GRE考满分·题库

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题目列表

题目内容
If$$ $$a, $$b$$, and $$c$$ are positive integers such that $$\frac{a}{c}=0.075$$, and $$\frac{b}{c}=0.09$$, What is the least possible value of $$c$$?
In a certain state, 60 percent of the eligible voters are registered to vote and 48 percent of the eligible voters in that state voted in a recent election. If only registered voters are permitted to vote, what percent of the registered voters in the state voted in the election?
Last year the value of one share of a certain stock increased by 10 percent from January to June, and the value of one share of the stock increased by 50 percent from January to December. What was the percent increase in the value of one share of the stock from June to December of last year?

Give your answer to the nearest whole percent.

_____%
For each of the years 1993 and 1994, the population of City M increased by 20 percent during the year. If the population was 280,000 on December 31, 1994, approximately what was the population on January 1, 1993?
A large pump and a small pump are available to fill a public fountain with 7,500 gallons of water. The pumps can be used alone or simultaneously. Working alone at their respective constant rates, the small pump would take 1.6 times as long as the large pump to fill the fountain. Working simultaneously at their respective constant rates, the two pumps would take 3 hours to fill the fountain. How long would the small pump take to fill the fountain, working alone at its constant rate?

_____hours
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
Which of the following values is the largest?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
The operation is defined by x✸y=$$\frac{x^{2}}{y}$$+$$\frac{x}{y}$$ for all numbers $$x$$ and $$y$$, where $$y \neq 0$$. What is the value of $$(9✸ (-9))+((-9) ✸9)$$?


Square BDFG is inscribed in isosceles triangle ACE. If the area of triangular region ACE is 1, what is the area of triangular region BCD?
In the circle below, the center lies in point O, and AOB is a right-angled isosceles triangle.



Quantity A

The area of the triangular region AOB

Quantity B

Twice the area of the shaded area


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
For how many of the five vehicle types is the number of silver vehicles less than 20 percent of the total number of vehicles of that type?
The average (arithmetic mean) of 20 numbers is 53. When one of the numbers is discarded, the average (arithmetic mean) of the remaining numbers is 54.

Quantity A

The discarded number

Quantity B

50


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.
Fred`s suitcase contains 4 shirts, 3 pair of pants, and 2 pair of shoes. A matching outfit consists of any shirts, any pair of pants, and any pair of shoes, except that one of the shirts does not match one of the pairs of pants. How many matching outfits can be selected from Fred`s suitcase?
Three numbers are to be selected at random and without replacement from the five numbers 4, 5, 7, 8 and 11. What is the probability that the three numbers selected could be the lengths of the sides of a triangle?
An affinity for (i)___________ is a characteristic of Bynum`s work and of her rhetorical strategy as a historian, and it is often both refreshing and illuminating. But this predilection for (ii)___________ can be vexing, too, by appearing to eschew necessary distinctions.
Meteorology is one of the few fields of applied science that demands prediction; since prediction involves considerable uncertainty and uncertainty is _____________ scientists, meteorology will continue to exist in a fraught intellectual space.
El Greco was one of the most fervent of painters, to the extreme of mania, while Velazquez, by contrast, was one of the most ______________.

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