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OG16 OG17 OG18 OG19 OG20 OG2022	A certain list consists of 3 different numbers. Does the median of the 3 numbers equal the average (arithmetic mean) of the 3 numbers?(1)The range of the 3 numbers is equal to twice the difference between the greatest number and the median.(2)The sum of the 3 numbers is equal to 3 times one of the numbers.
OG18 OG19 OG20 OG2022	Line $$\ell$$ lies in the xy-plane and does not pass through the origin. What is the slope of line $$\ell$$ ? (1) The x - intercept of line $$\ell$$ is twice the y-intercept of line $$\ell$$. (2) The x-and y-intercepts of line $$\ell$$ are both positive.
OG16 OG17 OG18 OG19 OG20 OG2022	y = ax - 5y = x + 6y = 3x + bIn the xy-plane, the straight-line graphs of the three equations above each contain the point (p,r). If a and b are constants, what is the value of b?(1) a = 2(2) r = 17
OG16 OG17 OG18 OG19 OG20 OG2022	In the figure above, PQR and STU are identical equilateral triangles, and PQ = 6. What is the perimeter of polygon PQWTUVR?(1) Triangle SWV has perimeter 9.(2) VW has length 3.5.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The range of the numbers in set S is x, and the range of the numbers in set Tis y. If all of the numbers in set Tare also in set S, is x greater than y ?(1) Set S consists of 7 numbers(2) Set T consists of 6 numbers
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The hypotenuse of a right triangle is 10 cm. What is the perimeter, in centimeters, of the triangle?(1)The area of the triangle is 25 square centimeters.(2)The 2 legs of the triangle are of equal length.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Six shipments of machine parts were shipped from a factory on two trucks, with each shipment entirely on one of the trucks. Each shipment was labeled either S1, S2, S3, S4, S5 or S6. The table shows the value of each shipment as a fraction of the total value of the six shipments. If the shipments on the first truck had a value greater than 1/2 of the total value of the six shipments, was S3 shipped on the first truck?(1) S2 and S4 were shipped on the first truck.(2) S1 and S6 were shipped on the second truck
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	lf x, y, and z are three-digit positive integers and if x = y+ z, is the hundreds digit of x equal to the sum of the hundreds digits of y and z ?(1) The tens digit of x is equal to the sum of the tens digits of y and z.(2) The units digit of x is equal to the sum of the units digits of y and z.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	The table above shows the results of a survey of 100 voters who each responded "Favorable" or "Unfavorable" or "Not Sure" when asked about their impressions of Candidate M and of Candidate N. What was the number of voters who responded "Favorable" for both candidates?(1)The number of voters who did not respond "Favorable" for either candidate was 40.(2)The number of voters who responded "Unfavorable" for both candidates was 10.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	A school administrator will assign each student in a group of n students to one of m classrooms. If 3 < m < 13 < n, is it possible to assign each of the n students to one of the m classrooms so that each classroom has the same number of students assigned to it?(1)It is possible to assign each of 3n students to one of m classrooms so that each classroom has the same number of students assigned to it.(2)It is possible to assign each of 13n students to one of m classrooms so that each classroom has the same number of students assigned to it.
OG21 OG20 OG2022	At a certain clothing store, customers who buy 2 shirts pay the regular price for the first shirt and a discounted price for the second shirt. The store makes the same profit from the sale of 2 shirts that it makes from the sale of 1 shirt at the regular price. For a customer who buys 2 shirts, what is the discounted price of the second shirt? (1) The regular price of each of the 2 shirts the customer buys at the clothing store is $16. (2) The cost to the clothing store of each of the 2 shirts the customer buys is $12.
OG18 OG19 OG20 OG2022	If q, s, and t are all different numbers, is q < s < t? (1) t - q = \|t - s\| + \|s - q\|(2) t > q
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What is the median number of employees assigned per project for the projects at Company Z?(1)25 percent of the projects at Company Z have 4 or more employees assigned to each project.(2)35 percent of the projects at Company Z have 2 or fewer employees assigned to each project.
OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Last year, a certain company began manufacturing product X and sold every unit of product X that it produced. Last year the company's total expenses for manufacturing product X were equal to $100,000 plus 5 percent of the company's total revenue from all units of product X sold. If the company made a profit on product X last year, did the company sell more than 21,000 units of product X last year?(1) The company's total revenue from the sale of product X last year was greater than $110,000(2) For each unit of product X sold last year, the company's revenue was $5.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Beginning in January of last year, Carl made deposits of $120 into his account on the 15th of each month for several consecutive months and then made withdrawals of $50 from the account on the 15th of each of the remaining months of last year. There were no other transactions in the account last year. If the closing balance of Carl's account for May of last year was $2,600, what was the range of the monthly closing balances of Carl's account last year?(1)Last year the closing balance of Carl's account for April was less than $2,625.(2)Last year the closing balance of Carl's account for June was less than $2,675.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	Are all of the numbers in a certain list of 15 numbers equal?(1)The sum of all the numbers in the list is 60.(2)The sum of any 3 numbers in the list is 12.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If the average (arithmetic mean) of six numbers is 75, how many of the numbers are equal to 75 ?(1)None of the six numbers is less than 75.(2)None of the six numbers is greater than 75.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	What amount did Jean earn from the commission on her sales in the first half of 1988 ?(1)In 1988 Jean's commission was 5 percent of the total amount of her sales.(2)The amount of Jean's sales in the second half of 1988 averaged $10,000 per month more than in the first half.
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	In the figure above, if the area of triangular region D is 4, what is the length of a side of square region A ?(1)The area of square region B is 9.(2)The area of square region C is $$\frac{64}{9}$$
OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022	If n is a positive integer and $$k = {5.1}{10}^{n}$$, what is the value of k ?(1)$$6,000 < k < 500,000$$(2)$${k}^{2}={2.601}{10}^{9}$$