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By weight, liquid A makes up 8 percent of solution R and 18 percent of solution S. If 3 grams of solution R are mixed with 7 grams of solution S, then liquid A accounts for what percent of the weight of the resulting solution?
Of the 700 members of a certain organization, 120 are lawyers. Two members of the organization will be selected at random. Which of the following is closest to the probability that neither of the members selected will be a lawyer?
The figure above represents a rectangular garden with a walkway around it. The garden is 18 feet long and 12 feet wide. The walkway is uniformly 3 feet wide, and its edges meet at right angles. What is the area of the walkway?

_____square feet
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Line k lies in the xy-plane. The x-intercept of line k is -4, and line k passes through the midpoint of the line segment whose endpoints are (2, 9) and (2, 0). What is the slope of line k ?

Give your answer as a fraction.

_____/_____
If the lengths of two sides of a triangle are 5 and 9, respectively, which of the following could be the length of the third side of the triangle?

Indicate all such lengths.
On the number line shown above, the tick marks are equally spaced. Which of the following statements about the numbers x, y, and z must be true?

Indicate all such statements.
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In the figure above, ABCD is a parallelogram.

Quantity A

The area of ABCD

Quantity B

24


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In the course of an experiment, 95 measurements were recorded, and all of the measurements were integers. The 95 measurements were then grouped into 7 measurement intervals. The graph above shows the frequency distribution of the 95 measurements by measurement interval.

Quantity A

The average (arithmetic mean) of the 95 measurements

Quantity B

The median of the 95 measurements


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x is an integer greater than 1.

Quantity A

$$3^{x+1}$$

Quantity B

$$4^{x}$$


A, B, and C are three rectangles. The length and width of rectangle A are 10 percent greater and 10 percent less, respectively, than the length and width of rectangle C. The length and width of rectangle B are 20 percent greater and 20 percent less, respectively, than the length and width of rectangle C.

Quantity A

The area of rectangle A

Quantity B

The area of rectangle B


The random variable X is normally distributed. The values 650 and 850 are at the 60th and 90th percentiles of the distribution of X, respectively.

Quantity A

The value at the 75th percentile of the distribution of X

Quantity B

750


Set S consists of all positive integers less than 81 that are not equal to the square of an integer.

Quantity A

The number of integers in set S

Quantity B

72


A manager is forming a 6-person team to work on a certain project. From the 11 candidates available for the team, the manager has already chosen 3 to be on the team. In selecting the other 3 team members, how many different combinations of 3 of the remaining candidates does the manager have to choose from?
Which of the following could be the graph of all values of x that satisfy the inequality 2 - 5x ≤$$\frac{(6x-5)}{3}$$
If $$1+x+x^2+x^3=60$$, then the average (arithmetic mean) of x, $$x^2, x^3, and x^4$$ is equal to which of the following?
Parallelogram OPQR lies in the xy-plane, as shown in the figure above. The coordinates of point P are (2,4) and the coordinates of point Q are (8,6). What are the coordinates of point R ? GRE、gre题库、gre模考、gre考满分
The relationship between the area A of a circle and its circumference C is given by the formula A = $$kC^2$$,where k is a constant. What is the value of k ?
The sequence of numbers $$a_1,a_2,a_3,...,a_n...$$is defined by$$a_n=\frac{1}{n}-\frac{1}{n+2}$$for each integer n≥1.What is the sum of the first 20 terms of this sequence?
The table above shows the frequency distribution of the values of a variable Y. What is the mean of the distribution?

Give your answer to the nearest 0.01.

_____
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Let S be the set of all positive integers n such that $$n^2$$ is a multiple of both 24 and 108. Which of the following integers are divisors of every integer n in S ?

Indicate all such integers.

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