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2021年GRE数学新170难题
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题目内容
The figure shows the design of a mosaic tile in which the four sides of the square are the diameters of four intersecting semicircles. Small blue stones are to be placed in the shaded regions and will cover 95 percent of the area of these regions. If each side of the square has length 2 feet, approximately how many square feet of the tile will be covered by the blue stones?
A certain benefits and incentives package consists of 2 benefits to be chosen from the benefits offered by more than $$\frac{1}{2}$$ of all the companies surveyed and 1 incentive to be chosen from the incentives offered by more than $$\frac{1}{3}$$ of all the companies surveyed. How many such packages are possible?
The ratio of the number of companies offering both a stock-options incentive and one of the benefits listed to the number of companies offering that benefit is greatest for which of the five benefits?
A box at a yard sale contains 3 different china dinner sets, each consisting of 5 plates. A customer will randomly select 2 plates to check for defects. What is the probability that the 2 plates selected will be from the same dinner set?
On a certain map, 1 centimeter represents 5 kilometers. On the map, region X has an area of 6.4 square centimeters.
Quantity A
The actual area of region X
Quantity B
150 square kilometers
Which of the following is most nearly equal to $$\frac{2.5*10^{6}}{2.5*10^{6} - 3.5*10^{-6}}$$?
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