteristically________.
Which of the following is an equation of a line in the xy-plane that has a slope of 2 and that intersects the x-axis at x=3?
$$h^{2}>1$$

Quantity A

h

Quantity B

$$\frac{1}{h}$$
$$\frac{x^{3}}{y^{6}}$$=$$\frac{1}{27}$$

Quantity A

3x

Quantity B

$$y^{2}$$
When the positive integer t is divided by 5, the remainder is 3, and when t is divided by 6, the remainder is 2.

Quantity A

t

Quantity B

38
An exercise ball is made from soft elastic that has uniform thickness of 2 millimeters, and the interior of the ball is filled with air. The ball is in the shape of a sphere and has an exterior diameter of 65 centimeters. What is the radius of the interior of the ball, in millimeters?
A certain toy company manufactures tricycles at a cost of $$$750$$ for a batch of $$50$$ small tricycles and at a cost of $$$1,000$$ for a batch of $$50$$ large tricycles. The company sells small and large tricycles for $$$75$$ and $ $$110$$, respectively. Which of the following represents the number of dollars profit that the company makes from the sale of $$700$$ small and $$600$$ large tricycles? (Profit is sales minus cost.)
A rectangular piece of sheet metal has a width of w centimeters, where w ≥ 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?
Which of the following inequalities is consistent with the statement that the time it took train K to travel r miles at a constant rate of s miles per hour is less than the time it took train M to travel y miles at a constant rate of z miles per hour?
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?
Consider all the permutations of the letters in the word $$MISSISSIPPI$$, where $$I$$ is a vowel and the other letters are consonants.



Quantity A

The number of permutations in which all the vowels are next to each other

Quantity B

The number of permutations in which all the consonants are next to each other

Quantity A

The area of a rectangle with a perimeter of 32

Quantity B

The area of a rectangle with a perimeter of 52

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