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Magoosh
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If n is a positive integer, does n have four or more distinct positive factors?Statement #1: n is not primetatement #2: 900 ≤ n < 1100
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Magoosh
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A certain lighthouse is a tall thin cylinder of brick, with a light chamber at the top. The brick extends from the ground to the floor of the light chamber. The brick siding of the lighthouse is in need of painting. How many square feet of brick does it have?Statement #1: The outer diameter of the brick portion of the lighthouse is 28 ftStatement #2: There are 274 steps from ground level to the floor of the light chamber, and each one is 8 inches high.
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Magoosh
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If F is a factor of 105, is F is a prime number?Statement #1: F is not divisible by 3Statement #2: F < 10
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Magoosh
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In a card game named Allemande, each of four players has a hand of 8 cards from a standard deck of 52. Through the play of the game, players try to maximize the point value of their final hand. Suits are irrelevant. Cards Ace through 10 have a point value equal to the number of their card: for example, the five of any suit would be worth 5 points. Face cards (Jack, Queen, and King) are worth 20 points each. Does Charles have the highest value final hand?Statement #1: Charles' final hand is worth 117 pointsStatement #2: No other player besides Charles has more than four face cards in his final hand.
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Magoosh
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Point (P, Q) is in the coordinate plane. Is P > Q?Statement #1: (P, Q) is closer to the x-axis than to the y-axis.
Statement #2: Point (P, Q) is above the line y = x + 1.
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Magoosh
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When 900 is divided by positive integer F, the remainder is M. For some integer N > 5000, when N is divided by positive integer D, the remainder is R. Is R > F?Statement #1: M = 1Statement #2: D = 23
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Magoosh
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What the eye sees, if it is at all different from what the brain visually perceives, then this distinction is, for practice purposes, meaningless.
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Magoosh
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If d is a decimal, is d $$ \ge $$ 1.55?(1) When d is rounded to the nearest tenth, the result is 1.6(2) When d is rounded to the nearest integer, the result is 2
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Magoosh
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An increase in the number of protons, when unaccompanied correspondingly by an increase in the number of neutrons, almost always produce an unstable isotope of an element higher on the Periodic Table.
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Magoosh
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Unlike Walt Whitman's gregariousness, Henry David Thoreau had far more of a penchant for lingering in the stillness of the forest than to soak up the energy of a bustling crowd.
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Magoosh
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If x and y are positive integers, is $$ \frac{X}{Y}$$$$\lt$$$${X+2}\over{Y+3}$$?
Statement #1: y > 20
Statement #2: x < 5
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Magoosh
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A highly educated member of a wealthy and aristocratic Boston family, Percival Lowell was interested in astronomy due to his belief in canals on Mars, which modern astronomers dismiss as material for pop science fiction.
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Magoosh
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Benjamin Franklin had the same relationship to many of the younger members of the Continental Congress, like Jefferson and Hancock, just like the relationship Niels Bohr had with the founders of Quantum Mechanics.
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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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Two-time Presidential candidate William Jennings Bryan, known to oppose evolution on religious grounds, became the star witness for the prosecution in the Scopes Trials.
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Magoosh
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Since the beginning of the year, the community medical clinic verified rigorously the potency of each flu vaccine sample, lest any of its patients are vulnerable to the flu.
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Magoosh
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If x and y are positive integers, is $$x^2y^2$$ even ?(1) x + 5 is a prime number(2) y + 1 is a prime number
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Magoosh
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Even when the price of a stock is range-bound for several months, the volatility of its price within that range can swell the call option premium: the more the price of the stock moves, then the price of the stock's call options will be higher as a result.
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Magoosh
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While Columbus is generally cited as the European who "discovered" America, thinking that he was in East Asia, and it was Amerigo Vespucci correctly deducing that the New World was a landmass previously unknown to the Europeans.
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Magoosh
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Set S consists of all the positive multiples of 5 that are less than K, and K is a positive integer not divisible by 5. The mean of Set S is not divisible by 5. Let N be the number of members of the set. N is not divisible by 5. What does N equal?Statement #1: N < 52Statement #2: $$\frac{K}{5}$$ > 48
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