OG18-定量推理
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List S consists of 10 consecutive odd integers, and list T consists of 5 consecutive even integers. If the least integer in S is 7 more than the least integer in T, how much greater is the average (arithmetic mean) of the integers in S than the average of the integers in T ?
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OG18-定量推理
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In the figure above, what is the area of triangular region BCD?
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OG18-定量推理
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What is the larger of the 2 solutions of the equation $$x^{2} − 4x = 96 $$ ?
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OG18-定量推理
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Of the goose eggs laid at a certain pond, $$\frac2 3$$ hatched, and $$\frac3 4$$ of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, $$\frac3 5$$ did not survive the first year. If 120 geese survived the first year and if no more than one goose hatched from each egg, how many goose eggs were laid at the pond?
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OG18-定量推理
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Judy bought a quantity of pens in packages of 5 for $0.80 per package. She sold all of the pens in packages of 3 for $0.60 per package. If Judy’s profit from the pens was $8.00, how many pens did she buy and sell?
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OG18-定量推理
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If $$x^{2} -2x - 15 = 0 and x>0$$, which of the following must be equal to 0 ? I. $$x^{2} - 6x +9$$II. $$x^{2} - 7x +10$$III. $$x^{2} - 10x +25$$
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OG18-定量推理
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$$\frac{(39,897)(0.0096)}{198.76}$$ is approximately
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OG18-定量推理
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If a square region has area n, what is the length of the diagonal of the square in terms of n ?
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OG18-定量推理
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The “prime sum” of an integer n greater than 1 is the sum of all the prime factors of n, including repetitions. For example, the prime sum of 12 is 7, since 12 = 2 × 2 × 3 and 2 + 2 + 3 = 7. For which of the following integers is the prime sum greater than 35 ?
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OG18-定量推理
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Each machine at a toy factory assembles a certain kind of toy at a constant rate of one toy every 3 minutes. If 40 percent of the machines at the factory are to be replaced by new machines that assemble this kind of toy at a constant rate of one toy every 2 minutes, what will be the percent increase in the number of toys assembled in one hour by all the machines at the factory, working at their constant rates?
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OG18-定量推理
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When a subscription to a new magazine was purchased for m months, the publisher offered a discount of 75 percent off the regular monthly price of the magazine. If the total value of the discount was equivalent to buying the magazine at its regular monthly price for 27 months, what was the value of m ?
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OG18-定量推理
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At a garage sale, all of the prices of the items sold were different. If the price of a radio sold at the garage sale was both the 15th highest price and the 20th lowest price among the prices of the items sold, how many items were sold at the garage sale?
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OG18-定量推理
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Half of a large pizza is cut into 4 equal-sized pieces, and the other half is cut into 6 equal-sized pieces. If a person were to eat 1 of the larger pieces and 2 of the smaller pieces, what fraction of the pizza would remain uneaten?
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OG18-定量推理
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If a =$$ 1 +\frac{1}{4} +\frac{1}{16} + \frac{1}{64} $$and b = $$1+ \frac{1}{4}a$$, then what is the value of a-b?
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OG18-定量推理
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In a certain learning experiment, each participant had three trials and was assigned, for each trial, a score of either –2, –1, 0, 1, or 2. The participant’s final score consisted of the sum of the first trial score, 2 times the second trial score, and 3 times the third trial score. If Anne received scores of 1 and –1 for her first two trials, not necessarily in that order, which of the following could NOT be her final score?
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OG18-定量推理
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For all positive integers m and v, the expression m Θ v represents the remainder when m is divided by v. What is the value of ((98Θ33)Θ17)-(98Θ(33Θ17)) ?
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OG18-定量推理
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The chart above shows year-end values for Darnella's investments. For just the stocks, what was the increase in value from year-end 2000 to year-end 2003?
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OG18-定量推理
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If the sum of the reciprocals of two consecutive odd integers is $$\frac{12}{35}$$, then the greater of the two integers is
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OG18-定量推理
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What is the sum of the odd integers from 35 to 85, inclusive?
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OG18-定量推理
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In a certain sequence, each term after the first term is one-half the previous term. If the tenth term of the sequence is between 0.0001 and 0.001, then the twelfth term of the sequence is between
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