GRE考满分·题库

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题目内容
At a factory, 7 identical machines,working independently, produce cat litter at the same constant rate. Working simultaneously, 5 of the machines take 14 minutes to produce 2,400 pounds of cat litter.How many minutes does it take all 7 machines, working simultaneously, to produce 3,600 pounds of cat litter?
$$j$$ and $$k$$ are integers such that 51 ≤ $$j$$ < $$k$$ ≤ 99.

Quantity A

The number of combinations of 100 objects taken $$j$$ at a time

Quantity B

The number of combinations of 100 objects taken $$k$$ at a time
$$N$$ is a two-digit integer. The units digit of $$N^2$$ is 9.

Quantity A

The units digit of N

Quantity B

6
x is $$\frac{1}{2}$$ of y.

Quantity A

x

Quantity B

y
Each of five data sets consists of 10 values, all of which are integers. The distributions of the values in the five data sets are shown. The values in which distribution have the greatest standard deviation?


To the nearest billion dollars, what was the median of the amounts of advertising expenses in the five television markets?


What was the range of the amounts of advertising expenses in the five television markets?

Give your answer to the nearest billion dollars.

$_____billion


The amount of advertising expenses in the national cable television market was approximately what percent of the total amount of advertising expenses?
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℉?
Of the 27 data points, P is the point for which the ratio of the monthly ice-cream consumption per person, in pints, to the average temperature,in degrees Fahrenheit,is greatest. Which of the following is closest to the average temperature that corresponds to P?
$$R_1$$: -3, -2, -1

$$R_2$$: 1, 2, 3

$$R_3$$: -3, -2, -1, 1, 2, 3

The standard deviations of the numbers in the lists $$R_1$$, $$R_2$$, and $$R_3$$ are $$s_1$$, $$s_2$$, and $$s_3$$, respectively. Which of the following is true?

Quantity A

The standard deviation of the five numbers 10, 30, 50, 70, and 90

Quantity B

The standard deviation of the five numbers 10, 45, 50, 55, and 90
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?
At the end of 1989, 10 million employees in the United States had their paychecks deposited electronically in their bank accounts. By the end of 1996, that number had increased to 50 million. If during the last year of the period from the end of 1989 through the end of 1996, the number of employees who had their paychecks deposited electronically increased by 10 million, what was the average (arithmetic mean) increase per year for the first 6 years in the period?
How many six-digit positive integers are greater than 535,000 and consist of the digits 1, 2, 3, 5, 7, 9, where each digit occurs only once?
A product testing company will test 7 different fax machines by linking every possible pair and transmitting first from one machine to the other and then transmitting in the opposite direction. Thus, 2 transmissions will occur in testing each pair. If each transmission takes 10 minutes, how many minutes of transmission time will it take to test all of the machines?
Of the 12 members of a certain club, one is to be selected to serve as president, and another is to be selected to serve as secretary. How many different choices of president and secretary can be selected from the 12 members of the club?
In a certain corporation,an employee council will consist of 3 employees who will be selected from 20 eligible employees. If each of the 3 positions on the council has a different role on the council,then there are 6,840 possible 3-employee selections from the 20 eligible employees. How many possible 3-employee selections are there if the 3 positions all have the same role?
If an integer is chosen at random from the integers between 3,000 and 3,799,inclusive,what is the probability that the chosen integer will be between 3,020 and 3,039, inclusive?
A certain group of 10 people consists of 5 men and 5 women. From this group, 2 people are to be selected at random. The probability that the 2 people selected will consist of 1 man and 1 woman is equal to p.

Quantity A

p

Quantity B

$$\frac{1}{2}$$

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