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Magoosh
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Having received his weekly allowance, John spent $$\frac{3}{5}$$ of his allowance at the arcade. The next day he spent one third of his remaining allowance at the toy store, and then spent his last $0.80 at the candy store. What is John's weekly allowance?
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Magoosh
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Prof. Hernandez's monumental work The History of Central America covers everything about the region from the origin of the Mesoamerican period to the end of the Cold War. While the book has several informative maps and charts, many of the chapters spend less time describing facts and more time explaining Prof. Hernandez's theories. Indeed, the last two chapters consist exclusively of his exposition of theory of the role of Central America in post WWII world politics. Therefore, properly speaking, this book is not a history book. Which of the following is an assumption that supports drawing the conclusion above from the reasons given for that conclusion?
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Magoosh
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If K is the least positive integer that is divisible by every integer from 1 to 8 inclusive, then K =
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Magoosh
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If x is the greatest common divisor of 90 and 18, and y is the least common multiple of 51 and 34, then x + y =
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Magoosh
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It took Ellen 6 hours to ride her bike a total distance of 120 miles. For the first part of the trip, her speed was constantly 25 miles per hour. For the second part of her trip, her speed was constantly 15 miles per hour. For how many miles did Ellen travel at 25 miles per hour?
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Magoosh
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Hal has 4 girl friends and 5 boy friends. In how many different ways can Hal invite 2 girls and 2 boys to his birthday party?
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Magoosh
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In a certain state, over 80% of the land is comprised of farms, but historically, large farm machinery has not sold well in this state. The percentage of land devoted to farms is not expected to increase. In fact, the number of farms in the state has been slowly declining over the past decade. A new manufacturer of large farm equipment is building a factory in the middle of this state, and the manufacturer's plans for success depend on strong in-state sales of their product. Both the manufacturer and the industry analysts are expecting this manufacturer to be quite successful over the next few years.Which of the following, if true, most helps to provide a justification for the manufacturer's and the industry analysts' optimistic expectations?
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Magoosh
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A mechanized factory with over 3000 separate conveyor belts wants to minimize the cost associated with maintenance, repair, and replacement of these belts. The conveyer belts currently are composed vulcanized rubber around a cotton web base, but the factory owners are investigating new plastic polymer design. For any given size belt, the costs for belts of the two compositions are comparable. Compared to the current rubber/cotton belts, the plastic polymer belts are lighter and easier to move, so operating the conveyor belts made of plastic polymer would consume less electric energy. A change from rubber/cotton belts to plastic polymer belts would require minor modification to some of the drive cylinders of the conveyor belts, but the costs of these changes are negligible.
Which of the following would it be most useful to know in determining whether switching to the plastic polymer conveyor belts would be likely to help minimize the factory's cost related to its conveyor belt system?
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Magoosh
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When, on a particular shopping trip, a consumer purchases an item which he previously had no intention of purchasing, this sale is called an "impulse purchase." The objects of impulse purchases are occasionally essential items (i.e. items that satisfy basic subsistence needs), but much more frequently are luxury or non-essential items. Researchers have determined that, at the end of a shopping trip, a consumer is much more excited if she has bought a luxury item on an impulse purchase, than if she had made no impulse purchases. If the information above is true, and if the researchers' investigation was properly conducted, then which of the following must also be true?
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Magoosh
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If x and y are both positive and $$\sqrt{x^{2}+y^{2}} = 3x - y, then \frac{x}{y} =$$
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Magoosh
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Recidivism is the return to criminal behavior, and consequently a return to prison, of a former prisoner who has already served in incarceration for a criminal conviction. In the United States, most burglars and common thieves have a recidivist rate above 70%. Studies have shown that, when available, those incarcerated burglars and thieves who pursue post-secondary education while in prison have substantially lower recidivism rates. Therefore, the government should fund programs that assist incarcerated burglars and thieves in pursuing higher education, especially since ___________________________. Which of the following most logically completes the passage?
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Magoosh
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Line k is in the rectangular coordinate system. If the x-intercept of k is -2, and the y-intercept is 3, which of the following is an equation of line k?
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Magoosh
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Six years ago, the police force of Harrisville was reduced, in an effort to make a smaller but more efficient force. In the first two years, crimes in Harrisville, especially by career criminals, were at a higher rate than they had been in the previous decades. Then, for the most recent four years, the crime rate has been the lowest in the seventy years on record, with the significant drop in crimes by career criminals. Which of the following, if true, most helps to explain the change in the crime rate between the first two years after the change and the last four years?
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Magoosh
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Research has shown that shoppers who purchase garments in a "luxury" material, such as cashmere or angora, are likely to purchase garments in more than one other luxury materials, as well. A recent livestock disease has significantly reduced the amount of cashmere available on the market. This, in turn, has driven up the prices of the cashmere products still available for purchase. We can therefore conclude that more people will be buying angora items of clothing this year than they did in previous years.Which of the following, if true, best supports the claim that more people will be buying angora clothing this year?
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Magoosh
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In the last few years, a drastic spike in sea temperatures around Prudhoe Bay has caused the eggs of snow crabs to hatch earlier in the year than they had previously. As a result, baby snow crabs are more likely to be caught by deep sea fishing boats, since deep sea fishing boats are more numerous in Arctic waters during the fall season than they are during the winter season. Which of the following pieces of information is necessary to evaluate the argument?
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Magoosh
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Company X and Company Y have each been building a rocket ship able to travel to Mars. After five years of design and construction, the rocket ships have been unveiled to the public, which instantly notices the rocket ships are so similar in design as to be indistinguishable. Therefore, one of the companies must have had information pertaining to the design of the other rocket ship.Which of the following, if true, would most call in to question the validity of the argument?
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Magoosh
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Marketing chief: The aggressive sales campaign of Product J has made it the most popular product in the sector. Every individual move we made in that campaign was wildly successful, and sales of the product continuously rose. If we mount a similar style sales campaign with Product S, we are likely to vault this into popularity in its own sector, with a similarly robust sales trajectory. Consultant: The popularity of Product J preceded the sales campaign and was responsible for it. The consultant uses which of the following techniques in responding to the marketing chief?
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Magoosh
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A is the center of the circle, and the length of AB is$$4\sqrt{2}$$ . The blue shaded region is a square. What is the area of the shaded region?
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Magoosh
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Political Analyst: "Although citizens of this state normally oppose any new taxes, they are overwhelmingly in favor of taxes that support the medical initiative. Candidate Johnson vowed to cut these taxes, and he was trounced in the primary elections. Furthermore, in a poll that asked citizens, "Would you pay higher taxes if it meant having the benefit of the new medical initiative?", an astonishing 82% replied "Yes." This is a pattern of support for taxes we have not seen before in this state."In the political analyst's argument, the portion in boldface plays which of the following roles?
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Magoosh
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Dimitri weighs x pounds more than Allen weighs. Together, Allen and Dimitri weigh a total of y pounds. Which of the following represents Allen's weight?
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