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Manhattan
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What is x?(1) $$x^2 + 3x + 2 = 0$$(2) $$x \lt 0$$
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Manhattan
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Since 1929, when the global telegraph business peaked, the number of telegrams delivered annually have decreased from 200 million to only 21,000 last year.
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Manhattan
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For a contest at the upcoming county fair, Marie advocates for a ring toss because the ring toss is consistently the favorite activity of the children who attend the fair. Anne, however, points out that adults win most of the prizes when playing ring toss. To make the chances of winning fair for everyone, Anne proposes a raffle. Marie rebuts that those who can afford to spend more on raffle tickets will have better chances of winning. The two agree to hold a raffle in which each person can buy only one ticket.The two boldface portions in the argument above are best described by which of the following statements?
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Manhattan
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The manufacturer’s suggested retail price (MSRP) of a certain item is $60. Store A sells the item for 20 percent more than the MSRP. The regular price of the item at Store B is 30 percent more than the MSRP, but the item is currently on sale for 10 percent less than the regular price. If sales tax is 5 percent of the purchase price at both stores, how much more will someone pay in sales tax to purchase the item at Store A?
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Manhattan
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If ABCD is a trapezoid, where AB is parallel to CD, what is the area of ABCD?(1) $$2(AB) + CD = 12$$(2) The height of the trapezoid is 5 inches
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Manhattan
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Because its military is larger and more technologically sophisticated than Japan, the United States shoulders much of the burden for patrolling and protecting the shipping lanes of the West Pacific.
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Manhattan
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The ability to analyze genomes — sequences of DNA — has grown more and more sophisticated. Scientists are able to examine the biological past in finer detail and with greater accuracy. A new analysis of the genetic links between early humans and chimpanzees has led to a hypothesis that the two species diverged more recently than previous estimates indicated. This gives credence to a very startling new theory: the ancestors of humans and chimpanzees might have hybridized to produce the lineage from which modern humans eventually developed.What can be inferred from the statements above?
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Manhattan
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At 10:00 a.m., Peter begins traveling on a certain bike path from Riverdale at a constant rate of 10 mph. If, at 2:00 p.m., John begins traveling from Riverdale on the same path at a constant rate of 15 mph, at what time will he catch up to Peter?
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Manhattan
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Is x positive?(1) $$(x – 3)^2 > 0$$(2) $$x^3 – 1 > 0$$
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Manhattan
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Unbiased third-party "clean" teams can protect sensitive data while assessing the business rationale of a deal, helping to develop an integrated business plan, and supporting negotiations.
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Manhattan
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Cool Games Corporation derives all of its revenues through the sales of video games. Last year, it fell just short of making a profit although it had strong revenues of $200 million worldwide, half from children and half from adults. This year, the company’s sales to children rose 20% to $120 million, but its sales to adults dropped 40% to a disappointing $60 million. One of the most renowned Wall Street analysts had forecasted that Cool Games Corporation would need to at least match its revenues of last year in order to have a chance to make a profit on video games this year. Upon hearing the news of the Cool Games Corporation’s revenue, the analyst concluded that it was not possible for the company to have made a profit this year.The analyst’s conclusion is based on which of the following assumptions?
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Manhattan
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The 7th grade French and Spanish classes each have 15 students in them, and there are five students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
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Manhattan
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Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?(1) Jim has $$\frac{1}{5}$$ of the number of golf balls that Wendy and Pedro have combined.(2) Pedro and Wendy collectively have $$\frac{5}{6}$$ of the golf balls.
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Manhattan
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Though the United States Navy maintains one of the largest fleets in the world, with craft stationed across the globe, they rarely deploy more than half of all available ships at any given time.
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Manhattan
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Life in an urban center, with daily experiences of subways, crowded sidewalks and dense living, provides countless opportunities for social contact and connection. Exurban life, by contrast, exists in the openness of freeways and one-acre lots, exhibiting little that would suggest social commonality. Yet studies show that people who live in exurbia consistently rate their feeling of connectedness to their community as strong whereas urban dwellers more frequently express feelings of isolation.Which of the following, if true, contributes most to an explanation of the difference in the reported feelings of connectedness between urban and exurban dwellers?
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Manhattan
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If 2 < 2x < 26, how many possible solutions for x are prime numbers?
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Manhattan
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If $$abcd \neq 0$$, is $$ab^2c^3d^4 < 0$$?(1) $$ab^2c^3 < 0$$(2) $$b^2c^3d^4 < 0$$
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Manhattan
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Recent research has indicated that sustainable weight loss is generally a result not of self-deprivation or adopting an extreme diet, but a healthy lifestyle that integrates a balanced diet, regular exercise, and a long-term approach.
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Manhattan
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The Breton Symphony Orchestra board of directors and the musicians’ union are currently in contract negotiations. The musicians’ union is considering proposing a new contract that would demand the following: a 10% increase in musician salaries, the creation of a new financial bonus system for musicians who have been with the orchestra for at least six years, and a limit on the number of rehearsals per week.The answer to which of the following questions is LEAST important in helping the union to determine whether the board will be inclined to accept the new contract proposal?
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Manhattan
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Points A (-2, 3) and B (1, 7) lie on the coordinate plane. What is the length of line segment AB?
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