GRE考满分·题库

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题目内容
There is a rectangular box with dimension 20 inches * 5 inches * 6 inches, the mass of the box is 17 kilograms, which of the following is closest to the density of the box in kilograms per cubic feet?

(note: density=mass/volume, 1 feet = 12 inches)
Two boxes R and S are of the same volume. They are both without top. R is a cube, while S has a base of a square. The height of the S is 8 times higher than the length. If the unit cost of each box is the same and the total cost for R is $6.00, what is the total cost for S?
A rectangular solid box has a height, width and length ratio of 1:2:3 and a volume of 750. What is the height of the box?
A certain type of storage container is in the shape of a rectangular solid that is 6 meters long, 2 meters wide, and 2.5 meters high. In a container ship, 12 of these storage containers were stacked together face to face to form a large rectangular block that is 12 meters long, 6 meters wide, and 5 meters high. The total surface area of all the container faces that are against other faces is approximately what percent of the surface area of the entire container stack?


X=The ratio of the area of the triangle ABC to the surface area of the entire cube

Quantity A

X

Quantity B

$$\frac{1}{6}$$
The larger of two right circular cylindrical containers has an inside radius of 3 inches, and the smaller has an inside radius of 1.5 inches; each of the containers has an inside height of 10 inches. If the smaller container were filled with water until the depth of the water was 9 inches, and then its water were poured into the empty larger container, what would be the depth of the water, in inches, in the larger container?
The volume of a cylinder is 54π and the height is 6. What is the circumference of the bottom of the cylinder?
A right circular cylinder with a volume of 16π is inscribed in a cube. What is the volume of the cube?


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 figure shows a right circular cone, where A is the center of the circular base. If the measure of angle ACB is 30°and the length of line segment BC is 2, what is the volume of the cone? (The volume of a right circular cone is one-third of the product of the height of the cone and the area of the circular base.)

Give your answer to the nearest whole number.


The volume V of the frustum of a right circular cone is given by V=($$\frac{πh}{3}$$)($$R^{2}$$+Rr+$$r^{2}$$), where h is the height of the frustum, R is the radius of its lower base, and r is the radius of its upper base, as shown. If the volume of the frustum of a right circular cone is 148π, its height is 12, and the radius of its upper base is 3, what is the radius of the lower base of the frustum?


Earth total surface area = 196,900,000 mi²

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.

_____ %
In a survey of 1200 respondents over their preference over Republican Party or Democratic Party, nor neither on a series of issues, the result is shown as follows.
What is the range of the number of voters in favor of Republican Party on different issues?
By how many percent are respondents more in favor of Republican Party than Democratic Party on Environment issues?

Give your answer to the nearest whole percent.

_____%
If 180 respondents are in favor of Republican Party on both Health Care issue and Tax issue, then how many percent of respondents are in favor of parties other than Republican Party on either of these two issues?

_____%

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