GRE考满分·题库

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题目内容


A town library held a reading drive, in which 20 elementary school students were asked to record the number of books they read over the summer. Only whole numbers of books were recorded. The table above shows the results of the reading drive. The average (arithmetic mean) number of books read by the students was 2 books per student.

Which of the following statements individually provide(s) sufficient additional information to conclude that only one student read only 5 books?

Indicate all such statements.
All members of a university debate club are either undergraduate students or graduate students. At the beginning of a semester, the club had more undergraduate students than graduate students and the number of undergraduate students was $$p$$ percent of the number of members of the club. At the end of the semester, the club had $$n$$ more undergraduate students and $$n$$ more graduate students than at the beginning and the number of undergraduate students was $$r$$ percent of the number of members of the club.

Quantity A

$$p$$

Quantity B

$$r$$
$$N$$ is a two-digit integer. The units digit of $$N^2$$ is 9.

Quantity A

The units digit of N

Quantity B

6
Four locations on a map are labeled A, B, C, and D. Location B is directly north of location A, location C is directly east of location B. and location D is directly north of location C. As represented on the map, the distances between locations A and B, locations B and C, and locations C and D are 3 kilometers, 7 kilometers, and 12 kilometers, respectively. Which of the following is closest ot the distance, in kilometers, as represented on the map between locations A and D?

Quantity A

The number of different 2-member subsets of a set of 5 members

Quantity B

The number of different 3-member subsets of a set of 5 members
A survey of 300 travelers was taken at an airport. Of these travelers 90 percent were traveling on Airline A. Of those who were traveling on Airline A, 30 percent had first-class seats. Which of the following statements must be true about the 300 travelers?

Indicate all such statements.
Last year 40 percent of the students at College X took Biology I. If all of the science majors and 10 percent of the nonscience majors took Biology I, approximately what percent of the students at College X last year were science majors?
In an art history class, 70 percent of the students submitted their assignments on time, and of those who did not, 40 percent submitted their assignments one day late.

Quantity A

The percent of the class who neither submitted their assignments on time nor submitted them one day late

Quantity B

18%
Of 50 people surveyed, 32 people reported that they own a dog and the rest reported that they do not own a dog. Of the same group of people surveyed, 19 people reported that they own a cat and the rest reported that they do not own a cat. If 14 of the people who reported they own a dog also reported they own a cat, how many of the people surveyed reported that they do not own either a dog or a cat?
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

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