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$$\frac {4.8(10^9)} {1.6(10^3)}=$$
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which $$3^k$$ is a factor of p?
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The age of the Earth is approximately $${1.3}*{10}^{17}$$ seconds, and one year is approximately $${3.2}*{10}^{7}$$ seconds. Which of the following is closest to the age of the Earth in years?
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OG15 OG16 OG17 OG18
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Four staff members at a certain company worked on a project. The amounts of time that the four staff members worked on the project were in the ratio 2 to 3 to 5 to 6. If one of the four staff members worked on the project for 30 hours, which of the following CANNOT be the total number of hours that the four staff members worked on the project?
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If the sequence $${x}_{1}$$, $${x}_{2}$$, $${x}_{3}$$, ..., $${x}_{n}$$, ... is such that $${x}_{1}={3}$$ and $${x}_{n+1}={2}{x}_{n}-{1}$$ for $$n\ge 1$$, then $${x}_{20}-{x}_{19}=$$
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Of the 500 business people surveyed, 78 percent said that they use their laptop computers at home, 65 percent said that they use them in hotels, and 52 percent said that they use them both at home and in hotels. How many of the business people surveyed said that they do not use their laptop computers either at home or in hotels?
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Meg and Bob are among the 5 participants in a cycling race. If each participant finishes the race and no two participants finish at the same time, in how many different possible orders can the participants finish the race so that Meg finishes ahead of Bob?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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Sixty percent of the members of a study group are women, and 45 percent of those women are lawyers. If one member of the study group is to be selected at random, what is the probability that the member selected is a woman lawyer?
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OG12 OG15
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if $${t}=\frac{1}{(2^9*5^3)}$$ is expressed as a terminating decimal,how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point?
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OG12
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If n is positive, which of the following is equal to $$\frac{1}{\sqrt{n+1}-\sqrt{n}}$$
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PREP08 Test 1
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Which of the following most logically completes the argument?According to experts on shopping behavior, more shoppers would shop at Jerrod's department store if they were offered the convenience of shopping carts. In fact, even if the amount spent by these additional customers only just covered the cost of providing the carts, providing carts would still probably increase Jerrod's profits, since _______.
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PREP08 Test 1
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When feeding, aquatic birds known as phalaropes often spin rapidly on the water's surface, pecking for food during each revolution. To execute these spins, phalaropes kick one leg harder than the other. This action creates upwelling currents. Because plankton on which phalaropes feed typically occurs in greater quantities well below the surface, it is hypothesized that by spinning phalaropes gain access to food that would otherwise be beyond their reach.Which of the following, if true, most strongly supports the hypothesis?
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GWD PREP08 Test 1
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Which of the following most logically completes the passage?Concerned about the financial well-being of its elderly citizens, the government of Runagia decided two years ago to increase by 20 percent the government-provided pension paid to all Runagians over 65. Inflation in the intervening period has been negligible, and the increase has been duly received by all eligible Runagians. Nevertheless, many of them are no better off financially than they were before the increase, in large part because __________.
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PREP08 Test 1
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Two years ago, the government of Runagia increased by 20 percent the government-provided pensions paid to Runagians over 65. The aim of the increase was to stimulate the economy in the rural regions of the country, where most pension recipients live. Statistics, however, show that there has been no increase in economic activity in those regions since then, but that there has been noticeably more spending in the urban areas.Which of the following, if true, most helps to explain why the increase resulted in the unintended state of affairs described?
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PREP08 Test 1
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In the nation of Partoria, large trucks currently have a much higher rate of traffic accidents per mile driven than other vehicles do. However, the very largest trucks—those with three trailers—had less than a third of the accident rate of single- and double-trailer trucks. Clearly, therefore, one way for Partoria to reduce the number of traffic accidents would be to require shippers to increase their use of triple-trailer trucks.Which of the following, if true, most seriously weakens the argument?
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PREP08 Test 1 PREP08 Test 2
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In the nation of Partoria, large trucks currently account for 6 percent of miles driven on Partoria's roads but are involved in 12 percent of all highway fatalities. The very largest trucks—those with three trailers—had less than a third of the accident rate of single- and double-trailer trucks. Clearly, therefore, one way for Partoria to reduce highway deaths would be to require shippers to increase their use of triple-trailer trucks.Which of the following, if true, most seriously weakens the argument?
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PREP08 Test 1
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In parts of South America, vitamin-A deficiency is a serious health problem, especially among children. In one region, agriculturists hope to improve nutrition by encouraging farmers to plant a new variety of sweet potato called SPK004 that is rich in betacarotene, which the body converts into vitamin A. The plan has good chances of success, since sweet potato is a staple of the region's diet and agriculture, and the varieties currently grown contain little beta-carotene.Which of the following, if true, most strongly supports the prediction that the plan will succeed?
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Last year a record number of new manufacturing jobs were created. Will this year bring another record? Well, any new manufacturing job is created either within an existing company or by the start-up of a new company. Within existing firms, new jobs have been created this year at well below last year's record pace. At the same time, there is considerable evidence that the number of new companies starting up will be no higher this year than it was last year and surely the new companies starting up this year will create no more jobs per company than did last year's start-ups. So clearly, the number of new jobs created this year will fall short of last year's record.In the argument given, the two portions in boldface play which of the following roles?
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OG12 OG15 OG16 OG17 GWD PREP08 Test 1
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The growing popularity of computer-based activities was widely expected to result in a decline in television viewing, since it had been assumed that people lack sufficient free time to maintain current television-viewing levels while spending increasing amounts of free time on the computer. That assumption, however, is evidently false: in a recent mail survey concerning media use, a very large majority of respondents who report increasing time spent per week using computers report no change in time spent watching television.In order to evaluate the argument, it would be most useful to determine which of the following?
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PREP08 Test 2
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In order to improve the long-term savings rate of its citizens, Levaska's government has decided to introduce special savings accounts. Citizens can save up to $3,000 a year in special accounts without having to pay tax on the interest, unless they withdraw money from the account before they reach the age of sixty-five. If they do withdraw any money before that age, they have to pay tax on the accumulated interest and a penalty.Which of the following, if true, most seriously threatens the success of the government's plan?
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