【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
In the above figure, ABCD, OAPD, OBQC are all squares, and the radius of the circle O is 1. Quantity A The length of the semicircle PQ Quantity B The sum of lengths of line segments PD, DC and CQ
An organization offers only three types of annual memberships. Basic memberships cost $50 each, standard memberships cost $70 each, and premium memberships cost $100 each. Last year, a total of 200 memberships were purchased at an average arithmetic mean) cost of $80 per membership. Which of the following statements individually provide(s) sufficient additional information to determine the number of premium memberships purchased last year? Indicate all such statements
k+$$\frac{1}{k}$$=3 Quantity A k+$$\frac{1}{k^{2}}$$ Quantity B $$k^{2}$$+$$\frac{1}{k^{3}}$$
$$y=x^{2}+2x-35$$ can be transformed into $$y=(x+m)(x-n)$$ where $$m$$ and $$n$$ are both integers. Quantity A $$m$$ Quantity B $$n$$
What is the product of the two solutions of the equation $$3x^{2}+17x+10=0$$?
The function f is defined by f(x) =$$x^{2}$$-18x+56 for all numbers x. If r and t are two different numbers such that f(r) = f(t) = 0. What is the value of $$\frac{r+t}{2}$$?
In the xy-plane, the point (3p, 5p-1) lies on the line with equation y=-$$\frac{1}{2}$$x-$$\frac{5}{3}$$. What is the value of p? Give your answer as a fraction.
A hexagon with sides of equal length and interior angles of equal measure is inscribed in a circle. If the perimeter of the hexagon is 12, what is the perimeter of an equilateral triangle inscribed in the same circle?
The figure above shows the interior of a propane tank in the shape of a right circular cylinder with a hemisphere at each end. The diameter of the cylinder is 60 centimeters, and the total length of the interior of the tank is 210 centimeters. The tank is filled with propane to 80 percent of its capacity. If the cost of the propane is $0.60 per liter, approximately what is the cost of the propane in the tank? (Note: 1 liter=1,000 cubic centimeters. The volume of a sphere of radius r is $$\frac{4}{3}πr^{3}$$.)
AD=4(DC) Quantity A The ratio of the area of triangle ABD to the area of the triangle ABC Quantity B $$\frac{3}{4}$$
Quantity A $$2^{(3^{3})}$$ Quantity B $$(2^{3})^{(2^{3})}$$
If xy ≠ 0, which of the following is equivalent to $$y^{-1}=3x^{-1}$$?
A large museum window is composed of 14 identical equilateral triangular glass sections, as represented in the figure shown. If the total area of the window is 19 square meters, which of the following is closest to the perimeter, in meters, of the window?
Points A, B, and C are on a circle, and line segment AC is a diameter of the circle. If the radius of the circle is 6, by how much does the length of arc ABC exceed the length of diameter AC? Give your answer to the nearest integer.
If a sphere is inscribed in a cube, what is the ratio of their volumes (sphere to cube)?
If a cube is inscribed in a sphere whose volume is 36π, what is the volume of the cube?
The recreation director at a local youth club surveyed the members to determine interest in two activities-a hiking trip and a softball game. Of the members surveyed, 60 percent were interested in the hiking trip and 75 percent were interested in the softball game. Of those who were interested in the softball game, $$\frac{2}{3}$$ were also interested in the hiking trip. What percent of the members surveyed were not interested in either of the two activities?
What`s the percentage of water on Earth? _____ %
Of all waters, ocean takes up about 97% of Earth`s water, what`s the area of Pacific Ocean? Give your answer to the nearest whole million. _____ million ($$mi^{2}$$)
Lake Pontcnartrain has area 2,967,000 (m$$i^{2}$$), what percentage is it compared to of the Pacific Ocean? Give your answer to the nearest 0.1 percent. _____ %