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marathoner

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  1. What is the greatest area of a triangle with one of its vertex at the center of a circle with radius 1 unit and the other two vertices on the circle ? 1/2 v3/4 pie/4 1 pie/2 Explanations Please ???
  2. Is xy + z = z, is |x -y| > 0 ? (1) x ≠ 0 (2) y = 0 Expanations please? I have problems with absolute value DS.
  3. Someone invested x dollars at simple annual interest, and the investment, including interest will be doubled in 8 and 1/3 years. What will be the total amount of the investment after 25 years?
  4. In April 1997, Hillary Rodham Clinton hosted an all-day White House scientific conference on new findings that indicates a child’s acquiring language, thinking, and emotional skills as an active process that may be largely completed before age three. A. that indicates a child’s acquiring language, thinking, and emotional skills as B. that are indicative of a child acquiring language, thinking, and emotional skills as C. to indicate that when a child acquires language, thinking, and emotional skills, that it is D. indicating that a child’s acquisition of language, thinking, and emotional skills is E. indicative of a child’s acquisition of language, thinking, and emotional skills as
  5. Most of the purported health benefits of tea comes from antioxidants—compounds also found in beta carotene, vitamin E, and vitamin C that inhibit the formation of plaque along the body’s blood vessels. A. comes from antioxidants—compounds also found in beta carotene, vitamin E, and vitamin C that B. comes from antioxidants—compounds that are also found in beta carotene, vitamin E, and vitamin C, and they C. come from antioxidants—compounds also found in beta carotene, vitamin E, and vitamin C, and D. come from antioxidants—compounds that are also found in beta carotene, vitamin E, and vitamin C and that E. come from antioxidants—compounds also found in beta carotene, vitamin E, and vitamin C, and they
  6. Despite the growing number of people who purchase plane tickets online, airline executives are convinced that, just as one-third of bank customers still prefer human tellers to automatic teller machines, many travelers will still use travel agents. A. growing number of people who purchase plane tickets online, airline executives are convinced that, just as one-third of bank customers still prefer human tellers to automatic teller machines, many travelers will B. growing number of people who purchase plane tickets online, airline executives are convinced, just as one-third of bank customers still prefer human tellers to automatic teller machines, that many travelers would C. growing number of people purchasing plane tickets online, airline executives are convinced, just as one-third of bank customers still prefer human tellers as compared to automatic teller machines, many travelers will D. fact that the number of people purchasing plane tickets online is growing, airline executives are convinced, just as one-third of bank customers still prefer human tellers as compared to automatic teller machines, that many travelers would E. fact that the number of people who purchase plane tickets online are growing, airline executives are convinced that, just as one-third of bank customers still prefer human tellers compared with automatic teller machines, many travelers would
  7. In Town X, 64 percent of the population are employed, and 48 percent of the population are employed males. What percent of the employed people in Town X are females? A. 16% B. 25% C. 32% D. 40% E. 52%
  8. June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note: 1984 was a leap year.) A. Sunday B. Monday C. Tuesday D. Wednesday E. Thursday
  9. June 25, 1982, fell on a Friday. On which day of the week did June 25, 1987, fall? (Note:1984 was a leap year.) A. Sunday B. Monday C. Tuesday D. Wednesday E. Thursday
  10. Left-handed persons suffer more frequently than do right-handed persons from certain immune disorders, such as allergies. Left-handers tend to have an advantage over the right-handed majority, however, on tasks controlled by the right hemisphere of the brain, and mathematical reasoning is strongly under the influence of the right hemisphere in most people. If the information above is true, it best supports which of the following hypotheses? (A) Most people who suffer from allergies or other such immune disorders are left-handed rather than right-handed. (B) Most left-handed mathematicians suffer from some kind of allergy. © There are proportionally more left-handers among people whose ability to reason mathematically is above average than there are among people with poor mathematical reasoning ability. (D) If a left-handed person suffers from an allergy, that person will probably be good at mathematics. (E) There are proportionally more people who suffer from immune disorders such as allergies than there are people who are left-handed or people whose mathematical reasoning ability is unusually good.
  11. Damaged nerves in the spinal cord do not regenerate themselves naturally, nor even under the spur of nerve-growth stimulants. The reason, recently discovered, is the presence of nerve-growth inhibitors in the spinal cord. Antibodies that deactivate those inhibitors have now been developed. Clearly, then, nerve repair will be a standard medical procedure in the foreseeable future. Which of the following, if true, casts the most serious doubt on the accuracy of the prediction above? (A) Prevention of the regeneration of damaged nerves is merely a by-product of the main function in the human body of the substances inhibiting nerve growth. (B) Certain nerve-growth stimulants have similar chemical structures to those of the antibodies against nerve-growth inhibitors. © Nerves in the brain are similar to nerves in the spinal cord in their inability to regenerate themselves naturally. (D) Researchers have been able to stimulate the growth of nerves not located in the spinal cord by using only nerve-growth stimulants. (E) Deactivating the substances inhibiting nerve growth for an extended period would require a steady supply of antibodies.
  12. Many consumers are concerned about the ecological effects of wasteful packaging. This concern probably explains why stores have been quick to stock new cleaning products that have been produced in a concentrated form. The concentrated form is packaged in smaller containers that use less plastic and require less transportation space. Which of the following, if true, most seriously undermines the explanation offered above? (A) Few consumers believe that containers of concentrated cleaning products are merely small packages of regular cleaning products. (B) The containers in which concentrated cleaning products are packaged are no harder to recycle than those in which regular cleaning products are packaged. © Those concentrated cleaning products that are intended to be used diluted have clear instructions for dilution printed on their labels. (D) The smaller containers of concentrated cleaning products enable supermarkets and drugstores to increase their revenues from a given shelf space. (E) Consumer pressure has led to the elimination of wasteful cardboard packaging that was used for compact discs
  13. In the United States, vacationers account for more than half of all visitors to what are technically called “pure aquariums” but for fewer than one quarter of all visitors to zoos, which usually include a “zoo aquarium” of relatively modest scope. Which of the following, if true, most helps to account for the difference described above between visitors to zoos and visitors to pure aquariums? (A) In cities that have both a zoo and a pure aquarium, local residents are twice as likely to visit the aquarium as they are to visit the zoo. (B) Virtually all large metropolitan areas have zoos, whereas only a few large metropolitan areas have pure aquariums. © Over the last ten years, newly constructed pure aquariums have outnumbered newly established zoos by a factor of two to one. (D) People who visit a zoo in a given year are two times more likely to visit a pure aquarium that year than are people who do not visit a zoo. (E) The zoo aquariums of zoos that are in the same city as a pure aquarium tend to be smaller than the aquariums of zoos that have no pure aquarium nearby
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