GRE考满分·题库

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题目内容
Which of the following, if true, most helps to explain the apparent discrepancy?
The author mentions "other resources" primarily in order to
n is an integer greater than 10.

Quantity A

The sum of the reciprocals of the first 2n positive integers

Quantity B

1 more than the sum of the reciprocals of the first n positive integers
Darrell has a collection of 40 DVDs, each of which contains one movie. There are 17 comedy movies, 14 fantasy movies, and 9 historical movies, where each historical movie takes place in a separate time period. The movies will be ordered on a shelf from left to right so that the movies of each type comedy, fantasy and historical are in a single group of consecutive movies. In addition, the historical movies will be ordered from earliest time period to latest time period. How many possible orderings of the movies are there?
A rectangular piece of sheet metal has a width of w centimeters, where w ≥ 30. The length of the sheet metal is 3.5 times its width. If squares with sides of length 10 centimeters are removed from each corner of the sheet metal and the sides are folded up to make an open box, what is the volume of the box?
What is the least integer that can be expressed as a product of four different integers, each of which has a value between -5 and 4, inclusive?
During the 1950s and 1960s, theory-minded neoclassical economists came to (i)______ the field of labor economics, pushing their more fact-oriented colleagues to the margins. In more recent years, the theorists have become interested in just the sort of (ii)_______ issues they once associated with other economists and whose study they once (iii)_______.
If x is a positive integer and x > 5, which of the following could be the units digit of $$19^{x}$$?

Indicate all such digits.


In the figure shown, the area of the circular region is approximately 50 percent of the area of the shaded region. The area of the rectangular region is approximately what percent of the area of the circular region?
The total annual per capita consumption of ice cream and cheese combined in 1950 was approximately what percent of that in 1990 ?
For 1970, which of the following is closest to the ratio of the annual per capita consumption of fresh vegetables to that of ice cream?
15,000 is divisible by $$25a^{k}b^{2}$$, where a and b are prime numbers, a ≠ b, and k is a positive integer.

Quantity A

The greatest possible value of k

Quantity B

3
Of the paperbacks in a private library, 5 percent are biographies. If 3 percent of all the books in the library are paperbacks that are biographies, what percecnt of all the books in the library are paperbacks?
How many different positive 7-digit integers begin with 555 and end with 22?
A cube has its faces numbered from 1 to 6. The cube is weighted in such a way that when it is rolled, the probability that X will appear on the top face is equal to $$\frac{k}{X}$$, where k is a constant. What is the value of k?
What is the units digit of ($$4^{32}$$ - $$3^{32}$$)?
As a result of a chemical reaction between compounds A and B. $$\frac{1}{4}$$ of each compound was transformed into an equal amount of the other compound, while the remaining $$\frac{3}{4}$$ of each compound was not transformed. If the amount of B was initially 4 times the amount of A. what was the ratio of the amount of A to the amount of B after the reaction?
The passage suggests that Taruskin would probably agree with which of the following criticisms regarding the partisans of the early music movement?
Consider all the permutations of the letters in the word $$MISSISSIPPI$$, where $$I$$ is a vowel and the other letters are consonants.



Quantity A

The number of permutations in which all the vowels are next to each other

Quantity B

The number of permutations in which all the consonants are next to each other


Each morning Betty walks from intersection P to intersection R, always walking along streets shown in the figure above and always going east or north. If she varies her walks as much as possible, taking every different path in turn before repeating the sequence of paths, on how many mornings in 48 consecutive mornings will Betty walk through intersection Q?

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