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数论
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If a and b are integers such that a + b = 5, which of the following is true?I. The product of a and b is odd.II. If a is odd, b is even.III. If a is negative, b is positive.
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The sum of three consecutive integers is 312. What is the sum of the next three consecutive integers?
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If a and b are positive numbers, is a < c?1.The ratio of a to b is 4:1, and the ratio of b to c is 2:7.2.ab > bc
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Five students took an exam. The average grade on the exam was 80. What was the median grade?1. The average of the two highest grades was 95.2. The average of the two lowest grades was 65.
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Is ab> 35?1. -4 < a < 3 and -5< b<4.2. a < 5 and b <7.
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The price of a radio was increased by 25 percent. This price was then increased by 40 percent. A single increase of what percent is equivalent to these two successive increases?
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A proposed ordinance would impose a 10 p.m. curfew on all city residents under the age of 18 in response to increasing thefts by adolescents. However, a city councilman argued that because the majority of adolescents who steal do so during the day, the curfew would have a negligible impact on the total value of property stolen.Which of the following, if true, would most seriously weaken the argument drawn by the councilman above?
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Since at least 1868, paleontologists have been arguing over whether or not birds evolved from dinosaurs. In the late 1960s, a scientist from Yale University named John Ostrom declared there were 22 features in the skeletons of meat-eating dinosaurs that were also seen in birds but not in any other animals. By the year 2000, 85 such characteristics unique to dinosaurs and birds had been discovered. Some very vocal critics continue to oppose the theory, but this skeletal evidence strongly supports the idea that dinosaurs are the direct ancestors of modern birds.Which of the following, if true, would allow the conclusion of the argument to be more properly drawn?
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A greater number of sports magazine subscriptions are sold in Town A than are sold in Town B. Therefore, the citizens of Town A are better informed about international sporting competitions than are the citizens of Town B.Each of the following, if true, weakens the conclusion above EXCEPT:
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Ace Motors, an automobile manufacturer headquartered in the city of Metropolis, recently administered a survey to all executives employed at their downtown headquarters. The survey found that, among executives with similar jobs, those living in the suburbs have less free time per week than do those that live in the city proper because some of the time spent on commuting by the suburban executives is spent on leisure by the urban executives.Which of the following inferences is best supported by the statements made above?
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Attempts in high school English classes to focus writing instruction on creative, free-flow composition, which many educators consider more engaging than lessons in formal grammar, has not materially improved the writing ability of first year college students.
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The manager of the plastic fork factory tried to convince the unruly factory workers they should join forces to optimize production on the belt rather than attempting to be contrary.
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Doctors are loath to prescribe powerful painkillers because their abuse as addictive drugs is a danger for many patients.
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The beginning of the show always brought in lots of money, yet the average singer ended the show with a decrease in what their tip may be.
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Because memory weakens with age, for the experiment to be valid, it is important that a group to be tested for drug induced memory loss be compared with a control group.
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Praise for Johnny Starstruck and his entourage are common, although statistics show Americans still associate his name with the ritualistic murders.
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If seriously mentally ill people do not receive medication, they can grow unable to support themselves, become irrational, and perhaps even threatening the safety of themselves or others.
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When Henry dreams about his late wife, he sees her as she was during her youth.
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The average American may not think of sexual harassment to be a widespread issue, but 75 percent of all women report experiencing it in the workplace.
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When the chorus divides the women into sopranos and altos, it will be able to sing songs many times more complicated compared to those that can be sung as it is now.
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