题库 | 考满分，百万出国党的口碑之选。

序号	题目内容
181	If $$\frac{1}{2}$$ of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes?
182	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 ?
183	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?
184	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?
185	If p is an even integer and q is an odd integer, which of the following must be an odd integer?
186	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?
187	if x > 0,$$\frac{x}{50}+\frac{x}{25}$$ is what percent of x ?
188	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
189	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?
190	What is the units digit of $$({13})^{4}({17})^{2}({29})^{3}$$?
191	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?
192	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?
193	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?
194	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 ?
195	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?
196	In the table above, what is the number of green marbles in Jar R ?
197	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?
198	If n = 4p, where p is a prime number greater than 2, how many different positive even divisors does n have, including n ?
199	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?
200	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?

序号

题目内容

181

If $$\frac{1}{2}$$ of the air in a tank is removed with each stroke of a vacuum pump, what fraction of the original amount of air has been removed after 4 strokes?

182

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 ?

183

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?

184

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?

185

If p is an even integer and q is an odd integer, which of the following must be an odd integer?