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Magoosh
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A division of a company consists of seven men and five women. If three of these twelve employees are randomly selected as representatives of the division, what is the probability that the representatives will consist of two females and one male?
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Most educated people of the eighteenth century, such as the Founding Fathers, subscribed to Natural Rights Theory, the idea that every human being has a considerable number of innate rights, simply by virtue of being a human person. When the US Constitution was sent to the states for ratification, many at that time felt that the federal government outlined by the Constitution would be too strong, and that rights of individual citizens against the government had to be clarified. This led to the Bill of Rights, the first ten amendments, which were ratified at the same time as the Constitution. The first eight of these amendments list specific rights of citizens. Some leaders feared that listing some rights could be interpreted to mean that citizens didn't have other, unlisted rights. Toward this end, James Madison and others produced the Ninth Amendment, which states: the fact that certain rights are listed in the Constitution shall not be construed to imply that other rights of the people are denied. Constitutional traditionalists interpret the Ninth Amendment as a rule for reading the rest of the constitution. They would argue that "Ninth Amendment rights" are a misconceived notion: the amendment does not, by itself, create federally enforceable rights. In particular, this strict reasoning would be opposed to the creation of any new rights based on the amendment. Rather, according to this view, the amendment merely protects those rights that citizens already have, whether they are explicitly listed in the Constitution or simply implicit in people's lives and in American tradition. More liberal interpreters of the US Constitution have a much more expansive view of the Ninth Amendment. In their view, the Ninth Amendment guarantees to American citizens a vast universe of potential rights, some of which we have enjoyed for two centuries, and others of which the Founding Fathers could not possibly have conceived. These scholars point out that some rights, such as voting rights of women or minorities, were not necessarily viewed as rights by the majority of citizens in late eighteenth century America, but are taken as fundamental and unquestionable in modern America. While those rights cited are protected specifically by other amendments and laws, the argument asserts that other unlisted right also could evolve from unthinkable to perfectly acceptable, and the Ninth Amendment would protect these as-yet-undefined rights.
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Magoosh
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The passage provides support for which of the following?
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For much of the twentieth century, Saving and Loans (S&L) banks made mortgage loans to individual middle class families, allowing many to buy houses. In the 1970s, the combination of inflation and falling oil prices created economic conditions to place S&L banks at risk. In the early 1980s, Congress deregulated the S&L banks, allowing them to expand the kinds of investments from which they drew profits. The deregulation was designed to open beneficial options which would allow the flagging S&L banks to save themselves. Instead, many S&L banks pursued investments in sectors they did not understand well, such as commercial real estate: they entered these sectors with large amounts of cash although they were not fully apprised of the risks. The collapse of the housing market in the mid 1980's, following an unprecedented building boom over the previous ten years, led to the failure of numerous S&L banks. As these banks were protected by federal insurance, this collapse cost the American taxpayers over $100 billion. In some of the S&L banks that failed, the bank leaders were found guilty of embezzlement and other kinds of fraud. In some cases, the burden of fraud caused otherwise viable banks to fail, and in other cases, a bank that was going to fail anyway had its life prolonged by fraud, creating additional expenses for the federal bank bailout. Former bank regulator William Black has argued that the US government has not adequately learned important lessons from the S&L crisis. While stronger regulations for all banks are in place now, little has been done to strengthen the fraud procedures. Black has pointed out that bank fraud has the opportunity to thrive whenever regulation or oversight is loosened, and systemic occurrences of bank fraud pose a major risk to the well-being of the economy. While individuals may resist fraud because of their own ethics, this is not sufficient to protect the economy as a whole. Congressmen, responding to Black's charges, argue that the SEC has in place strict guidelines for what constitutes bank fraud, and that both SEC investigators and congressmen themselves are well-poised to detect even individual instances of fraud, to say nothing of widespread fraud. Black points out that SEC investigators do not have criminologist training: while they understand the rules well, they are not familiar with all the methods used to subvert or violate them. Furthermore, congressmen, under certain conditions, can turn a blind eye to bank fraud. For example, in the 1980s, the so-called "Keating five" senators accepted cash contributions from Charles Keating, the head of a S&L bank, and in return gave Mr. Keating undue protection which allowed him to continue his fraud.
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Magoosh
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The author implies which of the following is a characteristic of "classicism"?
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Magoosh
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The passage provides support for which of the following?
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Magoosh
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The ratio of two positive numbers is 3 to 4. If k is added to each number the new ratio will be 4 to 5, and the sum of the numbers will be 117. What is the value of k?
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Magoosh
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If a rectangle has perimeter of 20 and a diagonal with length 9, what is the area of the rectangle?
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Magoosh
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If the length of each side of an equilateral triangle were increased by 50 percent, what would be the percent increase in the area?
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Magoosh
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A cow is tethered to the corner of a rectangular shed. If the length of the rope is 5, and the shed has length 4 and width 3, what is the maximum area that is accessible to the cow? (The cow cannot enter the shed).
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Magoosh
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If $$f(x) = x^{4} - 3x^{3}- 2x^{2} + 5x $$, then f(-1) =
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Magoosh
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To attend the Barnaby Dance, Sarah must buy new shoes for $47, a new earrings for $16, and a ticket to the dance for $25. If there will be an 8% tax on the shoes & earrings, what is the total amount Sarah must pay?
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Magoosh
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 In the diagram above, AB is parallel to EH, and BD is parallel to FH. Also, AB = BC, and EF = FH. If ∠EGC = 70°, then ∠D =
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Magoosh
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Medical Investigator: "Podiatrists initially assumed that Meyer's Rash, an itchy rash between the toes, was a fungal infection similar to athlete's foot. At first, only Dr. Pannikar argued that Meyer's Rash was viral in nature. All anti-fungal medications proved utterly ineffective in addressing Meyer's Rash. Now, recent antibody studies seem to suggest, quite surprisingly, that Meyer's Rash is caused by a virus."In the medical investigator's argument, the portion in boldface plays which of the following roles?
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Magoosh
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The waters off the coast of Iceland are filled with pods of killer whales, which migrate there during the summer. Wildlife parks that rely on the killer whales for entertainment hunt the killer whale almost exclusively in the water of Iceland, because strict sanctions forbid them from doing so off the coast of North America, an area also abundant in killer whales. Since Iceland recently gave into pressure from international groups opposed to the hunting of killer whales, it too will forbid the hunting of killer whales off its coast. Therefore, all wildlife parks will be forced to end their shows featuring killer whales once their current killer whales are unable to perform. All of the following cast doubt on the conclusion of the argument EXCEPT?
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Magoosh
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In a certain sock drawer, there are 4 pairs of black socks, 3 pairs of gray socks and 2 pairs of orange socks. If socks are removed at random without replacement, what is the minimum number of socks that must be removed in order to ensure that two socks of the same color have been removed?
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Magoosh
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Each circle has center O. The radius of the smaller circle is 2 and the radius of the larger circle is 6. If a point is selected at random from the larger circular region, what is the probability that the point will lie in the shaded region?
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Magoosh
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If 5x - 3y = 7 and 2y - 4x = 3, then 2x - 2y =
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Magoosh
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A large apartment building in a city was assessed by a city environmental bureau for the comparatively high consumption of electricity in the building, and the landlord was threatened with a possible fine if the consumption did not drop significantly in a specified period. While all built-in appliances and lighting in common areas are energy efficient, the landlord found, upon doing an inspection, many residents were using older portable heaters that are not very energy efficient. The landlord decided to send each resident a detailed letter about the electric energy consumption of these older portable heaters, recommending newer more energy efficient models that could be purchased at local stores. He hopes the letter will motivate enough residents to buy more energy efficient heaters.
Which of the following, if true, would provide most support for the prediction that the landlord's letter will have its intended effect?
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Magoosh
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Kim is taking a math class, and the teacher gives a multiple choice test consisting of 8 questions. If each question has 5 answer choices, and Kim answers every question, in how many different ways can she complete the test?
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