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Manhattan
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Ben is driving on the highway at x miles per hour. (One mile equals 5,280 feet.) Ben's tires have a circumference of y feet. Which of the following expressions gives the number of revolutions each wheel turns in one hour?
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Manhattan
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Which of the following is the second greatest?
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Manhattan
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What is the value of x?(1) $$x^2 + 5x + 6 = 20$$(2) $$x \lt 0$$
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Manhattan
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Given the circle to the right, with center O, diameter AOB, a radius of 5, and the inscribed triangle ABC, what is the length of AC?
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Manhattan
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Set A is composed of nine numbers, labeled A1 through A9. Set B is also composed of nine numbers, labeled B1 through B9. Set B is defined as follows: B1 = 1 + A1; B2 = 2 + A2; and so on, including B9 = 9 + A9. How much larger is the sum of set B's elements than the sum of set A's elements?
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Manhattan
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Pablo plays 3 rounds of a game, in which his chances of winning each round are$$\frac{1}{3} ,\frac{1}{6} , and\frac{1}{n}$$ , respectively. If$$ n \neq 0$$, what is the probability that Pablo wins the first two rounds, but loses the third?
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Manhattan
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What is the value of x?(1)$$\sqrt{4x} = 6$$(2)$$ x^2 = 81$$
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Magoosh
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Last year, the price per transaction of certain company increases P percent from the year before, and the number of transactions increase N percent from the year before. Total revenue is simply the number of transactions times the price per transaction. Assume this one transaction is this company's only source of revenue. Which of the following is the percent increase in revenue last year, from the year before?
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Magoosh
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The primary purpose of the passage is to
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Magoosh
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$$8^{16}+16^{13}+4^{24}$$=
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Magoosh
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The units digit of$$(137^{13})^{47}$$ is:
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Magoosh
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According to the passage, what would the Ninth Amendment imply about a "right to a trial by jury," explicitly guaranteed in the Seventh Amendment of the US Constitution?
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Magoosh
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The passage implies all of the following about the Savings and Loan Crisis EXCEPT which of the following?
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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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If for some value of x, $$5^{x} + 5^{–x} = B$$, then which of the following is equal to $$25^{x} + 25^{–x}$$?
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Magoosh
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The value of $${(1.3333) (0.6666)(1.125)}\over{(0.75)(0.8)(0.8333)}$$is closest to
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Magoosh
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When a certain coin is flipped, the probability of heads is 0.5. If the coin is flipped 6 times, what is the probability that there are exactly 3 heads?
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Magoosh
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Peter invests $100,000 in an account that pays 12% annual interest: the interest is paid once, at the end of the year. Martha invests $100,000 in an account that pays 12% annual interest, compounding monthly at the end of each month. At the end of one full year, compared to Peter's account, approximately how much more does Martha's account have?
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Magoosh
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Seven cars of seven different models are going to park in a row of seven side-by-side parking spots for an advertisement. Model P and Model Q must park next to each other, and Model S must be somewhere to the right of Models P & Q. How many possible configurations are there for the cars?
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Magoosh
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Positive integers a, b, c, d and e are such that a < b < c < d < e. If the average (arithmetic mean) of the five numbers is 6 and d - b = 3, then what is the greatest possible range of the five numbers?
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