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Magoosh
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What is the value of k?(1)$$ k^4 = \frac{1}{625}$$(2)$${ k^3} < k^2$$
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Magoosh
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If x is an integer, what is the value of x ?
(1) $$x^2 - 4x + 3 < 0$$
(2) $$x^2 + 4x +3 > 0$$
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Magoosh
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If x, y and k are integers, is xy divisible by 3?(1) $$y = 2^{16} - 1$$(2) The sum of the digits of x equals $$6^k$$
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Magoosh
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Getting adequate sleep, a full eight hours every night, the depth of which will be enhanced by a regular regimen of physical exercise, with significant consequences for not only one's immediate short term health, but also for the immune system's ability in fighting major illness over the long term.
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Magoosh
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Internal combustion engines show an inherent tradeoff between power and fuel efficiency: if a car can race from zero to 60 mph faster, the less fuel efficient its engine is over the time.
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Magoosh
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Following the merger of Fastco and Celeriton, the CFO of Fastco has been charged with reporting the earnings of the employees of both companies, and however he may choose to do so, he will have to abide by relevant state tax laws.
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Magoosh
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Peter O'Toole was nominated for his first Oscar in 1962, and his eighth in 2006, but he never actually won the award.
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Magoosh
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Alfred Wegener, although credited with one of the greatest paradigm shifts in geology, which was that large plates in the earth's crust are responsible for the movement of the continents, had been largely reviled in his day, other geologists going so far as to bar him from attending geology conferences.
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Magoosh
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Few stories have captured the popular imagination than that of one-time Olympian and POW survivor, Louis Zamperini, who battled unimaginable odds.
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Magoosh
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The CFO's detailed analysis of the twenty-three years of Harmonic Technologies clearly established that, for every dollar invested in research and development, including experimental research that is not initially linked with any product, it caused HT to gain nearly six dollars in profits from sales over the next seven years.
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Magoosh
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$${\frac{a}{b}+1}\over{\frac{c}{b}}$$ In the expression above, a, b and c are different numbers and each is one of the numbers 2, 3 or 5. What is the greatest possible value of the expression?
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Magoosh
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In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?
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Magoosh
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A retailer purchases shirts from a wholesaler and then sells the shirts in her store at a retail price that is 80 percent greater than the wholesale price. If the retailer decreases the retail price by 30 percent this will have the same effect as increasing the wholesale price by what percent?
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Magoosh
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If x = $$\frac{7}{9} - \frac{15}{18} + \frac{10}{12} then{ (1-x)}^2 =$$
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Magoosh
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Increasing the original price of a certain item by 25 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent?
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Magoosh
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Joan is allowed to invite 3 of her friends to join her on a family camping trip. If Joan has 10 friends, in how many ways can she invite 3 of them?
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Magoosh
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Nina has exactly enough money to purchase 6 widgets. If the cost of each widget were reduced by $1.25, then Nina would have exactly enough money to purchase 8 widgets. How much money does Nina have?
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Magoosh
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The numbers p and q are both positive. If p percent of 160 equals q percent of 40, then $$\frac{p}{q} =$$
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Magoosh
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In the diagram above, angle measures in degrees are marked as shown, and segment BC is parallel to line AD. What is the measure of angle E?
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Magoosh
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The passage implies that the empiricists believe that the way humans go about ordering color is arbitrary because
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