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OG12	If the two-digit integers M and N are positive and have the same digits, but in reverse order, which of the following CANNOT be the sum of M and N ?
OG12	Car X and Car Y traveled the same 80-mile route. If Car X took 2 hours and Car Y traveled at an average speed that was 50 percent faster than the average speed of Car X, how many hours did it take Car Y to travel the route?
OG12	If the average (arithmetic mean) of the four numbers K, 2K + 3, 3K - 5, and 5K + 1 is 63, what is the value of K?
OG12	If p is an even integer and q is an odd integer, which of the following must be an odd integer?
OG12	Drum X is $$\frac{1}{2}$$ full of oil and Drum Y, which has twice the capacity of Drum X, is $$\frac{2}{3}$$ full of oil. If all of the oil in Drum X is poured into Drum Y, then Drum Y will be filled to what fraction of its capacity?
OG12	if x > 0,$$\frac{x}{50}+\frac{x}{25}$$ is what percent of x ?
OG12	If the operation ? is defined for all a and b by the equation a?b=$${a}^{2}\frac{b}{3}$$, then 2?[3?(-1)] is
OG12	The inside dimensions of a rectangular wooden box are 6 inches by 8 inches by 10 inches. A cylindrical canister is to be placed inside the box so that it stands upright when the closed box rests on one of its six faces. Of all such canisters that could be used, what is the radius, in inches, of the one that has maximum volume?
OG12	What is the units digit of $$({13})^{4}({17})^{2}({29})^{3}$$?
OG12	Pat will walk from Intersection X to Intersection Y along a route that is confined to the square grid of four streets and three avenues shown in the map above. How many routes from X to Y can Pat take that have the minimum possible length?
OG12 OG15 OG16	The ratio, by volume, of soap to alcohol to water in a certain solution is 2:50:100. The solution will be altered so that the ratio of soap to alcohol is doubled while the ratio of soap to water is halved. If the altered solution will contain 100 cubic centimeters of alcohol, how many cubic centimeters of water will it contain?
OG12 OG15	If 75 percent of a class answered the first question on a certain test correctly, 55 percent answered the second question on the test correctly, and 20 percent answered neither of the questions correctly, what percent answered both correctly?
OG12 OG15	In the rectangular coordinate system above, the line y = x is the perpendicular bisector of segment AB (not shown), and the x-axis is the perpendicular bisector of segment BC (not shown). If the coordinates of point A are (2,3), what are the coordinates of point C ?
OG12 OG15 OG16	A store currently charges the same price for each towel that it sells. If the current price of each towel were to be increased by $1, 10 fewer of the towels could be bought for $120, excluding sales tax. What is the current price of each towel?
OG12 OG15 OG16	In the table above, what is the number of green marbles in Jar R ?
OG12	A point on the edge of a fan blade that is rotating in a plane is 10 centimeters from the center of the fan. What is the distance traveled, in centimeters, by this point in 15 seconds when the fan runs at the rate of 300 revolutions per minute?
OG12 OG15 OG16	If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
OG12	I. 72,73,74,75,76II. 74,74,74,74,74III. 62,74,74,74,89The data sets I, II, and III above are ordered from greatest standard deviation to least standard deviation in which of the following?
OG12 OG15 OG16	Of the 50 researchers in a workgroup, 40 percent will be assigned to Team A and the remaining 60 percent to Team B. However, 70 percent of the researchers prefer Team A and 30 percent prefer Team B. What is the lowest possible number of researchers who will NOT be assigned to the team they prefer?
OG12 OG15 OG16	If m is the average (arithmetic mean) of the first 10 positive multiples of 5 and if M is the median of the first 10 positive multiples of 5, what is the value of M-m?