GRE考满分·题库

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x=3

Quantity A

$$(x^x)^x$$

Quantity B

$$x^{x^x}$$


ABCD is a rectangle. Point E is between points C and D. Point X is the midpoint of AE.

Quantity A

The length of AX

Quantity B

The length of CX
Set S consists of the multiples of 3 from 9 to 99, inclusive.

Quantity A

The median of the numbers in set S

Quantity B

48
At a certain online bookstore, the price of each book is the same.The total price of a customer order is the sum of the prices of the books in the order plus a shipping fee that is constant regardless of the number of books purchased. Last year the average (arithmetic mean) number of books per customer order was 1.5, and the average of the total prices of the orders was $10.50. Which of the following amounts could be the book price and the shipping fee last year?

Indicate all such amounts.
Paul has between 100 and 130 cards. He can put the cards into piles of 3 cards each, with 2 cards left over. He can also put the cards into piles of 4 cards each, with 1 card left over. Which of the following could be the number of cards that Paul has?

Indicate all such numbers.
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?


A customer had 6 items dry-cleaned at the prices shown in the table. Each of the items was either a shirt or a pair of pants. If the total price for the dry cleaning was $14.00,how many shirts did the customer have dry-cleaned?
In a certain apartment complex,the probability that a household selected at random will be one that subscribes to newspaper T is 0.5 and the probability that a household selected at random will be one that subscribes to newspaper W is 0.3. If the probability that the selected household will be one that subscribes to both newspaper T and newspaper W is 0.1, what is the probability that the selected household will be one that subscribes to neither newspaper T nor newspaper W?


Quantity A

x

Quantity B

90
Let $$k$$ be a positive integer, and let $$n$$ be a random variable whose values are the integers from 1 to $$k$$. The probability distribution of $$n$$ is defined by $$P(n)=\frac{2n-1}{d}$$, where $$d$$ is a constant.

Quantity A

$$d$$

Quantity B

$$k^2$$
$$j$$ 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
The four letters w, x, y, z are to be randomly sequenced.

Quantity A

The probability that w will precede x in the sequence

Quantity B

$$\frac{1}{2}$$
In a group of 13 students, 9 are English majors and 9 are physics minors. Which of the following could be the number of students in the group who are both English majors and physics minors?


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, 7kilometers, 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?

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