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Magoosh
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In the xy-coordinate system, the distance between the point (0,0) and point P is$$\sqrt{40}$$ . Which of the following could be the coordinates of point P?
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Magoosh
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Dolphins can swim at high speeds and achieve high acceleration in the water. In 1936, Sir James Gray calculated the force dolphins should be able to exert based on their physiology. He concluded that the propulsive force they were able to exert was not enough to explain how fast they swim and accelerate. In the 2000s, experimenters used special computer-enhanced measurements of the water in which dolphins were swimming. Through mathematical modeling, they were able to measure the force dolphins exert with their tails. As it turns out, dolphins exert considerably more force with their tails than Sir James Gray or anybody else ever expected. Therefore, the force exerted by their tails easily explains how fast they swim and accelerate.In the argument, the two portions in boldface play which of the following roles?
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Magoosh
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If x is a positive integer and x+2 is divisible by 10, what is the remainder when$$ x^{2}+4x+9$$ is divided by 10?
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Magoosh
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From 2005 to 2009, over 80% of graduates from Zenith University were able to secure employment within their first six weeks of graduation. Prospective engineering students should therefore choose Zenith University, if they want to be employed within six weeks of graduating.
Which of the following, if true, would most strengthen the argument?
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Magoosh
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A soccer league is divided into a junior and a senior division, separated not by age but by a player's skill level. This year, to determine the division for which an aspirant is best qualified, the league held a week-long trial, after which coach A and coach B selected players. Coach A nominated sixteen of the forty players for the senior league. Amongst Coach B's nominations for the senior division were four players not nominated by Coach A. Therefore, there will be twenty players in the senior division.Which of the following, if true, provides the strongest basis for the conclusion above to be warranted?
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Magoosh
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Economic analysts, noting the sharp increase in ADHD-related disability claims over the past decade, have posited an epidemic of ADHD among younger generations. These analysts, though, ignore advances in psychoanalytical classifications. ADHD is now listed as an official psychiatric disorder in the DSM-5, whereas those with ADHD were simply treated as undisciplined and irresponsible in the past. Therefore, a greater number of serious cases are recommended now for disability, because Human Resources workers are more likely to identify these behavior patterns as ADHD. Which of the following, if true, provides the most support for the argument?
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Magoosh
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A luxury apartment condo recently opened up along the Biltmore's waterfront. Within the first two months, 80% of the standard units in the first ten of the condo's twelve stories were sold. Nonetheless, only two of the eight penthouses, all of which are located in the top two stories of the building, have sold. In order to sell the remaining six penthouses, the corporation that owns the property, should drop the rate of the penthouses by 20%.Which of the following, if true, would argue against the proposal above?
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Magoosh
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If 3x = 2y = 5, then$$ 24xy^{2} =$$
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Magoosh
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Appleton's population is 400 greater than Berryville's population. If Berryville's population were reduced by 900 people, then Appleton's population would be 3 times as large as Berryville's population. What is Berryville's current population?
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Magoosh
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0.000125 =
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Magoosh
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If 100,000 microns = 1 decimeter, and 1,000,000,000 angstroms = 1 decimeter, how many angstroms equal 1 micron?
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Magoosh
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Machine A can make 350 widgets in 1 hour, and machine B can make 250 widgets in 1 hour. If both machines work together, how much time will it take them to make a total of 1000 widgets?
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Magoosh
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Metropolitan Concert Hall was half full on Tuesday night. How many seats are in the Hall?Statement #1: If the number of people in the Hall increased by 20% from Tuesday night to Wednesday night, then the Hall would be 60% full on Wednesday night.Statement #2: If 20 more people showed up on Tuesday night, that would have increased the number of people in the Hall by 4%.
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Magoosh
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The symbol Ω represents one of the following operations: addition, subtraction, multiplication or division. What is the value of 1 Ω 1?(1) 2 Ω 2 = 4(2) 0 Ω 1 = 0
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Magoosh
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The Cyclepaths Bicycle Factory has 300 bicycles in stock. The bicycles are either blue or red, and they come in two sizes: large and small. If 175 of the bicycles are blue, and 140 are large, how many are both blue and large?(1) There 90 small red bicycles.(2) There are twice as many small blue bicycles as there are large red bicycles.
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Magoosh
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A box contains bags of marbles. All of the bags hold the same number of marbles except one bag, which holds one marble more than each of the other bags hold. If the box contains a total of 2001 marbles, how many bags are in the box?(1) The number of bags is between 13 and 23 inclusive(2) There is an even number of bags, and there is an even number of marbles in the bag containing the extra marble.
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Magoosh
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In a certain group, the average (arithmetic mean) age of the males is 28, and the average age of the females is 30. If there are 100 people in the group, how many of them are males?(1) The average age of all 100 people is 28.9
(2) There are 10 more males than there are females.
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Magoosh
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Bert has exactly $1.37 of loose change in his pocket, including at least one of each: a penny ($0.01), a nickel ($0.05), a dime ($0.10), and a quarter ($0.25). He reaches into his pocket and pulls out one coin at random. What is the probability that the coin is a nickel?Statement #1: There are exactly seven pennies in his pocketStatement #2: There are exactly three quarters in his pocket
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Magoosh
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If a student is selected at random from Learngood Elementary, what is the probability that the student will be a boy?(1) There are 480 students at Learngood.(2) At Learngood, the ratio of boys to girls is 7 : 5
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Magoosh
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M is a rectangular solid. What is the volume of M?Statement #1: The bottom face of M has an area of 28, and the front face, an area of 35.Statement #2: All three dimensions of M are positive integers greater than one.
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