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Magoosh
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According to futuristic writings in the 1960s, robots would soon drastically reduce crime. With night vision and ability to detect the chemicals involved in ballistics, such robots could be programed to paralyze anyone roaming the street at night with a gun: virtually all criminals fit that description. These criminals would be incapacitated and thus unable to resist an easy arrest.Which of the following, if true, most strongly indicates that the logic of the prediction is flawed?
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Magoosh
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The probability that event A occurs is 0.4, and the probability that events A and B both occur is 0.25. If the probability that either event A or event B occurs is 0.6, what is the probability that event B will occur?
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Magoosh
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How many multiples of 5 are there between 81 and 358?
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Magoosh
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A purse contains 5-cent coins and 10-cent coins worth a total of $1.75. If the 5-cent coins were replaced with 10-cent coins and the 10-cent coins were replaced with 5-cent coins, the coins would be worth a total of $2.15. How many coins are in the purse?
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Magoosh
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A high percentage of injuries to the anterior cruciate ligament (ACL) occurs in athletes. A sophisticated statistical analysis looked at the number of athletes who suffered an ACL injury, and assigned numerical values to both the nature of the stress that produced the injury and to the resultant level of damage to the ACL. Researchers expected that, controlling for level of injury-causing stress, all athletically inclined individuals would show similar tendency toward ACL injury regardless of the specific sport. A surprising outcome is that, equalizing for injuring-causing stress, it appears that gymnasts have a much higher tendency toward ACL injury than do members of the National Football League (NFL), but this is most likely because _______________
Which of the following most logically completes the argument?
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Magoosh
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What is the remainder when$$ 43^{86}$$ is divided by 5?
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Magoosh
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What is the units digit of $$18^{47}$$?
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Magoosh
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Electronic Wizard has invented a very compact hand-held extremely powerful electric vacuum pump, primarily for applications in computer manufacturing. They also plan to make a version with a filter for cleaning surfaces, and market this as a cleaning device to homeowners. This hand-held electric vacuum pump will only be able to clean small areas, so homeowners would still need to own a conventional vacuum cleaner.Which of the following, if true, provides the strongest grounds for a prediction that homeowners will buy the hand-held electric vacuum pump cleaner?
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Art historian: Successful forgeries tend to be those most recently painted. While such a phenomenon may sound counterintuitive, a forger is able to exploit current modes of aesthetics to create paintings that appeal to the eye of his or her contemporaries. This very quality, however, is what makes those paintings seem amateurish to subsequent generations. As a result, a majority of forgeries are identified as such roughly twenty-five years after their creation. Which of the following is an assumption upon which the argument rests?
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Magoosh
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Nutritionist: Your company's fruit-processing technologies add unacceptable amounts of copper to the orange juice you sell. Because copper blocks the absorption of Vitamin C, your advertising campaign claiming that your juice is a good source of Vitamin C is faulty and should be removed.Juice Manufacturer: Some amount of copper is necessary for optimal health. Recent studies have shown that as many as 25 percent of Americans do not get enough copper in their diets; therefore, the benefits of the copper that our process adds to the juice outweigh the costs of any Vitamin C that it may block.The juice manufacturer's response is flawed as a refutation of the nutritionist's argument because it
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Magoosh
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Anselm of Canterbury (1033 – 1109) was a medieval theologian. According to Anselm's ontological argument for the existence of God, "accidental beings" are all those things -- essentially all sense objects -- whose non-existence could be imagined without inherent contradiction, and "necessary beings" are those things whose existence is guaranteed precisely by what they are. Because accidental beings could not have guaranteed that they ever would come into existence, there must be a necessary being upon whom all the accidental beings depends to bring them into existence; and this necessary being Anselm identifies with God, who therefore clearly must exist.In our modern analysis, this eleventh century argument is most vulnerable to what criticism?
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Magoosh
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In August, the Williamstown main city parking garage was completely full every single day of the month. This phenomenon indicates that the main city parking garage in Williamstown is a popular place for parking. herefore, the Williamstown parking garage will be full every day of the month for September. Which of the following, if true, cast the most doubt on the conclusion above?
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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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Set X consists of 100 numbers. The average (arithmetic mean) of set X is 10, and the standard deviation is 4.6. Which of the following two numbers, when added to set X, will decrease the set's standard deviation by the greatest amount?
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Magoosh
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How many odd, positive divisors does 540 have?
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Magoosh
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A box contains 10 balls numbered from 1 to 10 inclusive. If Ann removes a ball at random and replaces it, and then Jane removes a ball at random, what is the probability that both women removed the same ball?
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The Seventh Symphony (1812) was, at the time, Beethoven's last and vibrant word on the big style he had cultivated in the previous decade. In the Eighth Symphony (1814) he does something new by seeming to return to something old. He writes, that is, a symphony shorter than any since his First. It is almost as though he wanted to call his entire development throughout that decade into question. Indeed, over the remaining years of his life he would confidently explore in opposite directions, writing bigger pieces than before and ones more compressed, his most rhetorical music and his most inward, his most public and his most esoteric, compositions that plumb the inexhaustible possibilities of the sonata style and those that propose utterly new ways of organizing material, music reaching extremes of the centered and the bizarre. If, however, we think of the Eighth as a nostalgic return to the good old days, we misunderstand it. To say it is 1795 revisited from the vantage point of 1812 is not right either. What interests Beethoven is not so much brevity for its own sake—and certainly not something called “classicism”—as concentration. It is as though he were picking up where he had left off in the densely saturated first movement of the Fifth Symphony to produce another tour de force of tight packing. He had already done something like this two years earlier in one of his most uncompromising works, the F-minor String Quartet, Op. 95. But a symphony is not a “private” connoisseur's music like a string quartet; by comparison, the Eighth Symphony is Opus 95's friendly, open-featured cousin, even though its first and last movements bring us some of the most violent moments in Beethoven.
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Magoosh
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The author most likely mentioned the F-minor String Quartet, Op. 95 in order to
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Magoosh
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For all numbers a and b, the operation is defined by$$a\oplus b = a^{2} - ab. If xy \neq 0$$, then which of the following can be equal to zero?I. $$x\oplus y$$II. $$xy\oplus y$$III. $$x\oplus (x + y)$$
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Magoosh
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Which of the following is the purpose of the first sentence of the second paragraph?
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