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The chemical adenosine is released by brain cells when those cells are active. Adenosine then binds to more and more sites on cells in certain areas of the brain, as the total amount released gradually increases during wakefulness. During sleep, the number of sites to which adenosine is bound decreases. Some researchers have hypothesized that it is the cumulative binding of adenosine to a large number of sites that causes the onset of sleep.

Which of the following, if true, provides the most support for the researchers' hypothesis?

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Lawmaker: Raising taxes is not the only means of reducing government debt. The government's stockpile of helium is worth 25 percent more, at current market prices, than the debt accumulated in acquiring and storing it. Therefore, by selling the helium, the government can not only pay off that debt but reduce its overall debt as well.

Which of the following is an assumption on which the argument depends?

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People who have spent a lot of time in contact with animals often develop animal-induced allergies, some of them quite serious. In a survey of current employees in major zoos, about 30 percent had animal-induced allergies. Based on this sample, experts conclude that among members of the general population who have spent a similarly large amount of time in close contact with animals, the percentage with animal-induced allergies is not 30 percent but substantially more.

Which of the following, if true, provides the strongest grounds for the experts' conclusion?

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People who have spent a lot of time in contact with animals often develop animal-induced allergies, a significant percentage of which are quite serious. In a survey of current employees in major zoos, about 30 percent had animal-induced allergies. However, a zoo employee who develops a serious animal-induced allergy is very likely to switch to some other occupation.

Which of the following hypotheses receives the strongest support from the information given?

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In order to raise revenue, the federal government planned a tax amnesty program that allows tax delinquents to pay all owed tax without added financial penalty. However, economists projected that the federal government would collect a far lower percentage of total tax owed by delinquents than did state governments implementing similar programs.

Which of the following, if true, would most contribute to an explanation of the economists' projections?

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题目： Given that x $$\neq$$ 0, is $$\sqrt[3]{x}\gt\sqrt[5]{x}$$?Statement #1: x < 1Statement #2: x > –1

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题目： Is x < y ?(1) y =$$x^{-3}$$(2) x < 0

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题目： If$$\sqrt{k}$$ is not an integer, then is K a prime number?Statement #1: K < 10Statement #2: K < 5

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题目： If line k in the xy–coordinate plane has slope$$\frac {-3}{2}$$, does line k pass through the point (12, -13)?(1) The point (6, -2) lies on line k.(2) The point (2, 4) lies on line k.

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题目： What is the value of x?(1) w + y = 118(2) 2y - w = 56

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题目： A group of N students will be randomly seated in a row of N chairs. What is the probability that Beth, one of the students, will be at the extreme right-hand end of the row?Statement #1: N is an odd prime numberStatement #2: the probability that Steve, another one of the students, is at the extreme left-hand end of the row is$$\frac{1}{13}$$

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题目： Given that x $$\neq$$5, is $$x\gt{{1}\over({x-5})^2}?$$Statement #1: x > 0Statement #2: x > 10

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题目： What is the value of x?(1) $$\sqrt{x^4}=9$$(2) $$\sqrt{x^2}=-x$$

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Each year red-winged blackbirds stop in a certain region of Midland Province on their spring and fall migrations. In the fall, they eat a significant portion of the province's sunflower crop. This year Midland farmers sought permits to set out small amounts of poisoned rice during the blackbirds' spring stop in order to reduce the fall blackbird population. Some residents voiced concern that the rice could threaten certain species of rare migratory birds. Nevertheless, the wildlife agency approved the permits.

Which of the following, if true, most helps to justify the wildlife agency's approval of the permits, given the concerns voiced by some residents?

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A theory is either true or false. Galileo's observations of Jupiter's satellites showed that the Ptolemaic theory of the motion of celestial bodies is false. Therefore, since the Copernican theory of planetary motion is inconsistent with the Ptolemaic account, Galileo's observations of Jupiter's satellites proved the truth of the Copernican theory.

The argument above is open to the objection that it makes the questionable assumption that