【GRE考满分题库检索】GRE 题目搜索_等价和填空_阅读和逻辑_数学真题

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题目列表

题目内容
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 $$(9✸ (-9))+((-9) ✸9)$$?
Two shaded square regions, including their edges, are shown above in the xy -plane and are labeled I and II, respectively. $$S$$ is the set of all possible slopes of line segments $$PQ$$, where point $$P$$ is in region I and point $$Q$$ is in region II. Quantity A The greatest member of set $$S$$ Quantity B $$\frac{4}{3}$$
In the rectangular coordinate system, point (x,y) is equidistant from points (3,3) and (7,3). Quantity A y Quantity B 3
The function f is defined for all numbers x by f(x)=57$$x^{2}$$-kx+925, where k is a constant, and f(x)=f(-x) for all x. Quantity A k Quantity B 0
Quantity A The length of line segment AB Quantity B The length of line segment DC
Polygon P has n sides (n>4). Quantity A 180 more than the sum of the degree measures of the interior angles of P Quantity B The sum of the degree measures of the interior angles of a polygon with n+1 sides
Square ABCD and parallelogram AEFD lie in the same plane, and AB=AE. Quantity A The area of region ABCD Quantity B The area of region AEFD
The figure represents a flat rectangular plot of land that consists of a rectangular parking lot and a surrounding sidewalk of uniform width. If the area of the parking lot is $$\frac{3}{5}$$ of the area of the entire plot of land, what is the width, in feet, of the sidewalk?
The circumference of a certain circular region is y. Quantity A The area of the circular region Quantity B $$\frac{y^{2}}{4}$$
The figure shows a wooden toy wheel made by removing a smaller right circular cylinder from a larger right circular cylinder so that the cylinders are centered around the same axis. Line segments BC and AD are diameters of the smaller and larger cylinders, respectively, and line segment EF represents the width of both cylinders. The lengths, in centimeters, of BC, AD, and EF are 3, 7, and 2, respectively. Approximately what is the volume, in cubic centimeters, of the wood contained in the finished wheel?
The average (arithmetic mean) of the first n positive integers is 17. Quantity A n Quantity B 33
For a group of 9 steel beams stored together, the average (arithmetic mean) length of the beams is 7.2 meters and the median length is 8.4 meters. Two additional steel beams-one that is longer than all 9 beams and one that is shorter than all 9 beams-will be stored with the 9 beams. For the combined group of 11 steel beams, the average length is m meters and the median length is d meters. Which of the following statements must be true? Indicate all such statements.
R={3, 4, 7, 9} T={2, 5, 8} If a number r is to be chosen from set R and a number t is to be chosen from set T. what is the range of all possible values of $$\frac{t}{r}$$?
The table shows the means and ranges of two data sets, X and Y, each containing the same number of measurements. Quantity A The standard deviation of data set X Quantity B The standard deviation of data set Y
The figure above shows a normal distribution with mean m and standard deviation d, including approximate percents of the distribution corresponding to the six regions shown. The lengths of phone calls made on a certain weekend by students at High School H are approximately normally distributed with a mean of 30 minutes and a standard deviation of 10 minutes. Which of the following statements must be true? Indicate all such statements.
A team of two students from an art school is to be selected to represent the school at a national event. The two students will be selected from the students in three classes that have no students in common. The three classes have 10 students, 8 students, and 7 students. If the two students must be selected from different classes, how many teams are possible?
If an integer is chosen at random from the integers between 101 and 550, inclusive, what is the probability that the chosen integer will begin with the digit 1, 2 or 3, and end with the digit 4, 5, or 6?
An artist has 3 hooks on the wall and 5 different pictures. How many different arrangements of 3 pictures can be formed if the artist puts one of the 5 pictures on each hook?
The vehicles of Company W are numbered consecutively from 1 to 650. The vehicles with a number that ends with one of the digits 1, 2, 3, 4, or 5 are used by Division 1. Vehicles with a number between 130 and 389, inclusive, are trucks. What percent of the company vehicles are trucks used by Division 1?
A certain spacecraft has 2 separate computer systems, X and Y, each of which functions independently of the other. The probabilities that systems X and Y will function correctly at liftoff are 0.90 and 0.99, respectively. What is the probability that at least one system will function correctly at liftoff?