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OG19-定量推理 The expression n! is defined as the product of the integers from 1 through n. If p is the product of the integers from 100 through 299 and q is the product of the integers from 200 through 299, which of the following is equal to $$\frac{p}{q}$$?
OG19-定量推理 A school club plans to package and sell dried fruit to raise money. The club purchased 12 containers of dried fruit, each containing $$16\frac{3}{4}$$ pounds. What is the maximum number of individual bags of dried fruit, each containing $$\frac{1}{4}$$ pounds, that can be sold from the dried fruit the club purchased?
OG19-数学分册 A nursery sells fruit trees priced as shown in the chart above. In its inventory 54 trees are less than 5 feet in height. If the expected revenue from the sale of its entire stock is estimated at $2,450, approximately how much of this will come from the sale of trees that are at least 5 feet tall?
OG19-定量推理 The sequence $$a_{1}$$, $$a_{2}$$, $$a_{3}$$, $$a_{4}$$,$$a_{5}$$ is such that $$a_{n}=a_{n-1}+5$$ for $$2\leq n\leq 5$$. If$$ a_{5} = 31$$, what is the value of $$a_{1}$$ ?
OG19-定量推理 A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this bridge at a constant speed of 20 miles per hour? (1 mile= 5,280 feet)
OG19-定量推理 If S = {0, 4, 5, 2, 11, 8), how much greater than the median of the numbers in S is the mean of the numbers in S ?
OG19-定量推理 The annual interest rate earned by an investment increased by 10 percent from last year to this year. If the annual interest rate earned by the investment this year was 11 percent, what was the annual interest rate last year?
OG19-定量推理 A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2 liters and 6 liters, respectively, such that both containers will be filled to the same percent of their respective capacities. What amount of gasoline, in liters, must be poured into the 6-liter container?
OG19-定量推理 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?
OG19-数学分册 In the figure above, what is the area of triangular region BCD?
OG19-定量推理 What is the larger of the 2 solutions of the equation $$x^{2} - 4x = 96$$?
OG19-定量推理 Of the goose eggs laid at a certain pond,$$\frac{2}{3}$$ hatched, and $$\frac{3}{4}$$ of the geese that hatched from those eggs survived the first month. Of the geese that survived the first month, $$\frac{3}{5}$$ did $$\underline{not}$$ 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?
OG19-定量推理 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. $$x^{2} - 10x +25$$
OG19-定量推理 $$\frac{(39,897)(0.0096)}{198.76}$$ is approximately
OG19-定量推理 If a square region has area n, what is the length of the diagonal of the square in terms of n ?
OG19-定量推理 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 x 2 x 3 and 2 + 2 + 3 = 7. For which of the following integers is the prime sum greater than 35 ?
OG19-定量推理 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?
OG19-定量推理 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 ?
OG19-定量推理 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?
OG19-定量推理 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 $$\underline{uneaten}$$?
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