GRE考满分·题库

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题目内容
A saltwater solution contains $$25$$ percent salt by weight. To $$1$$ kilogram of this solution, $$x$$ grams of salt and $$4x$$ grams of water are added , where $$x \gt 0$$.

Quantity A

The percent of salt in the resulting solution

Quantity B

$$25%$$
The function f is defined by f(x) = 2x – 1 for all numbers x. If the function g is given by g(x) = 3 * f(2x - 1) + 2 for all numbers x, what is the value of g(2)?

g(2)=_____


Which of the following shaded regions represents the set of all points $$(a, b)$$ in the xy-plane above such that $$(a+1, b+1)$$ is in quadrant Ⅰ? (Note that a point lies on axis is not in any quadrant)
If the degree measures of the three angles of a triangle are consecutive even integers, what is the measure of the smallest angle of the triangle?

_____degrees


In the figure, AC=15 and BC=12. If f+g=90, then the area of the triangular region is ?


The area of square region ABIH equals the area of square region JDEF. Quadrilateral BJFI is a parallelogram. The area of squared region ACEG is 9 times the area of square region ABIH.

Quantity A

The area of ABIH

Quantity B

The area of BJFI
In the xy-plane, if three of the vertices of a parallelogram have coordinates (2, -1), (1, 2), and (5, 1), which of the following could be the coordinates of the fourth vertex?

Indicate all such coordinates
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?
The playing times of the 13 songs on a compact disc were measured. The average (arithmetic mean) playing time of the songs is 3.6 minutes, and the median playing time is 3.4 minutes. Which of the following statements must be true?

Indicateall such statements.
Larry and Tony work for different companies. Larry`s salary is the $$90^{th}$$ percentile of the salaries in his company, and Tony`s salary is the $$70^{th}$$ percentile of the salaries in his company.

Which of the following statements individually provide(s) sufficient additional information to conclude that Larry`s salary is higher than Tony`s salary?

Indicate all such statements.


According to the table, the percent of households in 1980 with neither a microwave oven nor a central air conditioner must be in which of the following inclusive intervals?
For private fossil collectors, a fossil`s value is (i)________ the object itself. For scientists, however, the value of a fossil is usually (ii)________. Most paleontological research focuses not only on the fossil itself, but also on the fossil`s location, the kind of rock it was found in, its position in the historical sequence, and how the fossil is positioned relative to other fossils.
In a 1931 article, Duke Ellington suggested that jazz had _________ aspect: "What we could not say openly, we expressed in music, and what we know as `jazz` is something more than just dance music."
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.
According to one view, works of literary fiction should faithfully reflect social reality, and adherents to this view tend to assume that social reality has only one face: a damaged and dysfunctional one. This view has had less impact on the musical arts, however. Composers are free to write music that is (i)____________ without being condemned for their (ii)____________. Yet writers, by contrast, are expected to (iii)____________ if they wish to be taken seriously.
While the rate at which absolute global sea level is rising may seem ___________, it has been far from an incidental factor in human history.
Writing accessories such as letter openers, pen trays, and memorandum pads became tremendously popular during the Victorian era, and by far the most ubiquitous of such _____________ was the letter box.
Whereas the original editor had sacrificed clarity for brevity and her successor had been too _____________, the new editor took an intermediate approach, explicit as to the purport of each document and not too ambitious in detail.
Tender yet never ________, the memoir engages the reader without resorting to cliches.
To write convincing fiction about the tedium of ordinary life may be one of the hardest challenges facing a novelist, who must find a way to engage the reader despite a focus on _____________ events.

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