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Of 3,500 items manufactured by a machine, 80 percent pass the initial quality control, and the rest require additional testing. How many more items pass initial quality control than those which require additional testing?
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To make a certain type of ale, a brewery must mix enzymes, flax, and barley in the proportion 3:5:7 by volume. What is the largest amount in cubic meters of this mixture the brewery can obtain with one cubic meter of enzymes?
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During a volcanic eruption the particles of dust precipitate at the rate of $${2}\cdot\frac{1}{4}$$ inches every three hours. If a volcano erupted for the first time for 2 hours and erupted again on the next day from 11:00 to 20:00, what was the total fall-out of particles in inches?
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On the first day of the climb, mountaineers covered $$\frac{5}{7}$$ of the distance to the top, on the second day of the climb, they covered $$\frac{1}{5}$$ of the remaining distance. What fraction of the total climb do the mountaineers have to cover to reach the top on the third day?
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To reduce its stock of disposable contact lenses, a pharmacy sells 7 boxes for the price of 4. Given that a customer buys 7 boxes, approximately, what is the amount that she saves as a percent of what she would have spent?
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A triple of positive integers is defined to be a Pythagorean triple if and only if the sum of squares of the two of them equals the square of the third. If triangle S has sides whose lengths form a Pythagorean triple and triangle R has sides whose lengths are integers, do the side lengths of triangle R form a Pythagorean triple?1. R has area which is a multiple of the area of S.2. R and S are similar triangles.
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If the ratio of job applicants with a doctorate degree to job applicants with an MBA degree for positions at Company G in 1999 was $$\frac{1}{5}$$ what was the ratio of applicants with a doctorate to applicants with an MBA for positions at company G in 2003?1. Company G received 20,000 more MBA applicants in 2003 than in 1999.2. Company G received 2,000 more Ph.D. applicants in 2003 than in 1999.
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Because of economies of scale, the cost of production of the second gadget is half the first one which costs c dollars to produce. The production of the third gadget costs half of the second, etc. What is the value of c?1. The sum of the costs of the third and fourth gadgets is $9.2. The sum of the costs of the second and the ninth gadget is $${24}\cdot\frac{2^7+1}{2^8}$$ dollars.
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A direct flight from Lima to Cuzco was diverted to Arequipa due to unexpected bad weather. 163 passengers were on the flight when it finally arrived at Cuzco. How many passengers boarded the flight in Arequipa?1. When the plane took off from Lima, 184 people were on board.2. 30 people chose to disembark at Arequipa and did not re-board the flight.
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A retailer buys t-shirts from a wholesaler in lots of 25 t-shirts each. What is the wholesale price of a lot of t-shirts?1. The retailer sells a single t-shirt for $4.80.2. The retailer sells t-shirts at 20 percent above the wholesale price.
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What is the area of triangle R?1. The base of triangle R is 15.2. The ratio of the altitude dropped from the vertex opposite the base is related to the base of R is 5 to 1.
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A pharmacy offers customers both a patented and a generic version of a certain drug. The pharmacy makes a profit of 20 percent of the cost on every box of the patented version, and it makes a profit of 5 percent of the cost on every box of the generic version. During a certain time period, which version of the drug yields a greater dollar profit to the pharmacy?1. The pharmacy pays more to the wholesaler per box for the patented version than for the generic version.2. The pharmacy sells 30 percent more of the generic version of the drug by weight than the patented version.
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How many seconds long is time period U if U can be no longer than a day?1. Time period U lasts from 13:59:00 until 14:02:00.2. Time period U lasts from 1:59:00 pm until 2:02:00 pm.
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The surface area of a parallelepiped P is?1. The volume of P is 24 square meters.2. The height of P is 200 centimeters.
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In 1942, was the number of people drafted to the army of Country X greater than three times the number of people drafted to the army of Country Y?1. In 1942, there were approximately 0.7 million more people drafted to the army of Country X then those drafted to the army of Country Y.2. In 1942, the 300,000 Adventist Christians made up 20 percent of the draft to the army of Country X, and the 141,000 Evangelists made up 30 percent of the draft to the army of Country Y.
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How many prime numbers are there strictly greater than 5 and less than the integer k?1. 20 < k < 342. 17 < k < 33
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Is uv > 0?1.$$({u}^{2})({v}^{3})<{0}$$2.$${u}({v}^{2})<{0}$$
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The term "episodic memory" was introduced by Tulving to refer to what he considered a uniquely human capacity—the ability to recollect specific past events, to travel back into the past in one's own mind—as distinct from the capacity simply to use information acquired through past experiences. Subsequently, Clayton et al. developed criteria to test for episodic memory in animals. According to these criteria, episodic memories are not of individual bits of information; they involve multiple components of a single event "bound" together. Clayton sought to examine evidence of scrub jays' accurate memory of "what," "where," and "when" information and their binding of this information. In the wild, these birds store food for retrieval later during periods of food scarcity. Clayton's experiment required jays to remember the type, location, and freshness of stored food based on a unique learning event. Crickets were stored in one location and peanuts in another. Jays prefer crickets, but crickets degrade more quickly. Clayton's birds switched their preference from crickets to peanuts once the food had been stored for a certain length of time, showing that they retain information about the what, the where, and the when. Such experiments cannot, however, reveal whether the birds were reexperiencing the past when retrieving the information. Clayton acknowledged this by using the term "episodic-like" memory.
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Acting on the recommendation of a British government committee investigating the high incidence in white lead factories of illness among employees, most of whom were women, the Home Secretary proposed in 1895 that Parliament enact legislation that would prohibit women from holding most jobs in white lead factories. Although the Women's Industrial Defence Committee (WIDC), formed in 1892 in response to earlier legislative attempts to restrict women's labor, did not discount the white lead trade's potential health dangers, it opposed the proposal, viewing it as yet another instance of limiting women's work opportunities.
Also opposing the proposal was the Society for Promoting the Employment of Women (SPEW), which attempted to challenge it by investigating the causes of illness in white lead factories. [line:17][hl:2]SPEW contended, and WIDC concurred, that controllable conditions in such factories were responsible for the development of lead poisoning.[/line:17][/hl:2] SPEW provided convincing evidence that lead poisoning could be avoided if workers were careful and clean and if already extant workplace safety regulations were stringently enforced. However, the Women's Trade Union League (WTUL), which had ceased in the late 1880s to oppose restrictions on women's labor, supported the eventually enacted proposal, in part because safety regulations were generally not being enforced in white lead factories, where there were no unions (and little prospect of any) to pressure employers to comply with safety regulations.
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Years before the advent of plate tectonics―the widely accepted theory, developed in the mid-1960's, the holdsthat the major features of Earth's surface are created by the horizontal motions of Earth's outer shell, or lithosphere― a similar theory was rejected by the geological community. In 1912, Alfred Wegener proposed, in a widely debated theory that came to be called continental drift, that Earth's continents were mobile. To most geologists today, Wegener's The origin of Continents and Oceans appears an impressive and prescient document, containing several of the [hl:5]essential presumptions[/hl:5] underlying plate tectonics theory: the horizontal mobility of pieces of Earth's crust; the essential difference between oceanic and continental crust; and a causal connection between horizontal displacements and the formation of mountain chains. Yet despite the [hl:2]considerable overlap[/hl:2] between Wegener's concepts and the later widely embraced plate tectonics theory, and despite the fact that continental drift theory presented a possible solution to the problem of the origin of mountains at a time when existing explanations were seriously in doubt, in its day Wegener's theory was rejected by the vast majority of geologists.Most geologists and many historians today believe that Wegener's theory was rejected because of its lack of an adequate mechanical basis. Stephen Jay Gould, for example, argues that continental drift theory was rejected because it did not explain how continents could move through an apparently solid oceanic floor. However, as [hl:1]Anthony Hallam[/hl:1] has pointed out, many scientific phenomena, such as the ice ages, have been accepted before they could be fully explained. The most likely cause for the rejection of continental drift―a cause that has been largely ignored because we consider Wegener's theory to have been validated by the theory of plate tectonics―is the nature of the evidence that was put forward to support it. Most of Wegener's evidence consisted of homologies—similarities of patterns and forms based on direct observations of rocks in the field, supported by the use of hammers, hand lenses, and field notebooks. In contrast, the data supporting plate tectonics were impressively geophysical—instrumental determinations of the physical properties of Earth garnered through the use of seismographs, magnetometers, and computers.
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