GRE考满分·题库

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题目内容


ABCD is a square, AEFG is a rectangle, and BE=DG.

Quantity A

The area of square ABCD

Quantity B

The area of rectangle AEFG


The center of each of the five circles is point O. The radii of the five circles, from smallest to largest, are r, 2r, 3r, 4r, and 5r, respectively.

Quantity A

The area of the shaded region

Quantity B

The area of the striped region


As shown in the figure, the centers of the two circles are respectively on the circumference of each other, and the radius is 3. What is the perimeter of this figure?


In the figure, MN is tangent to the circle at point P, and O is the center of the circle, and the length of PN is $$2\sqrt{3}$$.

Quantity A

The circumference of the circle

Quantity B

36
A box manufacturer is designing a closed box in the shape of a rectangular solid. The ratio of the lengths of the sides of the box is 1 to 2 to 3. The total surface area of the box is 550 square inches. What is the volume of the box, in cubic inches?
If a person is randomly chosen from Country M, approximately what is the probability that the person will have one of the two most common of the eight blood types?
In region $$R_3$$, for how many of the eight blood types are there fewer than 100,000 people with that blood type?
For a group of 9 steel beams stored together, the average (arithmetic mean) length of the beams is 7.2 meters and the median length is 8.4 meters. Two additional steel beams-one that is longer than all 9 beams and one that is shorter than all 9 beams-will be stored with the 9 beams. For the combined group of 11 steel beams, the average length is m meters and the median length is d meters. Which of the following statements must be true?

Indicate all such statements.


The table above summarizes customer satisfaction ratings for two banks, where each rating is an integer from 1 to 10. Which of the following statements must be true?

Indicate all such statements.
The sum of the first n positive integers can be found using the formula $$\frac{n(n+1)}{2}$$.

The sum of the first n positive odd integers can be found using the formula $$(\frac{s}{2})^2$$, where s is the sum of the first and last odd integer.

If x is equal to the sum of the integers from 1 to 100, and if y is equal to $$\frac{1}{2}$$ of the sum of the odd integers from 1 to 199, what is the value of x-y?
If a sequence is defined by $$a_{n}=n(-1)^{n}$$ for all integers n from 1 through 499, what is the sum of all the terms in the sequence?
A team of two students from an art school is to be selected to represent the school at a national event. The two students will be selected from the students in three classes that have no students in common. The three classes have 10 students, 8 students, and 7 students. If the two students must be selected from different classes, how many teams are possible?
I did not begin work on my biography of Mary Somerville as Somerville's (i)__________. When I first began studying her, I saw Somerville and the esteem in which her contemporaries held her as (ii)____________. Over time, however, I have come to understand what she accomplished and why it was justly valued.
If it is wrong to justify human selfishness on the basis of the alleged selfishness of nature, then it is equally mistaken to espouse ____________ merely because some animals happily assist each other.
Baron's book implores scientists to present their work in ways that are accessible to the general public in order to save the world at large from scientific illiteracy, ______________ that is echoed in other recent publications.
Robin's words were not without emotion: they retained their level tone only by a careful ______________ extremes.
The extant evidence of Pluto's collisions with other cosmic objects over time is (i)____________. When Pluto is closest to the Sun, frozen surface material evaporates into a temporary atmosphere and eventually into space. This process (ii)____________ older impact craters, so Pluto's surface provides a record of (iii)____________ collisions.
The television network seems to regard its longest-running comedy show as _____________, keeping it in the schedule even as the humor it churns out is notoriously hit-or-miss.
The _____________ of criteria for determining what is meant by "balance" and whether it is beneficial makes it difficult to evaluate claims that probiotics promote a healthy balance of microorganisms in the body.
The tools of science are so specialized that we accept them as a kind of _____________ machinery for producing knowledge: we know that they work, but cannot explain why.

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