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Magoosh
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A, B, R and S are four positive numbers. Does AS = BR? Statement #1: $$\sqrt{A^2+B^2}=\sqrt{R^2+S^2}$$Statement #2: In the x-y plane, the line through (A, B) and (R, S) goes through the origin
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Magoosh
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Unfairly criticized during his time, the Emperor Claudius expanded the Roman Empire to the east, constructed public works such as aqueducts, having passed laws for protecting the rights and freedoms of Jews throughout the Empire.
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Magoosh
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In the diagram above, AC = AB, and angle DAB = angle DBC. What is the measure of angle BCD?Statement #1: angle BDC = 2*(angle DAB)Statement #2: AD = BD
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Magoosh
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If the average (arithmetic mean) of seven consecutive integers is k + 2, then the product of the greatest and least integer is
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Magoosh
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The outspoken abolitionist senator Charles Sumner, after delivering a speech on the senate floor, was accosted by the Southerner Preston Brooks, who, outraged by Sumner's words, bludgeoned the senator with a gutta-percha cane, which Brooks was able to do with impunity, due to a tradition holding that the laws of the United States did not obtain on the senate floor.
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Magoosh
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Is positive integer n divisible by 4?(1)$$n^2 $$is divisible by 8(2)$$\sqrt{n}$$is an even integer
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Magoosh
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On a certain multiple-choice test, 9 points are awarded for each correct answer, and 7 points are deducted for each incorrect or unanswered question. Sally received a total score of 0 points on the test. If the test has fewer than 30 questions, how many questions are on the test?
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Magoosh
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Winemaking during the Prohibition era, a period when the consumption and sale of alcoholic beverages was illegal, suffered for two main reasons: the few winemakers in operation were forced to use thick-skinned grapes, sacrificing quality but better suited to long distance transport, and many winemakers emigrated, taking with them the knowledge of how to create wine.
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Magoosh
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$$5\sqrt{2}$$ percent of $${{1}\over\sqrt{200}}$$=
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Magoosh
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Rachel drove the 120 miles from A to B at a constant speed. What was this speed?Statement #1: If she had driven 50% faster, her new time would have been $$\frac{2}{3}$$ of her original time.Statement #2: If she had driven 20 mph faster, she would have arrived an hour sooner.
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Magoosh
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Beginning in the 1970s, when oil prices soared due to a decrease in the global supply with foreign automakers flooding the market, the automotive industry in the United States suffered numerous setbacks from which, despite periodically resurging, it has never fully recovered.
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Magoosh
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If x and y are integers and xy $$\neq$$ 0, what is the value of$$x^{-2y} \over{y^{2x}}$$?(1) x + y = 0(2) xy = $$\frac{y}{x}$$
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Magoosh
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If∠CFD=85° , then what is the value of x?Note: Figure not drawn to scale
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Magoosh
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If $$x^{a - b} = 1$$, what is the value of x ?(1) $$a \neq b$$(2) x > 0
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Magoosh
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According to Kepler's Second Law of Planetary Motion, as a planet moves through its elliptical orbit, it changes its orbital speed as its distance from the Sun changes: in particular, the closer the planet is to the Sun, then it is moving its orbit that much faster.
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Magoosh
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If the average (arithmetic mean) of x, y and 15 is 9, and the average of x, 2y and 2 is 7, then y =
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Magoosh
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Of all the things that Washington could have done in conducting the American Revolution, nevertheless the war against the British would not have succeeded without French intervention.
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Magoosh
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In the diagram above, A is the center of the circle, angle BAD = 90°, and the area of triangle ABD is $$24\sqrt{3}$$. Point C is the intersection
of segment BD with the circle. What is thearea of the circle? Statement #1: AB = 12Statement #2: AD = CD
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Magoosh
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If $$9^{2x+5} = 27^{3x-10}$$, then x =
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Magoosh
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If CD = 6, what is the length of BC?(1) $$BD=6\sqrt{3}$$(2) x = 60
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