GRE考满分·题库

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题目内容
Of the 1,200 seniors at a certain college, one-quarter live on campus and the rest live off campus. Three-quarters of the seniors at the college own a car. Which of the following statements must be true?
The estimated number of on-line shoppers for 1996 is approximately what percent of the estimated number for 2001?


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?

_____$
Which of the following points lies between the y-intercepts of the two lines 3x+2y = 3 and x- 2y=-1?
The random variable Y is normally distributed with a mean of 50 and a standard deviation of 5.4.

Quantity A

The probability that Y is between 44.6 and 48.2

Quantity B

The probability that Y is between 55.4 and 59.0
A certain data set consists of n values, and the mean of the values is positive. If an additional value equal to 70 percent of the mean is included in the data set to create a new data set, then the mean of the values in the new data set will be 2 percent less than the mean of the values in the original data set. What is the value of n?
If a triangle and a square have exactly n points in common, which of the following CANNOT be the value of n?


Quantity A

r

Quantity B

12
The average (arithmetic mean) of the 4 integers q, r, s and t is 0.

Quantity A

The average of the 4 integers q+10, r, s and t

Quantity B

The average of the 5 integers q, r, s, t, and 10
In the xy-plane, the graph of an equation is symmetric with respect to the y-axis if for every point (a, b) on the graph, the point (-a, b) is also on the graph. Which of the following equations have a graph in the xy-plane that is symmetric with respect to the y-axis?

Indicate ALL such equations.
A point p is to be selected at random inside a square whose sides have length 3. What is the probability that the circle whose center is at p and whose radius is $$\frac{1}{2}$$ will not intersect the square?


Points A, B, C, and D are equally spaced on line segment AD, as shown. If $$\frac{1}{3}$$ of segment AB, all of segment BC, and $$\frac{2}{5}$$of segment CD were removed, what fraction of segment AD would remain?
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
Two balls are to be randomly selected from a bag, one at a time and without replacement. The probability that the first ball selected will be red is $$\frac{5}{8}$$. If the first ball selected is not red, the probability that the second ball selected will be red is $$\frac{2}{3}$$. What is the probability that the first or the second ball selected will be red (that is, one red ball either in the first attempt, or in the second attempt, but not both)?

Give your answer as a $$\underline{fraction}$$.


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?
One cup of a certain type of yogurt contains 9 grams of protein, which is equal to x percent of the recommended daily consumption of protein. How many grams is the recommended daily consumption of protein in terms of x?
What is the least positive integer n for which $$\frac{n}{2}$$, $$\frac{n}{3}$$, $$\frac{n}{4}$$, $$\frac{n}{5}$$, $$\frac{n}{6}$$, $$\frac{n}{8}$$ and $$\frac{n}{9}$$ are integers?
List S: 21, 22, 23, 25, 27, 32

List T: 221, 222, 223, 225, 227, 232

If the standard deviation of the numbers in list S is x, what is the standard deviation of the numbers in list T?
0 < a < b < c

a, b, and c are positive integers and the average (arithmetic mean) of a and c is 15. Which of the following could be the value of b?

Indicate all such values.

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