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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?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The total cost for Company X to produce a batch of tools is $10,000 plus $3 per tool. Each tool sells for $8. The gross profit earned from producing and selling these tools is the total income from sales minus the total production cost. If a batch of 20,000 tools is produced and sold, then Company X's gross profit per tool is
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If Q is an odd number and the median of Q consecutive integers is 120, what is the largest of these integers?
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A ladder of a fire truck is elevated to an angle of 60° and extended to a length of 70 feet. If the base of the ladder is 7 feet above the ground, how many feet above the ground does the ladder reach?
OG17 OG18 OG19 OG20 OG2022	The window in the figure above consists of a rectangle and a semicircle with dimensions as shown. What is the area, in square feet, of the window?
OG17 OG18 OG19 OG20 OG2022	If there are fewer than 8 zeros between the decimal point and the first nonzero digit in the decimal expansion of $$(\frac{t}{1000})^{4}$$, which of the following numbers could be the value of t?I. 3II. 5III. 9
OG16 OG17 OG18 OG19 OG20 OG2022	A three-digit code for certain logs uses the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 according to the following constraints. The first digit cannot be 0 or 1, the second digit must be 0 or 1, and the second and third digits cannot both be 0 in the same code. How many different codes are possible?
OG17 OG16 OG18 OG19 OG20 OG2022	Jackie has two solutions that are 2 percent sulfuric acid and 12 percent sulfuric acid by volume, respectively. If these solutions are mixed in appropriate quantities to produce 60 liters of a solution that is 5 percent sulfuric acid, approximately how many liters of the 2 percent solution will be required?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If Jake loses 8 pounds, he will weigh twice as much as his sister. Together they now weigh 278 pounds. What is Jake's present weight, in pounds?
OG18 OG19 OG20 OG2022	For each student in a certain class, a teacher adjusted the student`s test score using the formula y = 0.8x + 20, where x is the student`s original test score and y is the student`s adjusted test score. If the standard deviation of the original test scores of the students in the class was 20, what was the standard deviation of the adjusted test scores of the students in the class?
OG17 OG18 OG19 OG20 OG2022	Last year 26 members of certain club traveled to England, 26 members traveled to France, and 32 members traveled to Italy. Last year no members of the club traveled to both England and France, 6 members traveled to both England and Italy, and 11 members traveled to both France and Italy. How many members of the club traveled to at least one of these three countries last year?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A store reported total sales of $385 million for February of this year. If the total sales for the same month last year was $320 million, approximately what was the percent increase in sales?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	When positive integer x is divided by positive integer y, the remainder is 9. If $$\frac x y=96.12$$, what is the value of y?
OG18 OG19 OG20 OG2022	If x (2x + 1) = 0 and (x + $$\frac{1}{2}$$)(2x - 3) = 0, then x =
OG16 OG17 OG18 OG19 OG20 OG2022	Figures X and Y above show how eight identical triangular pieces of cardboard were used to form a square and a rectangle, respectively. What is the ratio of the perimeter of X to the perimeter of Y?
OG17 OG18 OG19 OG20 OG2022	A certain experimental mathematics program was tried out in 2 classes in each of 32 elementary schools and involved 37 teachers. Each of the classes had 1 teacher and each of the teachers taught at least 1, but not more than 3, of the classes. If the number of teachers who taught 3 classes is n, then the least and greatest possible values of n, respectively, are
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	For the positive numbers, n, n + 1, n + 2, n + 4, and n + 8, the mean is how much greater than the median
OG16 OG17 OG18 OG19 OG20 OG2022	The interior of a rectangular carton is designed by a certain manufacturer to have a volume of x cubic feet and a ratio of length to width to height of 3:2:2. In terms of x, which of the following equals the height of the carton, in feet?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The present ratio of students to teachers at a certain school is 30 to 1. If the student enrollment were to increase by 50 students and the number of teachers were to increase by 5, the ratio of students to teachers would then be 25 to 1. What is the present number of teachers?
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the smallest integer n for which $${25}^{n} >{5}^{12}$$ ?