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OG15 OG16 OG17 OG18	In the figure above, triangle ABC is equilateral, and point P is equidistant from vertices A, B, and C. If triangle ABC is rotated clockwise about point P, what is the minimum number of degrees the triangle must be rotated so that point B will be in the position where point A is now?
OG12 OG15 OG16 OG17 OG18	At least $$\frac{2}{3}$$ of the 40 members of a committee must vote in favor of a resolution for it to pass. What is the greatest number of members who could vote against the resolution and still have it pass?
OG18 OG19 OG20 OG2022	The graph shows the number of computers assembled during each of 6 consecutive days. From what day to the next day was the percent change in the number of computers assembled the greatest in magnitude?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If n = 20! + 17,then n is divisible by which of the following?I.15II.17III.19
OG17 OG18 OG19 OG20 OG2022	The product of two negative numbers is 160. If the lesser of the two numbers is 4 less than twice the greater, what is the greater number?
OG16 OG17 OG18 OG19 OG20 OG2022	According to a certain estimate, the depth N(t), in centimeters, of the water in a certain tank at t hours past 2:00 in the morning is given by $${N}({t})=-{20}({t}-{5})^{2}+{500}$$ for $$0 \leq t \leq 10$$. According to this estimate, at what time in the morning does the depth of the water in the tank reach its maximum?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	After driving to a riverfront parking lot, Bob plans to run south along the river, turn around, and return to the parking lot, running north along the same path. After running 3.25 miles south, he decides to run for only 50 minutes more. If Bob runs at a constant rate of 8 minutes per mile, how many miles farther south can he run and still be able to return to the parking lot in 50 minutes?
OG16 OG17 OG18 OG19 OG20 OG2022	Alex deposited x dollars into a new account that earned 8 percent annual interest, compounded annually. One year later Alex deposited an additional x dollars into the account. If there were no other transactions and if the account contained w dollars at the end of two years, which of the following expresses x in terms of w ?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	M is the sum of the reciprocals of the consecutive integers from 201 to 300, inclusive. Which of the following is true?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Working simultaneously at their respective constant rates, Machines A and B produce 800 nails in x hours. Working alone at its constant rate, Machine A produces 800 nails in y hours. In terms of x and y, how many hours does it take Machine B, working alone at its constant rate, to produce 800 nails?
OG12 OG15 OG16 OG17 OG18	In the Johnsons' monthly budget, the dollar amounts allocated to household expenses, food, and miscellaneous items are in the ratio 5:2:1, respectively. If the total amount allocated to these three categories is $1,800, what is the amount allocated to food?
OG17 OG18 OG19 OG20 OG2022	If $$\frac1 3$$ of the total number of marbles in the three bags listed in the table above are blue, how many marbles are there in bag Q?
OG12 OG15 OG16 OG17 OG18	$$\frac{(0.0036)(2.8)}{(0.04)(0.1)(0.003)}=$$
OG12 OG15 OG16 OG17 OG18	If n is an integer greater than 6, which of the following must be divisible by 3?
OG18 OG19 OG20 OG2022	The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if m is the median age, in years, of the employees at Company X, then m must satisfy which of the following ?
OG16 OG17 OG18 OG19 OG20 OG2022	If x and y are positive numbers such that x + y = 1, which of the following could be the value of 100x + 200y?I. 80II. 140III. 199
OG18 OG19 OG20 OG2022	If X is the hundredths digit in the decimal 0.1X and if Y is the thousandths digit in the decimal 0.02Y, where X and Y are nonzero digits, which of the following is closest to the greatest possible value of $$\frac{0.1X}{0.02Y}$$?
OG18 OG19 OG20 OG2022	Clarissa will create her summer reading list by randomly choosing 4 books from the 10 books approved for summer reading. She will list the books in the order in which they are chosen. How many different lists are possible?
OG16 OG17 OG18	If n is a positive integer and the product of all the integers from 1 to n, inclusive, is divisible by 990, what is the least possible value of n?
OG17 OG18 OG19 OG20 OG2022	The probability that event M will not occur is 0.8 and the probability that event R will not occur is 0.6. If events M and R cannot both occur, which of the following is the probability that either event M or event R will occur?