【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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题目内容
Every positive integer can be represented uniquely in base 9 by $$(c_n......c_2 c_1 c_0)_9$$= $$c_n(9^{n})+......c_2(9^{2})+c_1(9^{1})+c_0(9^{0})$$ for some nonnegative integer $$n$$, where the coefficient $$c_i$$ of $$9^{i}$$ is one of the digits from 0 to 9 for $$0 ≤ i ≤ n$$, but $$c_n ≠ 0$$. For example, $$163=(201)_9$$ because $$163= 2(9^{2})+0(9^{1})+1(9^{0})$$. Which of the following is equal to the product of the three integers $$(12)_9, (13)_9$$, and $$(14)_9$$ ?
Nancy invested $5,000 for x years at an annual interest rate of 6 percent, compounded annually. David invested $6,000 for y years at an annual interest rate of 6 percent, compounded semiannually. Quantity A The total amount of interest that Nancy`s investment earned Quantity B The total amount of interest that David`s investment earned

Suppose there are 20 monkeys and they all have some number of chestnuts. If in average they have 88 chestnuts per monkey and only one of them has less than 60. If every monkey has an integer number of chestnuts and they all have different number of nuts. Then how many chestnuts does the monkey who has tenth most chestnuts have at least if given none of them has more than 100 chestnuts?
In how many ways can Ann, Bob, Chuck, Don and Ed be seated in a row such that Ann and Bob are not seated next to each other?
For how many of the types of transportation in the graphs was the number of ton-miles transported in 1991 more than 4 times the number transported in 1941?
If the total number of ton-miles that were transported increased at a constant rate from 1941 to 1991 approximately what was the total number of ton-miles that were transported in 1986?
From 1941 to 1991, approximately what was the percent increase in the number of ton-miles transported by railway?
Which of the following best represents the graph of y = \|x\| + x in the xy-plane?
A certain rectangle has perimeter 60. Quantity A The length of a diagonal of the rectangle Quantity B 20
If a > 1, which of the following could be the value of $$(1+\frac{1}{a})^{-1}$$? Indicate all such values.
$$0 < a < b < c$$ Quantity A The standard deviation of the seven numbers $$-c, -b, -a, 0, a, b, c$$ Quantity B The standard deviation of the seven numbers $$-c^{2}, -b^{2}, -a^{2}, 0, a^{2}, b^{2}, c^{2}$$
Quantity A The standard deviation of data set Ⅰ Quantity B The standard deviation of data set Ⅱ
For which of the following can it be concluded that (0, 1)?
N=xyzwt-(x+y+z+w+t) If N is an even integer and x, y, z, w,and t are integers, which of the following CANNOT be the number of the five integers x, y, z, w, and t that are even?
Let S be the set of integers from 1 to 10. How many subsets of S contain at least one even integer and at least one odd integer?
Square ABCD has sides of length 1. Arc AC is an arc of the circle of radius 1 centered at B. Arc BD is an arc of the circle of radius 1 centered at A. These arcs divide the square into four regions, $$S_1, S_2, S_3$$, and $$S_4$$. Quantity A The area of region $$S_1$$ minus the area of region $$S_3$$ Quantity B $$\frac{π}{2}$$ -1
The circle shown has center O, and arc EPF is a semicircle. Quadrilateral EAOD, ABCD, and OBFC are squares, and the length of each side of ABCD is 1. What is the perimeter of region EPFCD?
For each of 20 brands of protein bars, the number of grams of protein per bar was rounded to the nearest gram and recorded. The histogram shows the frequency distribution of the recorded numbers of grams of protein per bar for the 20 brands, where each interval shown includes its left endpoint and excludes its right endpoint. Based on the histogram, which of the following could be the average (arithmetic mean) and the median, respectively, of the recorded numbers of grams of protein per bar for the 20 brands?