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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
OG16 OG17 OG18 OG19 OG20 OG2022	The parallelogram shown has four sides of equal length. What is the ratio of the length of the shorter diagonal to the length of the longer diagonal?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which $$3^k$$ is a factor of p?
OG15 OG16 OG17	If $${n}={3}^{8}-{2}^{8}$$, which of the following is NOT a factor of n ?
OG16 OG17 OG18 OG19 OG20 OG2022	In the figure shown, if the area of the shaded region is 3 times the area of the smaller circular region, then the circumference of the larger circle is how many times the circumference of the smaller circle?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Club X has more than 10 but fewer than 40 members. Sometimes the members sit at tables with 3 members at one table and 4 members at each of the other tables, and sometimes they sit at tables with 3 members at one table and 5 members at each of the other tables. If they sit at tables with 6 members at each table except one and fewer than 6 members at that one table, how many members will be at the table that has fewer than 6 members?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In order to complete a reading assignment on time, Terry planned to read 90 pages per day. However, she read only 75 pages per day at first, leaving 690 pages to be read during the last 6 days before the assignment was to be completed. How many days in all did Terry have to complete the assignment on time?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	if $$s >0$$ and $$\sqrt{\frac{r}S}=s$$,what is r in terms of s ?
OG12 OG15 OG16 OG17	If a=-0.3 which of the following is true?
OG12 OG15 OG16 OG17	Mary's income is 60 percent more than Tim's income, and Tim's income is 40 percent less than Juan's income. What percent of Juan's income is Mary's income?
OG12 OG15 OG16 OG17	Each · in the mileage table above represents an entry indicating the distance between a pair of the five cities. If the table were extended to represent the distances between all pairs of 30 cities and each distance were to be represented by only one entry, how many entries would the table then have?
OG12 OG15 OG16 OG17	The ratio of the length to the width of a rectangular advertising display is approximately 3.3 to 2. If the width of the display is 8 meters, what is the approximate length of the display, in meters?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If 3 < x < 100, for how many values of x is $$\frac{x}{3}$$the square of a prime number?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A researcher plans to identify each participant in a certain medical experiment with a code consisting of either a single letter or a pair of distinct letters written in alphabetical order. What is the least number of letters that can be used if there are 12 participants, and each participant is to receive a different code?
OG16 OG17 OG18 OG19 OG20 OG2022	The graph of which of the following equations is a straight line that is parallel to line l in the figure above?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	An object thrown directly upward is at a height of h feet after t seconds, where $${h}=-{16}({t}-{3})^{2}+{150}$$. At what height, in feet, is the object 2 seconds after it reaches its maximum height?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Which of the following is equivalent to the pair of inequalities x + 6>10 and $$x-3\le5$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	David has d books, which is 3 times as many as Jeff and $$\frac{1}{2}$$ as many as Paula. How many books do the three of them have altogether, in terms of d
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	There are 8 teams in a certain league and each team plays each of the other teams exactly once. If each game is played by 2 teams, what is the total number of games played?
OG12 OG15 OG16 OG17	An operation ◎ is defined by the equation a◎b=(a-b)/(a+b), for all numbers a and b such that a ≠ -b. If a ≠ -c and a ◎ c = 0, then c =