GRE考满分·题库

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题目内容
The speed of light is $$3·10^{8}$$ meters per second, rounded to the nearest $$10^{8}$$ meters per second. A "light-hour" is the distance that light travels in an hour.



Quantity A

The number of kilometers in a light-hour

Quantity B

$$10^{10}$$
It costs d dollars to buy t thumbtacks. At this rate, what is the cost of t+2,500 thumbtacks, in dollars?
One day in 1997 at a gas station in the United States near the border of Canada, gasoline was selling for $1.20 per gallon (United States dollars). On that day, 1 United States dollar could be exchanged for 1.25 Canadian dollars. If gasoline was being sold at an equivalent rate at a gas station across the border in Canada, which of the following calculations gives an approximate price, in Canadian dollars, for a liter of gasoline at the Canadian gas station that day? (1 gallon is approximately 3.785 liters.)
Machine A and machine B, working simultaneously and independently at their respective constant rates, processed $$\frac{3}{4}$$ of the shipment of a certain product in 4.5 hours. Then machine A, working alone at its constant rate, processed the rest of the shipment in 6 hours. How many hours would it have taken machine B, working alone at its constant rate, to process the entire shipment of the product?

_____hours
Three printers, $$X_1$$, $$X_2$$ and $$X_3$$, work only at their respective constant rates. Working together,$$X_1$$, $$X_2$$ and $$X_3$$ can complete a certain job in 9 hours; working together, $$X_2$$ and $$X_3$$ can complete the same job in 12 hours. Working alone, how many hours will it take $$X_1$$ to complete the job?
Two water faucets are used to fill a certain tank. Running individually at their respective constant rates, these faucets fill the empty tank in 12 minutes and 20 minutes, respectively. If no water leaves the tank, how many minutes will it take for both faucets running simultaneously at their respective rates to fill the empty tank?

Give your answer as a decimal.
An empty water storage tank can be filled using two pumps, A and B. Pump A, working alone at its constant rate, takes x minutes to fill the tank. Pump B, working alone at its constant rate takes $$\frac{5}{4}$$ times as long as pump A to fill the tank. If it takes y minutes for pumps A and B, working simultaneously at their respective constant rates, to fill the tank, what is the ratio of x to y?

Give your answer as a fraction.
An escalator installed at a new shopping mall operates at a speed of 90 feet per minute. The handrail of the escalator operates on a separate motor at a speed of 93 feet per minute. A person steps onto the escalator and, at the same time, grabs the handrail. Assuming that the person's hand and shoes do not move on the escalator in how many seconds will the person's hand have moved 0.25 foot more than the person's shoes?

_____seconds
In region A, 17 percent of the acres that are planted with corn are planted with a certain hybrid seed. In region B, which borders region A, 11 percent of the acres that are planted with corn are planted with the same hybrid seed.

Quantity A

Of all the acres planted with corn in region A and region B combined, the percent of acres that are planted with the hybrid seed

Quantity B

14%
A certain charity is conducting a fund-raiser. For the first $9,000 raised by the charity, Company B will contribute $1 for every $3 collected by the charity. For any amount over $9,000 raised by the charity, Company B will contribute $2 for every $5 collected by the charity. How much money must the charity raise in order to reach a total of $68,000, including the contribution from Company B?
If someone puts away $1,000 in a bank with an annual simple interest rate of 3%, then at least by how many years will the account exceed $1,200?

_____years
$3,000 is the initial amount placed in an account and the interest compounds monthly, and the total value is $3,090 at the end of the first month. At the end of the second month, what fraction of the total interest of the two months is the interest of the second month?

Give your answer as a fraction.
x ≠ 0

$$(a+\frac{1}{a})^{2}$$=5

Quantity A

$$a^{2}$$+$$(\frac{1}{a})^{2}$$

Quantity B

3
Among people A, B and C, B is 5 years older than A, while B is 20 years older than C.

Quantity A

A

Quantity B

2C
$$\frac{x^{\frac{25}{2}}*x^{2}}{x^{n}}$$=$$x^{100}$$

n=?

Give your answer as a decimal.
Which of the following is the best estimate of $$\frac{(16.8)(10^{3})}{(0.51)(10^{-11})}$$?
Which of the following is equal to an integer raised to the third power?
x, n and k are all integers, 0 < x < $$10^{7}$$, x=$$n^{k}$$

If the units digit of x is 5, and x could be transformed into both the square of an integer and the cube of an integer, then x must be?
If 5$$\sqrt{t}$$=9, then $$\sqrt{t}$$-t=?

Give your answer as a fraction.
The cubic root of which of the following number is $$\sqrt[3]{3}$$+$$\sqrt[3]{192}$$+$$\sqrt[3]{375}$$?

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