Magoosh
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If $$10^{a} x 10^{b} x 10^{c} = 1,000,000$$, and a, b, and c are different positive integers, then $$10^{a} + 10^{b} + 10^{c} =$$
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Magoosh
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Electronic Wizard has invented a very compact hand-held extremely powerful electric vacuum pump, primarily for applications in computer manufacturing. They also plan to make a version with a filter for cleaning surfaces, and market this as a cleaning device to homeowners. This hand-held electric vacuum pump will only be able to clean small areas, so homeowners would still need to own a conventional vacuum cleaner.Which of the following, if true, provides the strongest grounds for a prediction that homeowners will buy the hand-held electric vacuum pump cleaner?
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Magoosh
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The company is fortunate to have excellent relationships among its employees: they each have a relationship of respect for all the others.
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Magoosh
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In the diagram above, O is the center of the circle and ACDE is a square. What is the area of the square?Statement #1: the circle has a radius of 2Statement #2: angle ACB = 90°
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Magoosh
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If the average (arithmetic mean) of five consecutive negative integers is 2k – 1, what is the difference between the greatest and least of the five integers?
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Magoosh
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Colfax Beta-80 is a rare genetic defect found primarily in people of Scandinavian descent. Over 97% of known carriers of this defect are citizens of, or are direct descendants of immigrants from, Denmark, Norway, and Sweden. People who carry the Colfax Beta-80 defect are at substantially higher risk for contracting Lupus and related autoimmune diseases. Assuming the statements above are true, which of the following can be inferred from them?
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Magoosh
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Ernst Haeckel held the individual development of biological organisms, from embryos to adult forms, to have passed through all the previous evolutionary stages from single cell organism to its species.
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Magoosh
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If k > 0 and m > 0, what is the value of $${3(k+m)+4k}\over{2k+m}$$?Statement #1: k + m = 9Statement #2: k = 2m
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Magoosh
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If 3x < 2y < 0, which of the following must be the greatest?
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Magoosh
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Art historian: Successful forgeries tend to be those most recently painted. While such a phenomenon may sound counterintuitive, a forger is able to exploit current modes of aesthetics to create paintings that appeal to the eye of his or her contemporaries. This very quality, however, is what makes those paintings seem amateurish to subsequent generations. As a result, a majority of forgeries are identified as such roughly twenty-five years after their creation. Which of the following is an assumption upon which the argument rests?
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Magoosh
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Almost all motor vehicles on the road have a suspension system, that provides a smooth ride by allowing the road surface to have irregularities.
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Magoosh
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In the diagram above, ∠A = ∠F = 50°, ∠B = 20°, and ∠H = 110°. What is the length of FG?Statement #1: triangle FGH has 9 times the area of triangle ABCStatement #2: HF = 9
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Magoosh
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What is the sum of all integers from 45 to 155 inclusive?
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Magoosh
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Nutritionist: Your company’s fruit-processing technologies add unacceptable amounts of copper to the orange juice you sell. Because copper blocks the absorption of Vitamin C, your advertising campaign claiming that your juice is a good source of Vitamin C is faulty and should be removed.Juice Manufacturer: Some amount of copper is necessary for optimal health. Recent studies have shown that as many as 25 percent of Americans do not get enough copper in their diets; therefore, the benefits of the copper that our process adds to the juice outweigh the costs of any Vitamin C that it may block.The juice manufacturer’s response is flawed as a refutation of the nutritionist’s argument because it
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Magoosh
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Cosimo de' Medici, a great patron of the arts, sponsoring two of Donatello's most famous works, statues of David and Judith, while supporting Brunelleschi to complete the dome of the cathedral of Santa Maria del Fiore, which is known to be "Duomo.“
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Magoosh
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What is the value of $$x^4y^2-$$$${x^4}\over{y^2}$$(1) x = 2y(2) y = 1
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Magoosh
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If the ratio of the volume of cube A to the volume of cube B is 1 to 8, what is the ratio of the surface area of cube A to the surface area of cube B?
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Magoosh
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Anselm of Canterbury (1033 – 1109) was a medieval theologian. According to Anselm's ontological argument for the existence of God, "accidental beings" are all those things -- essentially all sense objects -- whose non-existence could be imagined without inherent contradiction, and "necessary beings" are those things whose existence is guaranteed precisely by what they are. Because accidental beings could not have guaranteed that they ever would come into existence, there must be a necessary being upon whom all the accidental beings depends to bring them into existence; and this necessary being Anselm identifies with God, who therefore clearly must exist.In our modern analysis, this eleventh century argument is most vulnerable to what criticism?
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Magoosh
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It is more effective for the union as a group to address a grievance to management than for multiple individual employees to do so.
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Magoosh
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Is the point (x, y) in the Quadrant IV?Statement #1: xy > 0Statement #2: y > 0
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