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Magoosh
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The average (arithmetic mean) of five numbers is 3x + 4. If one of the numbers is 7x - 4, what is the average of the other four numbers?
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Magoosh
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Cindy invests $10000 in an account that pays an annual rate of 3.96%, compounding semi-annually. Approximately how much does she have in her account after two years?
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Magoosh
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Pediatrician: Child psychologists recommend that mothers of one-year-olds not only name objects in the immediate environment, but that they include the color of the object, when applicable. For instance, if a mother hands her child a red ball, she should say, “This is a red ball.” Nonetheless, even if mothers began to name the color, instead of simply saying, “This is a ball,” no real benefit will be conferred to the child, because studies have shown that children under 18-months old do not grasp the notion of color.The pediatrician's argument is most vulnerable to which of the following?
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Magoosh
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The Z-300 is a particularly fast new sports car, popular among young drivers. It is an expensive model, and relatively few are on the roads. Two months ago, seven different young people in Catoville were arrested for operating the Z-300 at excessive speeds on local roads while having a blood alcohol level well above the legal limit. Since then, a police watch group has reported that Catoville traffic cops frequently have been pulling over drivers of the Z-300 and testing them for alcohol: the total number of Z-300 drivers stopped and tested is five times greater than the total number of drivers of all other makes or models stopped and tested. Which of following conclusions can most properly be drawn from the information above?
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Magoosh
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For centuries, mathematics seemed to exist in service to the natural sciences. Many of the great mathematical breakthroughs, like Newton's Calculus, were spearheaded in the effort to solve scientific questions. In the nineteenth century, though, mathematicians made it clear that the primary object of mathematical study were the abstract creations of mathematics—numbers and shapes and functions and their more abstruse extensions—irrespective of whether this study has any bearing on scientific investigation. Therefore, mathematics is not properly one of the natural sciences.Which of the following is an assumption that supports drawing the conclusion above from the reasons given for that conclusion?
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Magoosh
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During the period in which there are no competitive races, two runners--Runners A and Runners B--take part in an experiment measuring their VO2 max, the volume of oxygen an athlete can use. During these sessions, the runners engaged in moderate aerobic activity, or a sustained heart rate between 146-154 beats per minute. At the end of the sessions, Runner A had a greater VO2 max than did Runner B. Therefore, once the two runners begin identical intensive training--sessions involving over 168 beats per minute-- for the race season, Runner A will continue to have the greater VO2 max, assuming that neither become injured and that both train with similar intensity.Which of the following is an assumption upon which the argument rests?
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Magoosh
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The Canadian elk has traditionally been limited in its geographic range by the presence of elderberries, its primary source of food, which only grow up until a certain point in the tundra. A recent rise in temperatures, however, has seen a spread in the growth of elderberries northwards into the tundra. Therefore, the overall range of the Canadian elk can be expected to increase.
Which of the following, if true, best casts doubt on the argument?
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Magoosh
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In the U.S. Presidential election of 1876, Democrat Samuel Tilden clearly won the popular vote, but after party leaders resolved disputes about electoral votes in four states, they declared Republican Rutherford B. Hayes the winner, Tilden's supporters acquiescing in exchange for the withdrawal of Federal troops from the South.
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Magoosh
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One of Hannibal's successful battle techniques was charging wild elephants directly at the Roman armies, trampling infantry and inducing disarray in the ranks, but Scipio's successful counterstrategy was to command that his men should part, creating channels that allowed the elephants simply to pass through, with them killing the elephants behind his ranks.
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Magoosh
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Dante Rossetti and his colleagues, in calling their group the Pre-Raphaelite Brotherhood, sought a return to the classical ideals of painting that held sway before Raffaello, to what governed the work of 15th century artists such as Sandro Botticelli.
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Magoosh
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For which of the following functions is $$f(-\frac{1}{2})$$ $$\gt$$f(2)?
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Magoosh
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$$If x^{4} = y^{16}$$, then y =
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Magoosh
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At a certain company, 30 percent of the male employees and 50 percent of the female employees have an MBA. If 40 percent of the employees are female, what percent of the employees do not have an MBA?
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Magoosh
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In the xy-coordinate system, the distance between the point (0,0) and point P is$$\sqrt{40}$$ . Which of the following could be the coordinates of point P?
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Magoosh
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Dolphins can swim at high speeds and achieve high acceleration in the water. In 1936, Sir James Gray calculated the force dolphins should be able to exert based on their physiology. He concluded that the propulsive force they were able to exert was not enough to explain how fast they swim and accelerate. In the 2000s, experimenters used special computer-enhanced measurements of the water in which dolphins were swimming. Through mathematical modeling, they were able to measure the force dolphins exert with their tails. As it turns out, dolphins exert considerably more force with their tails than Sir James Gray or anybody else ever expected. Therefore, the force exerted by their tails easily explains how fast they swim and accelerate.In the argument, the two portions in boldface play which of the following roles?
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Magoosh
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If x is a positive integer and x+2 is divisible by 10, what is the remainder when$$ x^{2}+4x+9$$ is divided by 10?
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Magoosh
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From 2005 to 2009, over 80% of graduates from Zenith University were able to secure employment within their first six weeks of graduation. Prospective engineering students should therefore choose Zenith University, if they want to be employed within six weeks of graduating.
Which of the following, if true, would most strengthen the argument?
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Magoosh
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A soccer league is divided into a junior and a senior division, separated not by age but by a player's skill level. This year, to determine the division for which an aspirant is best qualified, the league held a week-long trial, after which coach A and coach B selected players. Coach A nominated sixteen of the forty players for the senior league. Amongst Coach B's nominations for the senior division were four players not nominated by Coach A. Therefore, there will be twenty players in the senior division.Which of the following, if true, provides the strongest basis for the conclusion above to be warranted?
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Magoosh
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Economic analysts, noting the sharp increase in ADHD-related disability claims over the past decade, have posited an epidemic of ADHD among younger generations. These analysts, though, ignore advances in psychoanalytical classifications. ADHD is now listed as an official psychiatric disorder in the DSM-5, whereas those with ADHD were simply treated as undisciplined and irresponsible in the past. Therefore, a greater number of serious cases are recommended now for disability, because Human Resources workers are more likely to identify these behavior patterns as ADHD. Which of the following, if true, provides the most support for the argument?
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Magoosh
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A luxury apartment condo recently opened up along the Biltmore's waterfront. Within the first two months, 80% of the standard units in the first ten of the condo's twelve stories were sold. Nonetheless, only two of the eight penthouses, all of which are located in the top two stories of the building, have sold. In order to sell the remaining six penthouses, the corporation that owns the property, should drop the rate of the penthouses by 20%.Which of the following, if true, would argue against the proposal above?
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