GRE考满分·题库

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题目内容
Three lamps had the same original price,but they were sold at different selling prices: A, B,and C.

Selling price A was obtained by applying a 75 percent discount to the original price.

Selling price B was obtained by applying a 50 percent discount to the original price and then applying a 25 percent discount to the discounted price.

Selling price C was obtained by applying a 60 percent discount to the original price and then applying a 15 percent discount to the discounted price.

Which of the following shows A,B,and C listed in order from least to greatest?
x,y, z, u, v, w, and t are seven nonzero integers. Which of the following values can be the number of these seven integers that are negative if xyz=uvwt?

Indicate all such values.
The function is defined by f(1)=3 and f(n+1)=f(n)+4 for all positive integers n. What is the value of f(251)?
The population of County J decreased from 4,370 to 3,980 during a 2-year period.

Quantity A

The percent decrease in the population of County J during the 2-year period

Quantity B

10%
x is a negative integer.

Quantity A

$$5^{-|x|}$$

Quantity B

1
The range of the numbers in list L is 36, and the least number in L is 20. The range of the numbers in list M is 18, and the greatest number in M is 32. List K consists of the numbers in L and the numbers in M.

Quantity A

The range of the numbers in K

Quantity B

42
k is a positive integer, and k+1 is divisible by 3.

Quantity A

The remainder when 7k+4 is divided by 3

Quantity B

1
The vertices of an octagon will be labeled with the letters A, B, C, D, E, F, G,and H, not necessarily in that order. If one vertexis labeled A, which of the following is equal to the number of possible orderings of the labels for the remaining vertices?


In the figure, polygon ABCDEF has 6 sides of equal length and 6 angles of equal measure. What is the value of x?
List A consists of the numbers 18, 19, 19, 19, and 20, and

List B consists of the numbers 11, 12-x, 12, 12+x, and 13, where x > 0.

Quantity A

The standard deviation of the numbers in list A

Quantity B

The standard deviation of the numbers in list B


The scores earned by 635 college students on an English test and a Spanish test are integers and are summarized in the boxplots shown above.For each student, the interaction score is defined to be the product of the scores that the student earned on the two tests. Which of the following statements must be true?
Sets P and Q each contain 50 numbers, and the greatest number in P is less than the least number in Q. The range of the numbers in P is x, and the range of thenumbers in Q is y. Set R is the union of sets P and Q.

Quantity A

The range of the numbers in R

Quantity B

x+y


Each of the thirteen marked points is either the center of one of the six circles or a point shared by two tangent circles. Each circle has a radius of r inches, and the rectangular region ABCD has a perimeter of x inches and an area of x square inches. What is the value of r?
The probability that event A occurs is between 0.8 and 0.9, and the probability that event B occurs is between 0.6 and 0.8. If events A and B are independent, which of the following values could be the probability of the event that both A and B occur?

Indicate all such values.
k is an odd positive integer.

Quantity A

The median of the first k even positive integers

Quantity B

The median of the first 2k+1 positive integers
There are 10 different books available to a librarian for purchase, each for the same price, but the librarian has only enough money to purchase 9 of them. How many different collections of 9 books are there that can be selected from the 10 books?
The unit price for tablecloths at a certain store is $0.015 per square inch. At this rate, what is the total price at the store for a tablecloth with an area of 20 square feet? (1 foot=12 inches)

$_____


Each of the shaded regions in the figure is a sector of a circle with radius 2.

Quantity A

The sum of the areas of the three shaded regions

Quantity B

4π
Nine integers are to be selected so that their product will be even.

Quantity A

The least possible number of the nine integers that can be even

Quantity B

2
The price of one share of stock in a certain company at the end of June last year was x dollars. At the end of July last year, the price was 10 percent greater than the price at the end of June last year, and at the end of August last year, the price was 10 percent greater than the price at the end of July last year. At the end of September last year, the price was 70 percent of the price at the end of August last year.

Quantity A

The price of one share of the stock at the end of September last year

Quantity B

0.9x dollars

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