GRE考满分·题库

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题目内容
The repeating decimal $$0.9\overline{63}$$ is equivalent to the fraction $$\frac{x}{y}$$, where x and y are positive integers whose greatest common factor is 1.

Quantity A

x+y

Quantity B

150
Quadrilateral EFGH is inscribed in a circle such that side FG is a diameter of the circle.

Quantity A

The area of EFGH

Quantity B

$$\frac{1}{4}$$ the area of the circle


The graphs show the cumulative relative frequency for the values in data set A and the values in data set B, where the cumulative relative frequency of each value v is the sum of the relative frequencies of the values less than or equal to v. If x percent of the values in A are less thar or equal to 20 and y percent of the values in B are less than or equal to 20, which of the following is the best estimate of x-y?
A firewood seller assembled a 440-piece bundle of firewood. Each piece of firewood in the bundle was one of two types: high quality or medium quairty. The ratio of the number of high-quality pieces to the number of medium-quality pieces was 8:3. How many high-quality pieces were in the bundle of firewood?
Let $$n$$ be a positive integer less than 1,000, and let $$k$$ be the remainder when $$16^n$$ is divided by 100. For how many values of $$n$$ is $$k$$ equal to 96?
Each of trapezoids B and C has two adjacent right angles and bases that are two opposite parallel sides. The distance between the bases of B is the same as the distance between the bases of C. One base of B is twice as long as the other base of B.The shorter base of C is half as long as the shorter base of B, and the longer base of C is twice as long as the longer base of B. What is the ratio of the area of B to the area of C?
How many positive integers lesss than or equal to 770 are neither multiples of 7 nor multiples of 11?
Let S be a list of 5 positive integers. For the integers in S, the average (arithmetic mean) is 6, the median is 4, and the unique mode is 3. What is the greatest possible value of the range of the integers in S?
If a data point is to be chosen at random from those points for which the monthly ice-cream consumption per person is greater than 0.4 pint, what is the probability that the average temperature corresponding to the data point chosen will be lower than 60℉?
$$R_1$$: 13.2, 14.2, 15.2, 16.2, 17.2

$$R_2$$: (13)(0.2), (14)(0.2), (15)(0.2), (16)(0.2), (17)(0.2)

$$R_3: \frac{13}{0.2}, \frac{14}{0.2}, \frac{15}{0.2}, \frac{16}{0.2}, \frac{17}{0.2}$$

If $$s_1, s_2$$,and $$s_3$$ are the standard deviations of lists $$R_1, R_2$$,and $$R_3$$ respectively,which of the following shows the standard deviations in order from least to greatest?
Which of the following lists of numbers has the greatest standard deviation?


Quantity A

The standard deviation of the distribution of X

Quantity B

The standard deviation of the distribution of Y
If the results of this survey accurately reflect the distribution of car ownership in a population of 1.2 million families, approximately how many of the families would most likely have exactly 3 motor vehicles?
How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 if all the digits in each number must be different?
The cast of a certain play has 2 male characters and 2 female characters. The director of the play will select the 2 male characters from 6 male actors and the 2 female characters from 8 female actors. How many different sets of 4 actors, consisting of 2 male actors and 2 female actors, are there that can be selected by the director?

Quantity A

The number of different groups of 2 kittens that can be chosen from a litter of 8 kittens

Quantity B

The number of different groups of 6 puppies that can be chosen from a litter of 8 puppies
A number is to be selected at random from the integers from 100 through 999.

Quantity A

The probability that exactly two adjacent digits of the number selected will be the same

Quantity B

$$\frac{1}{5}$$
At a research organization, a committee consists of 3 members from department A, 3 members from department B, and 3 members from department C. From the committee, 2 different members will be selected at random to attend a conference. What is the probability that both of the members selected will be from department C?


For a population of 1,000,000 used computer batteries, the distribution of the durations that a fully charged battery will power a computer is approximately normal with mean 3.5 hours.The manufacturer of the batteries estimates that 20,000 of the batteries will have a power duration greater than 5.1 hours. Of the following,which is the best estimate of the standard deviation, in hours, of the distribution?
Approximately what percent of the families with students in public colleges use loans as the main source to pay for college expenses?

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