【GRE考满分题库检索】GRE 题目搜索_数学

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题目内容
$$n$$ is an integer greater than $$1$$ Quantity A The number of positive divisors of $$2n$$. Quantity B Twice the number of positive divisors of $$n$$
A triangle is inscribed in the circle with center $$O$$ as shown above. If the radius of the circle is $$5$$, what is the area of the shaded region? Give your answer to the nearest integer.
In a certain fire department, Adam works every third day, Branford works every fourth day, and Cathy works every fifth day. If all three work at the fire department today, in how many days will all three again work at the fire department on the same day?
The positive integer $$r$$ is a multiple of $$21$$. Quantity A The remainder when the integer $$20r$$ is divided by $$12$$ Quantity B $$0$$
When integer $$n$$ is divided by $$8$$, the remainder is $$3$$. When integer $$n^2$$ is divided by $$8$$, the remainder is $$R$$. Quantity A $$R$$ Quantity B $$1$$
$$E, F$$, and $$G$$ are midpoints of edges of the cube. Quantity A $$\frac{The area of triangular region EFG}{The surface area of the cube}$$ Quantity B $$\frac{1}{6}$$

In 1995, for resident students attending public colleges in the United States, the average cost of room and board was approximately what percent of the average total cost of attending college?
For 1995, which of the following ratios is closest to the ratio of the average cost of tuition and fees for students in private colleges in the United States to the corresponding average cost for students in public colleges?
In 1995, the average cost for tuition and fees for students attending four-year private colleges in the United States was $$6$$ percent higher than the corresponding average cost in 1994. Which of the following is closest to the 1994 average cost?

Approximately how many of the employees in the 2001 workforce were hired prior to 1994?
Approximately what fraction of the employees in the 2001 workforce was hired in 1998, 1999, or 2000?
Two employees will be randomly selected from the 2001 workforce. Which of the following is closest to the probability that both employees selected will be employees who were hired in 1997?
$$P$$, $$Q$$, and $$R$$ represent Paula, Quincy, and Robert, respectively. The table shows the average annual income for 2004 for different subgroups of these three people. What is the value of $$x$$?
The arithmetic mean and standard deviation of a list of numbers are $$10.8$$ and $$0$$. Quantity A The range of the numbers in the list Quantity B $$0$$
The random variable $$W$$ is normally distributed with $$P(W\lt k) \lt 0.6$$ and $$P(W \gt n) \lt0.1$$, where $$k$$ and $$n$$ are constants. Quantity A $$P(k\lt W\lt n)$$ Quantity B $$0.3$$
$$x_1, x_2, x_3, …, x_j, …$$ The sequence shown is defined by $$x_1=2$$ and $$x_j+1=\frac{1}{2}x_j$$ for each positive integer $$j$$. Quantity A $$x_9$$ Quantity B $$(2^{13})x_{22}$$
A box contains $$10$$ red balls, $$5$$ blue balls, and no other balls. Ann will randomly select, without replacement, $$2$$ balls from the box. Quantity A The probability that Ann will select $$2$$ red balls Quantity B $$\frac{3}{7}$$
The probability that event $$R$$ will occur is $$0.45$$, and the probability that events $$R$$ and $$T$$ will both occur is $$p$$. What is the greatest possible value of $$p$$?