GRE考满分·题库

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题目内容
The students in an elementary school were asked to choose their favorite color from a list of colors. Of all the students, $$\frac{1}{2}$$ chose red. Of the students who did not choose red, $$\frac{1}{4}$$ chose blue. Of the students who did not choose red or blue, $$\frac{1}{5}$$ chose green. What fraction of the students did not choose red, blue, or green?
At Central High School, 25 percent of the male students and 30 percent of the female students are on sports teams. Of all Central High School students, 60 percent are male.

Quantity A

The fraction of the Central High School students on sports teams that are female

Quantity B

$$\frac{4}{9}$$
Of the 45 candidates for a certain job, 20 are married. Of the candidates who are married, 8 do not have a PhD. Of the candidates who are not married, 15 have a PhD.

Quantity A

The number of candidates who do not have a PhD

Quantity B

18
Of the applicants for a job, 6 percent had a degree in computer science and spoke Russian. If 90 percent of the applicants who had a degree in computer science did not speak Russian, what fraction of all the applicants had a degree in computer science?
At a medical clinic, there are exactly 20 medical personnel-8 doctors and 12 nurses. Of these medical personnel, 9 are men, and 3 of the 9 men are nurses. If a doctor is chosen at random, what is the probability that the doctor chosen will be a woman?
In January a company purchased 5,000 gallons of fuel at an average price of $0.96 per gallon. In February the company purchased 6,000 gallons at an average price of $0.90 per gallon.

Quantity A

The amount by which the February fuel cost exceeded the January fuel cost

Quantity B

$600
The lengths of two of the sides of a certain isosceles triangle are 5 and 9.

Quantity A

The perimeter of the triangle

Quantity B

20
$$x^{4}=y^{4}$$

Quantity A

x

Quantity B

y
The operation ● is defined for all numbers a and b by the equation a●b=3a+2b.

Quantity A

(0●1)●2

Quantity B

0●(1●2)




ABCD is a rectangle. E and F are the midpoints of sides BC and CD, respectively.

Quantity A

The area of quadrilateral region AECF

Quantity B

$$\frac{1}{2}$$ the area of rectangular region ABCD
List P consists of all prime numbers between 30 and 100. List S consists of all odd integers between 30 and 100 that are not prime numbers.

Quantity A

The range of the numbers in P

Quantity B

The range of the numbers in S
N is the number of ordered pairs (x, y) such that 4y < 12-3x and each of x and y is a positive integer.

Quantity A

N

Quantity B

3
A={1, 4, 7, 9, 11}

B={3, 4, 5, 6, 7, 8, 9}

For sets A and B above, which of the following sets is a subset of A but not a subset of B?

Indicate all such sets.
A continuous random variable R has a mean of 77 and a standard deviation of 8. What is the value of R that is 2.5 standard deviation above the mean?
A ball is to be selected at random from a bag containing red balls, green balls, and blue balls. The probability of selecting a red ball is equal to x. If the probability of selecting a green ball equals the probability of selecting a blue ball, what is the probability of selecting a green ball, in terms of x ?


A simple sailboat often has two sails, the mainsail and the headsail, as shown in the figure above.A recreational sailor is building a simple sailboat and is designing each sail to be in the shape of a right triangle. The mainsail will have a height of 12 feet and a hypotenuse of length 15 feet.The headsail will have a height of 15 feet and a hypotenuse of length 16.25 feet. Based on the design, the area of the mainsail will be how much greater than the area of the headsail?

Give your answer to the nearest square foot.


How many of the airlines shown had more than 500,000 passengers in June 2006?


For Airline D in June 2007, if the average number of passengers per flight was the same for lights that were not on time as it was for all flights, approximately how many passengers were on a flight that was not on time?


Approximately how many passengers did Airline E carry in June 2006?

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