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Magoosh
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What is the remainder when positive integer n is divided by 4?(1) When n is divided by 8, the remainder is 1.(2) When n is divided by 2, the remainder is 1.
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Magoosh
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k is an integer from 1 to 9 inclusive. If N = 29736 + k , what is the value of k ?(1) N is divisible by 9(2) N is divisible by 5
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Magoosh
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In a certain daycare, are there more boys than girls?(1) The number of girls is less than 3 times the number of boys.(2) The number of boys is less than 3/4 the number of girls.
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Magoosh
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A drawer contains 36 socks, and 2 socks are selected at random without replacement. What is the probability that both socks are black?(1) The probability is 4/9 that the first sock is black.(2) The number of white socks in the drawer is 4 more than the number of black socks.
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Magoosh
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If x and y are integers, is the product xy odd?(1) x = -5(2) x and y are consecutive integers
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Magoosh
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Is x divisible by 12?(1) x is divisible by 27.(2) x is divisible by 6.
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Magoosh
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Is x > y?(1) -4x + 2y < y - 3x(2) wx > wy
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Magoosh
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If a light bulb is selected at random from a shipment, what is the probability that the light bulb is defective?(1) The ratio of the number of defective light bulbs to the number of nondefective light bulbs is 1 to 60.(2) The shipment contains 720 light bulbs.
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Magoosh
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What is the value of x?(1) |6 - 3x| = x - 2(2) |5x + 3| = 2x + 9
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Magoosh
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If Ed's annual salary is $360,000 what is Rick's annual salary?(1) The sum of Rick's annual salary and Jim's annual salary is equal to Ed's annual salary.(2) The sum of Rick's annual salary and Ed's annual salary is equal to twice Jim's annual salary.
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Magoosh
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Bea owns how many more CDs than Al owns?(1) If Bea gives 9 of her CDs to Al, then Al will own twice as many CDs as Bea owns.(2) If Bea gives 1 CD to Al, and Al purchases 4 additional CDs, then Al and Bea will have an equal number of CDs.
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Magoosh
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Scientist: There is a finite amount of helium, which is a key component of MRI magnets, in the world. Because the supply is not renewable, it is frivolous to waste this precious resource on such products as party balloons. Instead, we should use other gases, such as hydrogen, to fill balloons, and the price of helium should be raised significantly to make it prohibitive for such trivial purposes.Which of the following, if true, provides the strongest support for the suggestion that the price of helium should be raised?
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Magoosh
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When 12 marbles are added to a rectangular aquarium, the water in the aquarium rises$$ 1\frac{1}{2}$$ inches. In total, how many marbles must be added to the aquarium to raise the water $$ 2\frac{3}{4}$$ inches?
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Magoosh
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$$73^{2} + 74^{2} =$$
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Magoosh
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The National Farm Administration (NFA) has been concerned over the last decade with the struggles of barley growers. Plan: In an effort to support these barley growers, two years ago, the NFA began a program of sending them, each autumn, a free special mix of fertilizer and enzymes designed to multiply barley yield, to be applied the following spring during first growth. This mix had been stunningly successful in multiplying the yield of barley in laboratory conditions. Results: Most barley growers reported little change in their economic status over this two year period.
Further information: All barley growers received the shipments, and all used them. Weather conditions have been fair to optimal for barley growth over the past two years.
In light of the further information, which of the following, if true, does most to explain the result that followed the implementation of the plan?
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Magoosh
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Two investigative journalists have raised the question whether the new blood pressure drug, Transerythropaxil, has sensitized patients to develop fish allergies. The study was published last month in a major newspaper, and has been picked up by media throughout the country. Lab data has long shown that Transerythropaxil reacts strongly with Eicosapentaenoic acid, found in abundance in fish oil, and this reaction can produce biological irritants. Despite strenuous objections from Transerythropaxil's manufacturer, scientists working in federal labs have just published papers that provide conclusive evidence to the journalists' claim. In the argument given, the two portions in boldface play which of the following roles?
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Magoosh
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State politicians are optimistic that the state's economic downturn will not be as severe as had been predicted. Their hopes are bolstered by the data released last week: the jobless rate declined two full percentage points in the last six months. But, many economists have pointed out the flight of unemployed residents to the bordering states where jobs are plentiful. Furthermore, many out of work residents have been rehired at minimum wage: virtually all new jobs in the state in the past year have been minimum wage jobs. Economists cast grave doubts on the economic well-being of the state. In the argument given, the two portions in boldface play which of the following roles?
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Magoosh
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A company that invests the necessary infrastructure in a large untapped diamond mine can reap as much as 700% profit in the first year. Some of the largest untapped diamond mines in the world are in the nation of Shagoca. Therefore, the American company that brokers a deal in the capital Conkin that allows it to put the necessary infrastructure in place at those mines stands to reap tremendous profits. Which of the following, if true, most helps to explain why American companies are not eager to invest in infrastructure necessarily for diamond mining in Shagoca?
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Magoosh
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$${32x25x54x21}\over{7x30x64x45}$$
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Magoosh
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The cafeteria of a certain elementary school provides a free lunch every day to the entire student body — a significant expense in the school's annual budget. A vice principal was exploring cost-reducing measures that would not compromise nourishment. A local Italian restaurant offered the school a large number of pizzas at a vastly reduced bulk rate. The pizzas were served one day, and afterward, the vice principal calculated that the cost of the pizza and delivery was slightly more than the average cost of typical cafeteria lunch day. Therefore, he concluded that the school could not save money by replacing a day of cafeteria lunch with a day of pizza from this restaurant. Which of the following would be most useful for evaluating the conclusion drawn by the vice principal?
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