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OG19-数学分册
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List S consists of the positive integers that are multiples of 9 and are less than 100. What is the median of the integers in S ?
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OG19-数学分册
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In the figure above, if F is a point on the line that bisects angle ACD and the meaure of angle DCF is $$x^{0}$$ , which of the following is true of x?
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OG19-数学分册
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If x and y are integers and $$x - y$$ is odd, which of the following must be true?
I. xy is even.
II. $$x^{2}+y^{2}$$ is odd.
Ill. $$(x+y)^{2}$$ is even.
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OG19-数学分册
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In the rectangular coordinate system shown above, points 0, P, and Q represent the sites of three proposed housing developments. If a fire station can be built at any point in the coordinate system, at which point would it be equidistant from all three developments?
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OG19-数学分册
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At the opening of a trading day at a certain stock exchange, the price per share of stock K was $8. If the price per share of stock K was $9 at the closing of the day, what was the percent increase in the price per share of stock K for that day?
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OG19-数学分册
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As shown in the diagram above, a lever resting on a fulcrum has weights of $$w_{1}$$ pounds and $$w_{2}$$ pounds, located $$d_{1}$$ feet and $$d_{2}$$ feet from the fulcrum. The lever is balanced and $$w_{1}$$ $$d_{1}$$ = $$w_{2}$$ $$d_{2}$$• Suppose $$w_{1}$$ is 50 pounds and $$w_{2}$$ is 30 pounds. If $$d_{1}$$ is 4 feet less than $$d_{2}$$, what is $$d_{2}$$, in feet?
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OG19-数学分册
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The number of rooms at Hotel G is 10 less than twice the number of rooms at Hotel H. If the total number of rooms at Hotel G and Hotel H is 425, what is the number of rooms at Hotel G ?
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OG19-数学分册
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$$\frac{3}{100}$$ + $$\frac{5}{1,000}$$ +$$\frac{7}{100,000}$$=
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OG19-数学分册
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Three people each contributed x dollars toward the purchase of a car. They then bought the car for y dollars, an amount less than the total number of dollars contributed. If the excess amount is to be refunded to the three people in equal amounts, each person should receive a refund of how many dollars?
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OG19-语文分册 OG20-语文分册
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Microbiologist: A lethal strain of salmonella recently showed up in a European country, causing an outbreak of illness that killed two people and infected twenty-seven others. Investigators blame the severity of the outbreak on the overuse of antibiotics, since the salmonella bacteria tested were shown to be drug-resistant But this is unlikely because patients in the country where the outbreak occurred cannot obtain antibiotics to treat illness without a prescription, and the country's doctors prescribe antibiotics less readily than do doctors in any other European country.
Which of the following, if true, would most weaken the microbiologist's reasoning?
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OG19-语文分册 OG20-语文分册
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Urban planner: When a city loses population due to migration, property taxes in that city tend to rise. This is because there are then fewer residents paying to maintain an infrastructure that was designed to support more people. Rising property taxes, in turn, drive more residents away, compounding the problem. Since the city of Stonebridge is starting to lose population, the city government should therefore refrain from raising property taxes.
Which of the following, if true, would most weaken the urban planner's argument?
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OG19-语文分册 OG20-语文分册
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Plantings of cotton bioengineered to produce its own insecticide against bollworms, a major cause of crop failure, sustained little bollworm damage until this year. This year the plantings are being seriously damaged by bollworms. Bollworms, however, are not necessarily developing resistance to the cotton's insecticide. Bollworms breed on corn, and last year more corn than usual was planted throughout cotton-growing regions. So it is likely that the cotton is simply being overwhelmed by corn-bred bollworms.
In evaluating the argument, which of the following would it be most useful to establish?
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OG19-语文分册 OG20-语文分册
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Typically during thunderstorms most lightning strikes carry a negative electric charge; only a few carry a positive charge. Thunderstorms with unusually high proportions of positive-charge strikes tend to occur in smoky areas near forest fires. The fact that smoke carries positively charged smoke particles into the air above a fire suggests the hypothesis that the extra positive strikes occur because of the presence of such particles in the storm clouds.
Which of the following, if discovered to be true, most seriously undermines the hypothesis?
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OG19-语文分册 OG20-语文分册
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Psychologist: In a study, researchers gave 100 volunteers a psychological questionnaire designed to measure their self-esteem. The researchers then asked each volunteer to rate the strength of his or her own social skills. The volunteers with the highest levels of self-esteem consistently rated themselves as having much better social skills than did the volunteers with moderate levels. This suggests that attaining an exceptionally high level of self-esteem greatly improves one's social skills.
The psychologist's argument is most vulnerable to criticism on which of the following grounds?
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OG19-语文分册 OG20-语文分册
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To prevent a newly built dam on the Chiff River from blocking the route of fish migrating to breeding grounds upstream, the dam includes a fish pass, a mechanism designed to allow fish through the dam. Before the construction of the dam and fish pass, several thousand fish a day swam upriver during spawning season. But in the first season after the project's completion, only 300 per day made the journey. Clearly, the fish pass is defective.
Which of the following, if true, most seriously weakens the argument?
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OG19-语文分册 OG20-语文分册
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The passage suggests that, in the early 1990s, Michaels would have been most likely to agree with which of the following statements about the disparity mentioned in the lines 3-4?
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OG19-语文分册 OG20-语文分册
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According to the passage, Santer asserts which of the following about global warming?
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Micro-wear patterns found on the teeth of longextinct specimens of the primate species australopithecine may provide evidence about their diets. For example, on the basis of tooth micro-wea patterns, Walker dismisses Jolly's hypothesis that australopithecines ate hard seeds. He also disputes Szalay's suggestion that the heavy enamel of australopithecine teeth is an adaptation to bone crunching, since both seed cracking and bone crunching produce distinctive micro-wear characteristics on teeth. His conclusion that australopithecines were frugivores (fruit eaters) is based upon his observation that the tooth micro- wear characteristics of east African australopithecine specimens are indistinguishable from those of chimpanzees and orangutans, which are commonly assumed to be frugivorous primatesHowever, research on the diets of contemporary primates suggests that micro-wear studies may have limited utility in determining the foods that are actually eaten. For example, insect eating, which can cause distinct micro-wear patterns, would not cause much tooth abrasion in modern baboons, who eat only soft-bodied insects rather than hard-bodied insects. In addition, the diets of current omnivorous primates vary considerably depending on the environments that different groups within a primate species inhabit; if
australopithecines were omnivores too, we might expect to find considerable population variation in their tooth micro-wear patterns. Thus, Walker's description of possible australopithecine diets may need to be expanded to include a much more diverse diet.
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OG19-语文分册 OG20-语文分册
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The passage suggests that which of the following would be true of studies of tooth micro-wear patterns conducted on modern baboons?
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OG19-语文分册 OG20-语文分册
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The passage suggests that Walker's research indicated which of the following about australopithecine teeth?
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