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OG19-定量推理 Company K's earnings were $12 million last year. If this year's earnings are projected to be 150 percent greater than last year's earnings, what are Company K's projected earnings this year?
OG19-定量推理 Jonah drove the first half of a 100-mile trip in x hours and the second half in y hours. Which of the following is equal to Jonah's average speed, in miles per hour, for the entire trip?
OG19-定量推理 What is the greatest number of identical bouquets that can be made out of 21 white and 91 red tulips if no flowers are to be left out? (Two bouquets are identical whenever the number of red tulips in the two bouquets is equal and the number of white tulips in the two bouquets is equal.)
OG19-定量推理 In the xy-plane, the points (c,d), (c,-d), and (-c,-d) are three vertices of a certain square. If c < 0 and d > 0, which of the following points is in the same quadrant as the fourth vertex of the square?
OG19-定量推理 If the amount of federal estate tax due on an estate valued at $1.35 million is $437,000 plus 43 percent of the value of the estate in excess of $1.25 million, then the federal tax due is approximately what percent of the value of the estate?
OG19-定量推理 If $$\frac{3}{10^{4}} = x$$%, then x =
OG19-定量推理 What is the remainder when $$3^{24}$$ is divided by 5 ?
OG19-数学分册 In the figure shown, a square grid is superimposed on the map of a park, represented by the shaded region, in the middle of which is a pond, represented by the black region. If the area of the pond is 5,000 square yards, which of the following is closest to the area of the park, in square yards, including the area of the pond?
OG19-定量推理 If the volume of a ball is 32,490 cubic millimeters, what is the volume of the ball in cubic centimeters? (1 millimeter= 0.1 centimeter)
OG19-定量推理 David used part of $100,000 to purchase a house. Of the remaining portion, he invested $$\frac{1}{3}$$ of it at 4 percent simple annual interest and $$\frac{2}{3}$$ of it at 6 percent simple annual interest. If after a year the income from the two investments totaled $320, what was the purchase price of the house?
OG19-定量推理 In the sequence $$x_0$$, $$x_1$$, $$x_2$$, ... , $$x_n$$, each term from $$x_1$$ to $$x_k$$ is 3 greater than the previous term, and each term from $$x_k+1$$ to $$x_n$$ is 3 less than the previous term, where n and k are positive integers and k < n. If $$x_0 = x_{n} = 0 $$ and if $$x_{k} = 15$$ , what is the value of n?
OG19-数学分册 In the figure shown above, line segment QR has length 12, and rectangle MPQT is a square. If the area of rectangular region MPRS is 540, what is the area of rectangular region TQRS ?
OG19-定量推理 A certain manufacturer sells its product to stores in 113 different regions worldwide, with an average (arithmetic mean) of 181 stores per region. If last year these stores sold an average of 51,752 units of the manufacturer's product per store, which of the following is closest to the total number of units of the manufacturer's product sold worldwide last year?
OG19-定量推理 Andrew started saving at the beginning of the year and had saved $240 by the end of the year. He continued to save and by the end of 2 years had saved a total of $540. Which of the following is closest to the percent increase in the amount Andrew saved during the second year compared to the amount he saved during the first year?
OG19-定量推理 Two numbers differ by 2 and sum to S. Which of the following is the greater of the numbers in terms of S ?
OG19-数学分册 The figure shown above consists of three identical circles that are tangent to each other. If the area of the shaded region is $$64\sqrt{3} - 32\pi$$, what is the radius of each circle?
OG19-定量推理 In a numerical table with 10 rows and 10 columns, each entry is either a 9 or a 10. If the number of 9s in the nth row is $$n - 1$$ for each n from 1 to 10, what is the average (arithmetic mean) of all the numbers in the table?
OG19-定量推理 A positive integer n is a perfect number provided that the sum of all the positive factors of n, including 1 and n, is equal to 2n. What is the sum of the reciprocals of all the positive factors of the perfect number 28 ?
OG19-定量推理 The infinite sequence $${a}_{1}$$, $${a}_{2}$$,..., $${a}_{n}$$,... is such that $${a}_{1}={2}$$, $${a}_{2}=-{3}$$, $${a}_{3}={5}$$, $${a}_{4}=-{1}$$, and $${a}_{n}={a}_{n-4}$$ for $$n > 4$$. What is the sum of the first 97 terms of the sequence?
OG19-定量推理 The infinite sequence $$a_1$$, $$a_2$$, ... , $$a_n$$, ... is such that $$a_1 = 2$$, $$a_2 = -3$$, $$a_3 = 5$$, $$a_4 = -1$$, and $$a_n = a_{n-4}$$ for n > 4. What is the sum of the first 97 terms of the sequence?
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