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Magoosh
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Working together, Machine A and Machine B can produce a total of 200 widgets in 4 hours. How many hours would it take Machine A, working alone, to produce 200 widgets?(1) Working alone, Machine B takes 5 hours to produce 50 widgets.(2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget.
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Magoosh
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If the ratio of w to x to y is 1 : 2 : 3, what is the value of w + x?(1) x - w = 5(2) 3y - 2w = 35
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Magoosh
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A certain zoo has mammals and reptiles and birds, and no other animals. The ratio of mammals to reptiles to birds is 11:8:5. How many birds are in the zoo?Statement #1: there are twelve more mammals in the zoo than there are reptilesStatement #2: if the zoo acquired 16 more mammals, the ratio of mammals to birds would be 3:1
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Magoosh
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A group of five friends have $87 dollars among them. Each one only has bills, that is, whole dollar amounts, no coins. Dolores has $29: does she have the most money of the five of them?Statement #1: three of the friends are tied for the median value, and one has two dollars less.Statement #2: two of the friends, Andie and Betty, have a combined amount of $30, and each has more than $5 herself.
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Magoosh
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A length of rope is cut into three different lengths. What is the length of the shortest rope?(1) The combined length of the longest two pieces is 6 feet.(2) The combined length of the shortest two pieces is 3 feet.
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Magoosh
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K is a rectangular solid. What is the volume of K?Statement #1: a diagonal line across the front face of K has a length of 40Statement #2: a diagonal line across the top face of K has a length of 25
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Magoosh
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Given that (a + b) > (c + d), is a > c?Statement #1: a < (c + d)Statement #2: b < d
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Magoosh
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Set K consists of 4 integers. What is the median of K?(1) The average (arithmetic mean) of K is 3.(2) The mode of K is 3.
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Magoosh
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If k = 13.abc6 where a, b and c each represent a digit, what is the value of b?(1) The value k rounded to the nearest hundredth is 13.54(2) The value k rounded to the nearest thousandth is 13.539
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Magoosh
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At the beginning of January 2003, Lisa invested $10,000 in an account that collected interest, compounding monthly. Assume the annual percentage rate of interest remained constant. She withdrew the money, with interest, at the end of December, 2008. What was the annual percentage of interest paid on this account?Statement #1: Lisa earned $61.83 in interest in November, 2003.Statement #2: At the end of December, 2008, Lisa had gained a total of $4176.25 in interest.
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Magoosh
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By abc we denote a three digit number with digits a, b, and c. Is abc divisible by 3?Statement #1: The product of (a) times (b) is a number divisible by 3Statement #2: c = 3
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Magoosh
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At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball?Statement #1: 40 athletes play both baseball and football, and 75 play football only and no other sportStatement #2: 60 athletes play only baseball and no other sport
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Magoosh
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If w, x and y are integers such that w < x < y, are w, x and y consecutive integers?(1) y - w = 2(2) The average (arithmetic mean) of w, x and y is x
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Magoosh
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For a certain concert, the price of balcony tickets was exactly half the price of orchestra tickets. The ratio of balcony to orchestra tickets sold was 3:2. What was the price of one orchestra ticket?Statement #1: the total revenue taken in from tickets of both kinds was $4200Statement #2: the difference between the number of orchestra tickets sold and the number of balcony tickets sold was 40
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Magoosh
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Unfairly criticized during his time, the Emperor Claudius expanded the Roman Empire to the east, constructed public works such as aqueducts, having passed laws for protecting the rights and freedoms of Jews throughout the Empire.
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Magoosh
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The outspoken abolitionist senator Charles Sumner, after delivering a speech on the senate floor, was accosted by the Southerner Preston Brooks, who, outraged by Sumner's words, bludgeoned the senator with a gutta-percha cane, which Brooks was able to do with impunity, due to a tradition holding that the laws of the United States did not obtain on the senate floor.
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Magoosh
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If BC = BD, what is the length of BC?(1) x = 30(2) AD = 1
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Magoosh
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Winemaking during the Prohibition era, a period when the consumption and sale of alcoholic beverages was illegal, suffered for two main reasons: the few winemakers in operation were forced to use thick-skinned grapes, sacrificing quality but better suited to long distance transport, and many winemakers emigrated, taking with them the knowledge of how to create wine.
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Magoosh
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Beginning in the 1970s, when oil prices soared due to a decrease in the global supply with foreign automakers flooding the market, the automotive industry in the United States suffered numerous setbacks from which, despite periodically resurging, it has never fully recovered.
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Magoosh
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What is the value of $${1}\over{x + 4}?$$Statement #1: 4.375x – 6.25 = 11.25Statement #2:$${{1}\over{x+8}}-\frac{1}{48}=\frac{1}{16}$$
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