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题目： Given that x $$\neq$$ 0, y $$\neq$$ 0, and (x+y) $$\neq$$ 0, is $$\frac{y}{x}$$ $$\gt$$ $${y}\over{x+y}$$?Statement #1: x > –1Statement #2: y > –1

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题目： In nine independent trials, what is the probability that Outcome A happens at least once?Statement #1: The probability that Outcome A does not happen even once in any of the nine trials is 0.026Statement #2: the probability of Outcome A in a single trial is $$\frac{1}{3}$$

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题目： Is quadrilateral ABCD a square?(1) AB = BC = CD = DA(2) AC = BD

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题目： Is a positive?Statement #1:$$ a^6 < a$$Statement #2: $$a^5 < a$$

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题目： $$x^n + x^n + x^n = x^{n+1}$$What is the value of n?Statement #1:$$x^n=9\sqrt3$$ Statement #2: x = 3

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题目： In a certain class, the ratio of girls to boys is 5:4. How many girls are there?Statement #1: If four new boys joined the class, the number of boys would increase by 20%.Statement #2: If the number of girls increases by 50%, then after such an increase, the probability that a randomly chosen student would be a boy would be$$\frac {8}{23}$$

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题目： If x and y are positive integers, is x - y > $${x+y}\over{2}$$ ?(1) y < x(2) x < 2y

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

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题目： Pediatrician: Child psychologists recommend that mothers of one-year-olds not only name objects in the immediate environment, but that they include the color of the object, when applicable. For instance, if a mother hands her child a red ball, she should say, "This is a red ball." Nonetheless, even if mothers began to name the color, instead of simply saying, "This is a ball," no real benefit will be conferred to the child, because studies have shown that children under 18-months old do not grasp the notion of color.The pediatrician's argument is most vulnerable to which of the following?

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题目： The Z-300 is a particularly fast new sports car, popular among young drivers. It is an expensive model, and relatively few are on the roads. Two months ago, seven different young people in Catoville were arrested for operating the Z-300 at excessive speeds on local roads while having a blood alcohol level well above the legal limit. Since then, a police watch group has reported that Catoville traffic cops frequently have been pulling over drivers of the Z-300 and testing them for alcohol: the total number of Z-300 drivers stopped and tested is five times greater than the total number of drivers of all other makes or models stopped and tested. Which of following conclusions can most properly be drawn from the information above?

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题目： A manager is hoping to reach a certain target for camera sales in his store, which sells between 10 and 20 cameras a week. Typically, most cameras sold in any week are the less expensive economy models, and his store has sold relatively fewer of the more expensive, high-end cameras. The manager realizes that if, on average, three more cameras sold each week were high-end instead of economy models, the store would reach its target in sales. The manager prepares a detailed information sheet for the sales associates, outlining the numerous advantages of the high-end cameras over the economy cameras, and provides each sales associate with a portfolio of contrasting photos of the same images, showing the clearly superior image quality of the high-end cameras. Which of the following, if true, would provide most support for the prediction that the detailed information sheet and photo portfolio given to sales associates will have its intended effect of allowing the store to reach its target in sales?

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题目： The excessive paperwork used to process claims at Brakeland Insurance Company, not the increase in accident claims involving privately owned cars, is responsible for the declining profits at Brakeland since the appointment of its new CEO. Sterling Auto Insurance Company has seen a similar increase in accidents among its insured vehicles, but while Brakeland's profits have decreased, Sterling's have increased in the same time period.Which of the following, if true, would most weaken the argument above?

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题目： Benford's Law states that most phenomena in nature begin with `1's and `2's. The law has been shown to apply very accurately to the amount of money listed on people's income statements. Investigators have used this fact when investigating financial fraud, and can often determine when people have fabricated numbers, since the perpetrators will choose varying amounts so that the first number in each of those amounts is distributed evenly from `1` to `9`. Proponents of Benford's Law, therefore, argue that as the technique of applying Benford's law becomes even more refined, an expert's ability to determine whether a plaintiff has engaged in financial fraud will become as accurate in determining guilt as a fingerprint is today.Which of the following, if true, casts the most doubt on the conclusion drawn by proponents of Benford's Law?

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题目： A technology company plans to develop a prototype laptop that uses iris scanners that can distinguish one user from another. The inventor of this laptop claims that it will reduce insurance and security costs at offices, as only authorized users will be able to turn on the laptop, making it a less appealing target for thieves.Which of the following, if true, most supports the company's implementing its plan to develop the prototype?

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题目： The following is an excerpt from a campaign speech. Senator Baker: My opponent, Candidate Rothmore, has called for increased taxes to fund programs that help the long-term unemployed of the state. Such action would address an immediate symptom for a select group, without doing much to address the overall problems we all face. Only through lowering taxes can we stimulate the growth of small businesses, which will revitalize the state's whole economy. That, in turn, will result in greater prosperity and in more jobs, including jobs for those who have been unemployed for a while. Through lowering taxes, everyone wins, and those currently unemployed get the best help the economy can provide --- a real job. In the argument, the two portions in boldface play which of the following roles?