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Magoosh	In a single Epsilon trial, the probability of Outcome T is $$\frac{1}{4}$$. Suppose a researcher conducts a series of n independent Epsilon trials. Let P = the probability that Outcome T occurs at least once in n trials. Is P > $$\frac{1}{2}?$$Statement #1: n > 3Statement #2: n < 6
OG19-数学分册	A triangle has side lengths of a, b, and c centimeters. Does each angle in the triangle measure less than 90 degrees? ( 1) The 3 semicircles whose diameters are the sides of the triangle have areas that are equal to 3 $$cm^{2}$$, 4 $$cm^{2}$$, and 6 $$cm^{2}$$, respectively. (2) c< a + b < c+ 2
181215	There is an even chain hanging on a pulley. The chain is 5 meters long and weighs 4 kilograms. The chain lengths on the left and right sides of the pulley are a and b respectively. b=？ 1: a = 1 m 2: r = 0.3 m
190124 还原机经选题: 文字题&几何	The pulley has three wheels A, B and C. Circle A has a radius of 2. Circle B has a radius of 4. Circle C has a radius of 6. If circle A rotates 1.5 turns counterclockwise, how many turns does circle B and circle C rotate in total?
Ready4	If $xy=xz$ , does $z=<font color='#FE8080'>4</font>$ ? (1) $y=2$ (2) $x$ and $z$ are both positive
Ready4	A treasure hunt competition requires a team of 4 students. There are 6 students who are willing to participate: John, Edward, Milner, Luiz, Howard and Paul. However, Edward and Milner do not want to be on a team together, while Paul only wants to be on a team if Edward is also. How many different teams can be formed?
Ready4	During a particular trip, how much time had elapsed once 90% of the total distance of the trip had been traveled? The total distance of the trip was 40 miles and the total time elapsed was exactly 4 hours. The average speed of the trip was exactly 10 miles per hour.
	A teacher gave the same test to three history classes: A, B, and C. The average (arithmetic mean) scores for the three classes were 65, 80, and 77, respectively. The ratio of the numbers of students in each class who took the test was 4 to 6 to 5, respectively. What was the average score for the three classes combined?
	The ratio of the number of women to the number of men to the number of children in a room is 5:2:7, respectively. What is the total number of people in the room?(1) The total number of women and children in the room is 12.(2) There are fewer than 4 men in the room.
PREP07 Test 1	While working alone at their respective constant rates, computer X processes 240 files in 4 hours and computer Y processes240 files in 8 hours. If all files processed by these computers are the same size, how long would it take the two computers, working at the same time and at their respective constant rates, to process a total of 240 files?
	Thomas poured water into a pitcher that was already $$\frac{1}{4}$$ full of water. How many ounces of water did Thomas pour into the pitcher?(1) Thomas added enough water to fill the pitcher to $$\frac{7}{8}$$ of its capacity.(2) Before Thomas poured the water into the pitcher, the pitcher contained 2 ounces of water.
191020	A survey of 100 people watching TV programs (sports, news and others) shows that 60 people watch sports programs, 35 people watch news programs, 50 people watch other programs, 10 people watch all programs, 5 people watch neither, 4 people watch sports programs and news programs only, 10 people watch news programs and other programs only. How many people watch other programs only?
PREP07 Test 1	Of the 1,000 companies responding to a certain survey, what percent indicated that they had a business recovery plan?(1) 200 of the companies did not indicate that they had a business recovery plan.(2) The number of companies that indicated that they had a business recovery plan was 4 times the number that did not indicate that they had a business recovery plan
OG18-数学分册	How many hours would it take Pump A and Pump B working together, each at its own constant rate, to empty a tank that was initially full?(1) Working alone at its constant rate, Pump A would empty the full tank in 4 hours 20 minutes.(2) Working alone, Pump B would empty the full tank at its constant rate of 72 liters per minute.
OG19-数学分册	How many hours would it take Pump A and Pump B working together, each at its own constant rate, to empty a tank that was initially full? (1) Working alone at its constant rate, Pump A would empty the full tank in 4 hours 20 minutes. (2) Working alone, Pump B would empty the full tank at its constant rate of 72 liters per minute.
OG18-数学分册	In the xy-plane shown, the shaded region consists of all points that lie above the graph of $$y = x^{2} - 4x$$ and below the x- axis. Does the point (a,b) (not show ) lie in the shaded region if b < 0?(1) 0 < a < 4(2) $$a^{2} - 4a < b$$
OG18-数学分册	A square wooden plaque has a square brass inlay in the center, leaving a wooden strip of uniform width around the brass square. If the ratio of the brass area to the wooden area is 25 to 39, which of the following could be the width, in inches, of the wooden strip?I. 1II. 3III. 4
OG20 OG2022	If a building has 6,000 square meters of floor space, how many offices are in the building? 1.Exactly $$\frac{1}{4}$$ of the floor space is not used for offices. 2.There are exactly 20 executive offices and each of these occupies 3 times as much floor space as the average for all of the remaining offices.
	At a sale all books were priced equally and all magazines were priced equally. What was the price of 3 books and 4 magazines at the sale?(1)At the sale the price of a book was $1.45 more than the price of a magazine.(2)At the sale the price of 6 books and 8 magazines was $43.70.
	For each of the following spring break destinations, select Yes if a spring break traveler going for the 4-night package would spend less money by employing the ROWFA strategy -- paying the lowest possible beach house rate outside the waterfront area and paying the non-discounted plane ticket price -- than by reserving a front row beach house in the block. Otherwise, select No.