GRE考满分·题库

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题目内容
A circle is inscribed in a regular octagon. If the perimeter of the octagon is 16, what is the circumference of the circle?
On a 60-question true-false test, Marcy answered correctly all questions she understood, and she guessed randomly on all questions she did not understand. She answered 52 questions correctly on the test. How many questions did Marcy most likely understand?


The figure shows a black and white square tile from a ballroom floor. Both of the black sections are squares, and x > y.

Quantity A

The ratio of the sum of the areas of the black sections to the sum of the areas of the white sections

Quantity B

$$\frac{x}{y}$$
On the number line, which of the following represents the solution set of the inequality $$x^{2}- 5x+6 ≤ 0$$?
Machines A and B each assembled 3,000 metal clips in 15 hours and 12 hours, respectively, working alone at their constant rates. On Monday, working simultaneously at their respective constant rates, the two machines assembled a total of n clips in x hours. The next day, machine A was modified so that its constant rate decreased by 25 percent. If the two machines worked simultaneously at their respective constant rates for x hours after the modification of machine A, then the total number of clips that they assembled in x hours was approximately what percent less than it was the day before?


A banner is to be designed to have 3 regions of solid color, as shown. Colors can be repeated, but no 2 adjacent regions can have the same color. How many different designs are possible if the colors are chosen from blue, green, red, white, and yellow?
An order for bottles of vitamins from a certain mail order company costs $12.04 per bottle plus a shipping cost of $4.80 regardless of the number of bottles ordered. Over the past year, the company has received 100 orders for bottles of vitamins. The standard deviation of the numbers of bottles per order for the 100 orders is 1.5 bottles. What is the standard deviation of the 100 costs for the orders?

_____$
S is an integer that is greater than 2.

Quantity A

The average (arithmetic mean) of $$\frac{1}{S^{2}}$$, $$\frac{1}{S}$$, $$S$$, and $$S^{2}$$

Quantity B

$$2S$$
Which of the following double inequalities involving $$\sqrt[3]{0.8}$$ is true?
A college professor took attendance for the first 10 days of a class last semester. The professor noticed that Sarah attended class on 8 of those days, Andrew attended class on 7 of those days, Jeff attended class on 6 of those days, and on only 1 of those days did all three students attend class. On how many of the 10 days did at least two of the three students attend class?

_____days

Quantity A

The remainder when 754,975,376 is divided by 4

Quantity B

The remainder when 701,864,294 is divided by 4
Evelyn owns two different properties with areas of 1.5 acres and 0.5 acre, respectively. What is the total area, in square feet, of the two properties combined? (1 acre = 4,840 square yards, 1 yard = 3 feet)

_____ square feet
List K consists of 9 positive integers. In list K, the range of the integers is 20, the mode of the integers is 3, and the median of the integers is 7.

Quantity A

The average (arithmetic mean) of the integers in list K

Quantity B

13
The standard deviation of m numerical data $$ x_{1}, x_{2}, x_{3}, ..., x_{n}$$, With mean $$\bar{x}$$ is equal to $$\sqrt{\frac{S}{n}}$$, where S is the sum of the squared differences $$(x_{i}-\tilde{x})^{2}$$, for 1 ≤ i ≤ n.

On a certain examination, 7 students received scores of 85, 90, 70, 90, 75, 90, and 95. For the 7 scores, the mode was approximately how many standard deviations above the mean?
A traveler purchased a gift item at a store in Country D, paying only the cost of the item with no taxes or other charges. The traveler paid with 100 United States dollars and received back the correct change in the amount of 203 units of Country D's currency, based on the currency exchange rate that day.

Which of the following statements individually provide(s) sufficient additional information to determine the cost of the item, in United States dollars?

Indicate all such statements.
The median of the numbers in a list of consecutive positive multiples of 1.2 is 25.8. What is the greatest possible number in the list?
If a < b, which of the following must be true?
The probability that each toss of a certain coin will result in heads is $$0.5$$. If the probability that $$n$$ tosses of the coin will each result in heads is greater than $$0.0002$$, what is the greatest possible value of $$n$$?
x, y, and z are negative numbers.

Quantity A

x+y+z

Quantity B

$$\frac{1}{x+y+z}$$
In the xy-plane, line k has a positive slope and intersects the line y=4-x at a point with x-coordinate 3. Which of the following values could be the y-intercept of k?

Indicate all such values.

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