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Magoosh
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If 3xm + 2ym - 2yn - 3xn = 0 and $$m\neq n$$ , then what is the value of y in terms of x?
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Magoosh
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Balancing the need for sufficient food supplies with what constitutes a manageable load to carry was undoubtedly a concern at times for many ancient hunters and gatherers, like that for modern long-distance backpackers.
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Magoosh
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Darwin's idea dethroned humans from their supposed unique place compared with biological entities, likewise, with Freud's ideas subordinating the conscious subject to much more powerful forces of the Unconscious.
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Magoosh
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Although decisive victories at Midway and in the Guadalcanal campaign had raised hopes against Japan for a readily attainable Allied victory, the fierce battles of Iwo Jima and Okinawa forced the conclusion that defeating the Japanese home islands would be neither quick nor easy.
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Magoosh
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In his nearly three decades as the Premier of the People's Republic of China, Zhou Enlai set in motion processes that had a major impact on U.S.-China relations: China entered the Korean War against the United States, at Zhou's urging, and two decades later, because of Zhou's organizing, China normalized their diplomatic connections with the US when Nixon visited.
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Magoosh
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Is p $$\gt$$ q?Statement #1:$$ p^2$$ >$$ q^2$$Statement #2: $$ p^3$$ >$$ q^3$$
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Magoosh
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If O is the center of the circle, what is the area of the circle?(1) Triangle AOC has area 18(2) Arc ABC has length $$3\pi$$
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Magoosh
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A box contains only red chips, green chips and blue chips. If a chip is randomly selected from the box, what is the probability that the chip is either red or green?(1) The probability of selecting a green chip is $$\frac{1}{3}$$
(2) The probability of selecting a blue chip is $$\frac{1}{7}$$
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Magoosh
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If x is an integer, is x odd?
(1) x + (x + 1) + (x + 2) is odd
(2) $$x^2$$ is even
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Magoosh
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If k is an integer, what is the value of k?(1) $$\frac{1}{5}$$$$\lt$$$${1}\over{k-1}$$$$\lt$$$$\frac{1}{2}$$(2) 3$$\lt$$$${k+3}\over{2}$$$$\lt$$5
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Magoosh
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The vice-president of engineering argued that the biggest advantage of the proposed alloy for the designs of the new fuselage would lay in not its unusually light weight but in its superior resistance to the corrosive influence of the elements.
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Magoosh
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Direct democratic governance, exemplifying not the United States' Electoral College but most of the systems of Western European nations, has its roots in the innovative system of ancient Athens.
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Magoosh
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During the Hundred Days conflict, the Royal British Navy blockaded all the ports of France, and also prevented Napoleon to escape to North America after his defeat at Waterloo.
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Magoosh
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If x is an integer, is y an integer?(1) $${4x+4y}\over{2}$$=6 (2) $${3x+6y}\over{3}$$=5
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Magoosh
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Beethoven's Eighth Symphony, a shorter and denser work than the Seventh Symphony, and when Czerny asked why it was less popular than the Seventh, he gruffly replied, "Because the Eighth is so much better!"
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Magoosh
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If 4 < A < 6, n and m are positive integers with n > m, and T = A x $$10^n$$, then what is the value of T?Statement #1: $$\sqrt {A*10^m}$$=23100Statement #2: n – m = 7
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Magoosh
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If x and y are positive integers, is$$\frac{x}{y}$$ $$\lt$$ $${x+5}\over{y+5}$$?Statement #1: y = 5Statement #2: x > y
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Magoosh
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The Epsilon Corporation, having 14 divisions each with at least 100 full-time employees, exemplify the kind of complexity that frustrate the consultants trying to help them.
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Magoosh
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If n is a positive integer and y $$\neq$$ 0, what is the value of$$x^n\over{y^n}$$ ?(1) -x = y(2) n is a prime number
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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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