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The sum of the mean, the median, and the range of the set {1, 2, 6} equals which one of the following values?
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A basketball team composed of 12 players scored 100 points in a particular contest. If none of the individual players scored fewer than 7 points, what is the greatest number of points that an individual player might have scored?
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The information in the passage suggests that which of the following would most strongly indicate an imminent change in the business cycle?
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If x is an integer, what is the value of x?(1) 2x – 3 < 5(2) -4x < -8
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Scientists have discovered a new species of butterfly that lives only in a small region of Central America and is active only at night. During the day, it rests in treetops, where its green color matches the foliage perfectly. Therefore, the scientists must have discovered the butterfly at night.The argument depends on which of the following assumptions?
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Despite its 1989 designation as a threatened species, the desert tortoise has declined in numbers by ninety percent since the 1980s. Although federal protection made it illegal to harm desert tortoises or remove them from the southwestern North American deserts, this measure has been insufficient to reverse the species' decline. The lack of recovery is partly due to the desert tortoise's low reproductive potential. Females breed only after reaching fifteen to twenty years of age, and even then may only lay eggs when adequate forage is available. The average mature female produces only a few eggs annually. From these precious eggs, hatchlings emerge wearing soft shells that will take five years to harden into protective armor. The vulnerable young are entirely neglected by adult tortoises, and only five percent ultimately reach adulthood. Predators are blamed for a majority of tortoise deaths; ravens alone are estimated to cause more than half of the juvenile tortoise deaths in the Mojave Desert. Tortoise eggs and juveniles can also fall prey to mammals and other reptiles. For protection from predators, as well as from desert temperature extremes, tortoises of all ages burrow into the earth. However, if rabbits and rodents are scarce, larger predators may exhume tortoises from their burrows, devouring even mature tortoises despite their hardened shells. Further, tortoises are susceptible to a wide range of pathogens. The population decline is partly due to upper respiratory tract disease (URTD), characterized by nasal and ocular discharge and palpebral edema. In 2006, more than 80 percent of captive desert tortoises had anti-mycoplasma antibodies, seropositive indication of the disease. Released captive tortoises can rapidly spread URTD into the wild population with devastating consequences.Though desert tortoises are well adapted to arid habitats, and adults can survive a year without access to water, they rely heavily on moisture in the vegetation consumed in spring, when they surface from their hibernal dormancy. The loss of native plants to grazing livestock and invasive plant species, then, may lessen the tortoise's resistance to pathogens, though the tortoises do also dig precipitation basins in the soil and linger near one when rain is impending.
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The primary purpose of the passage is to
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8 cities, including Memphis, are finalists to be chosen to host a political convention. Exactly one city will be chosen to host the convention. What is the probability that Memphis is not chosen?(1) The probability that any one of the 8 cities does not win the competition is 7/8.(2) The probability that Memphis wins the competition is 1/8.
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The children in the second grade at a local elementary school scored lower on tests of math skills this year than the second graders did last year. The school board blames the disappointing results on the budget cuts that forced the school to consolidate several classes of second-grade students, thus depriving them of the individualized attention that they had previously enjoyed.Which of the following, if true, best supports the explanation offered by the school board for the students' lower test scores?
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The primary purpose of the passage is to
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If Company X sold 6,000 newspapers last year, how many will it sell this year? (1) Two years ago, Company X sold 5,000 newspapers. (2) Three years ago, Company X sold 4,000 newspapers.
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According to a recent study, hand sanitizers require a 60 percent minimum alcohol concentration for the killing of most harmful bacteria and viruses.
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Ecologist: The incidence of alligator attacks on humans in the vicinity of the Blue Lagoon has increased in recent years. Relocating at least half of the Blue Lagoon's alligator population would help decrease the incidence of alligator attacks on humans.The ecologist's claim relies on which of the following assumptions?
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A certain company has budgeted $1,440 for entertainment expenses for the year, divided into 12 equal monthly allocations. If by the end of the third month, the total amount spent on entertainment was $300, how much was the company under budget or over budget?
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Martin Luther King Jr. won the Nobel Peace Prize, the Presidential Medal of Freedom, and was the most famous leader of the American civil rights movement.
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If the average weight of the chickens on Farm One is 12 pounds, how many chickens are there on Farm Two?(1) The average weight of the chickens on Farm Two is 13 pounds.(2) The total weight of the chickens on Farm Two is 6 pounds less than the total weight of the chickens on Farm One.
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The capital gains tax, levied against profits earned on investments, have been being the subject of recent political debate.
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What is$$\frac{3}{5} of \frac{5}{8} of \frac{2}{3}?$$
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Ivan operates an ice cream stand in the summertime, selling exclusively chocolate, vanilla and strawberry cones. On a recent afternoon, the ratio of chocolate to vanilla to strawberry cones sold by Ivan was 6 : 3 : 2. How many cones did Ivan sell on that afternoon? (1) Ivan sold 24 vanilla cones.(2) Ivan sold twice as many chocolate cones as vanilla cones.
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The number of passengers on a certain bus at any given time is given by the equation$$ P = –2{( S – 4)}^{ 2} + 32$$, where P is the number of passengers and S is the number of stops the bus has made since beginning its route. If the bus begins its route with no passengers, what is the value of S when the bus has its greatest number of passengers?
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