Magoosh
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If $$5^{x+y} = 125$$ and $$3^{x-3y} = \frac{1}{9}$$, then y =
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Magoosh
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Government official: Currently many business travelers rely on a one-hour flight between the cities, but complain about congestion and delays at the airport. The new high-speed railway between Hamport and Dudley, Aplandia’s two major financial hubs, will be able to make the same trip in slightly less than three hours. Given this option, many who fly between the two cities during the week will choose the railway, since it will allow them to travel between the city centers in less time than a flight with the expected delays plus the commute to and from airports would take.
Which of the following, if true, would most cast doubt on his proposal above?
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Magoosh
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Because of Elnath Industries posting a second consecutive quarter of losses, its stocks tumbled 20% in the last three days.
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Magoosh
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What is the value of x?Statement #1:$$(x – 5)^2$$=0Statement #2: $$(x – 3)^2$$ = 4
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Magoosh
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If y is 80 percent greater than x, then x is what percent less than y?
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Magoosh
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In 1883, the Indonesian island Krakatoa, home to a massive volcano, seemingly disappeared overnight as an eruption rent the entire island apart, catapulting rock and debris into the atmosphere. For the next few years, as ash circled the entire globe, the average world temperature dropped by several degrees Fahrenheit. Therefore, an eruption of similar power in terms of the amount of debris ejected into the atmosphere will likely cause the average temperature around the world to drop by several degrees.Which of the following, if true, best challenges the main claim of the argument?
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Magoosh
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In contrast to the high value the Hopi Native Americans placed on retaining their ancestral lands, Nez Perce Native Americans left their lands and fled over 100 miles, fighting the US Army several times along the way, in an unsuccessful bid for freedom.
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Magoosh
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The numbers a, b, and c are all non-zero integers. Is a > 0?Statement #1: $$b^3$$ = aStatement #2: $$\sqrt[3]{C}$$=a
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Magoosh
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$${91!-90!+89!}\over{89!}$$=
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Magoosh
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In a certain state, over 80% of the land is comprised of farms, but historically, large farm machinery has not sold well in this state. The percentage of land devoted to farms is not expected to increase. In fact, the number of farms in the state has been slowly declining over the past decade. A new manufacturer of large farm equipment is building a factory in the middle of this state, and the manufacturer's plans for success depend on strong in-state sales of their product. Both the manufacturer and the industry analysts are expecting this manufacturer to be quite successful over the next few years.Which of the following, if true, most helps to provide a justification for the manufacturer's and the industry analysts' optimistic expectations?
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Magoosh
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The film professor said he regarded Leni Riefenstahl more like a pioneer of cinematographic aesthetics instead of being a Nazi propagandist.
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Magoosh
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Is y > x?Statement #1: y = x + 1Statement #2: y = $$x^2$$ + 1
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Magoosh
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If the average (arithmetic mean) of a and b is j, and the average of c, d, and e is k, what is the average of a, b, c, d, e and j ?
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Magoosh
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A mechanized factory with over 3000 separate conveyor belts wants to minimize the cost associated with maintenance, repair, and replacement of these belts. The conveyer belts currently are composed vulcanized rubber around a cotton web base, but the factory owners are investigating new plastic polymer design. For any given size belt, the costs for belts of the two compositions are comparable. Compared to the current rubber/cotton belts, the plastic polymer belts are lighter and easier to move, so operating the conveyor belts made of plastic polymer would consume less electric energy. A change from rubber/cotton belts to plastic polymer belts would require minor modification to some of the drive cylinders of the conveyor belts, but the costs of these changes are negligible.
Which of the following would it be most useful to know in determining whether switching to the plastic polymer conveyor belts would be likely to help minimize the factory's cost related to its conveyor belt system?
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Magoosh
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By the late 1960s, the rising number of American casualties in Vietnam and the 1968 Tet Offensive, the Viet Cong's coordinated surprise attack on American installations throughout the whole of Vietnam, suggested that Vietnam was an ultimately unwinnable situation for the United States.
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Magoosh
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In the diagram above, O is the center of the circle, DC = a and DO = b. What is the area of the circle?
Statement #1: $$a^2$$ – 2ab + $$b^2$$ = 36
Statement #2: a + b = 22
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Magoosh
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The average (arithmetic mean) of five numbers is 3x + 4. If one of the numbers is 7x - 4, what is the average of the other four numbers?
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Magoosh
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A study of young children's ability to learn foreign languages found that those with parents who read them more than one book per week in their native language were 75% more proficient in the foreign languages that they learned than children whose parents read them one book per week or less. A secondary finding of the study was that children's ability to remember new vocabulary in a second language drops off sharply after the age of 6, when it becomes 75% more difficult to retain new words learned in the second language.Assuming the statements above are true, which of the following can be inferred from them?
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Magoosh
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Compared to Bach's astonishing output of music each year over his relatively long life, Brahms, ever the perfectionist, destroyed many of his compositions and only published those few that met his high standards.
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Magoosh
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P and Q are positive integers. Is P odd?Statement #1: ($$P^2$$)Q is oddStatement #2: P + Q is even
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