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题目： How many integers x satisfy both $$2 A5 B4 C3 D2 E1

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题目： A soccer league is divided into a junior and a senior division, separated not by age but by a player's skill level. This year, to determine the division for which an aspirant is best qualified, the league held a week-long trial, after which coach A and coach B selected players. Coach A nominated sixteen of the forty players for the senior league. Amongst Coach B's nominations for the senior division were four players not nominated by Coach A. Therefore, there will be twenty players in the senior division.Which of the following, if true, provides the strongest basis for the conclusion above to be warranted?

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题目： A sports arena is considering a new stadium design, one in which each block of seats would be in an enclosed weather-proof room with a view of the playing field and a large screen TV showing the action of play, including the instant replays typical of television broadcasts of sports games. The developer reasons that exposure to elements and lack of access to instant replays significantly limits the typical spectator's enjoyment of the live game.This stadium design would be unlikely to increase the pleasure the spectators take from live games if they enjoyed

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题目： Economic analysts, noting the sharp increase in ADHD-related disability claims over the past decade, have posited an epidemic of ADHD among younger generations. These analysts, though, ignore advances in psychoanalytical classifications. ADHD is now listed as an official psychiatric disorder in the DSM-5, whereas those with ADHD were simply treated as undisciplined and irresponsible in the past. Therefore, a greater number of serious cases are recommended now for disability, because Human Resources workers are more likely to identify these behavior patterns as ADHD. Which of the following, if true, provides the most support for the argument?

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题目： President of the Smalltown Chamber of Commerce: In the past decade, the businesses in Smalltown have reported average profits of 15% above inflation. The mayor of Smalltown has explained this by citing decreased crime and a growing population, but he is incorrect. In reality, this increase in profitability is not due to these factors, but rather to the sharing of business acumen and market research that occurs at the monthly Chamber of Commerce meetings.Which of the following, if true, best supports the President of the Smalltown Chamber of Commerce's attribution of the increased profits to her organization's meetings?

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题目： A luxury apartment condo recently opened up along the Biltmore's waterfront. Within the first two months, 80% of the standard units in the first ten of the condo's twelve stories were sold. Nonetheless, only two of the eight penthouses, all of which are located in the top two stories of the building, have sold. In order to sell the remaining six penthouses, the corporation that owns the property, should drop the rate of the penthouses by 20%.Which of the following, if true, would argue against the proposal above?

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题目： A table made entirely from the trunk of a tree said to have lived a thousand years was recently claimed to be that of a much younger tree. In order to rebut this charge, the craftsman summoned a team of dendrochronologists to prove that the tree lived to be at least to 1,000 years old. Dendrochronology, or the technique of using tree rings to date wood, is based on the fact that for each passing year a tree develops exactly one ring, as seen in a horizontal cross-section of the trunk. Given that dendrochronology is accurate for trees that lived less than 2,000 total years, the dendrochronologists will be able to determine whether the work comes from a tree that lived to be at least 1,000 years old.Which of the following is an assumption that the argument makes?

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题目： Algorpal Industries produces high quality pneumatic filters. For years, they have primarily served manufacturers of domestic agricultural equipment, and over time, this market has been decreasing. A consultant recommended that, with a minor modification, Algorpal could expand into pneumatic filters for biomedical research technology, a rapidly expanding market. The consultant argued that this single change could reverse a ten-year decline in Algorpal's profits. Which of the following would be the most useful to establish in evaluating the consultant's recommendation?

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题目： A company produces a certain toy in only 2 sizes, small or large, and in only 2 colors, red or green. If, for each size, there are equal numbers of red and green toys in a certain production lot, what fraction of the total number of green toys is large? 1.In the production lot, 400 of the small toys are green. 2.In the production lot, $$\frac{2}{3}$$ of the toys produced are small.

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题目： Three roommates-Bela, Gyorgy, and Janos-together saved money for a trip. The amount that Bela saved was equal to 8% of his monthly income. The amount that Gyorgy saved was exactly $$\frac{1}{3}$$ of the total amount saved by all 3 roommates. What was the total amount saved for the trip by all 3 roommates? 1.Bela had a monthly income of $2,000. 2.Janos saved 1.5 times as much for the trip as Bela.

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题目： If a merchant purchased a sofa from a manufacturer for $400 and then sold it, what was the selling price of the sofa? 1.The selling price of the sofa was greater than 140 percent of the purchase price. 2.The merchant's gross profit from the purchase and sale of the sofa was $$\frac{1}{3}$$ of the selling price.

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题目： For all z, [z]denotes the least integer greater than or equal to z. Is [$$x] = 0$$ ? (1) - 1 (2) $$[x+0.5]= 1$$

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题目： In the xy-plane, lines k and € intersect at the point (1, 1). Is the y-intercept of k greater than the y-intercept of € ? (1) The slope of k is less than the slope of € . (2) The slope of € is positive.

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题目： If r and s are positive numbers and θ is one of the operations, +, −, *, or ÷, which operation is θ? 1.If r = s, then r θ s = 0. 2.If r ≠ s, then r θ s ≠ s θ r.

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题目： If n is positive, is $$\sqrt{n}$$ > 100? (1) $$\sqrt{(n-1)}$$> 99 (2) $$\sqrt{(n+1)}$$> 101