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Magoosh
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If k is an integer, is k prime? Statement #1: k has fewer than four factorsStatement #2: 150 ≤ k ≤ 200
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Magoosh
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How many paintings does Jill own?(1) If Jill sells 5 of her paintings then she will own fewer than 24 paintings.
(2) If Jill buys 5 more paintings then she will own at least 32 paintings.
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Magoosh
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Is x > y?(1) x - y > 3(2) x + y > 3
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Magoosh
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Let ABC denote the digits of a three-digit number. Is this number divisible by 7?Statement #1: The two-digit number BC is divisible by 7Statement #2: A + B + C = S, and S is divisible by 7
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Magoosh
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w, x and y are positive integers such that w ≤ x ≤ y. If the average (arithmetic mean) of w, x and y is 20, is w > 15 ?
(1) y = 28(2) One of the three numbers is 17
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Magoosh
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In the rectangular coordinate system, line k is defined by the equation x - 2y + n = 0. What is the value of n?(1) The x-intercept of line k is 8.(2) The y-intercept of line k is -4.
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Magoosh
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Sue purchased several identical brooms at Gigamart. If Sue paid a total of $78.30, including 8 percent sales tax, for all of the brooms, what is the price of 1 broom, EXCLUDING sales tax?(1) The sales tax on each broom was $1.16(2) Sue bought 5 brooms at Gigamart.
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Magoosh
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If the average (arithmetic mean) of four different positive integers is greater than 3 and less than 4, what is the range of the four numbers?(1) One number is greater than 7(2) The median of the four numbers is 2.5
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Magoosh
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If x and y are consecutive odd integers such that x < y, what is the value of y + x?(1) The product of xy is negative.(2) The sum x + y is the square of an integer.
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Magoosh
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Working together, Machine A and Machine B can produce a total of 200 widgets in 4 hours. How many hours would it take Machine A, working alone, to produce 200 widgets?(1) Working alone, Machine B takes 5 hours to produce 50 widgets.(2) Machine A can produce 4 widgets in the same amount of time it takes Machine B to produce 1 widget.
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Magoosh
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A certain zoo has mammals and reptiles and birds, and no other animals. The ratio of mammals to reptiles to birds is 11:8:5. How many birds are in the zoo?Statement #1: there are twelve more mammals in the zoo than there are reptilesStatement #2: if the zoo acquired 16 more mammals, the ratio of mammals to birds would be 3:1
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Magoosh
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A group of five friends have $87 dollars among them. Each one only has bills, that is, whole dollar amounts, no coins. Dolores has $29: does she have the most money of the five of them?Statement #1: three of the friends are tied for the median value, and one has two dollars less.Statement #2: two of the friends, Andie and Betty, have a combined amount of $30, and each has more than $5 herself.
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Magoosh
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A length of rope is cut into three different lengths. What is the length of the shortest rope?(1) The combined length of the longest two pieces is 6 feet.(2) The combined length of the shortest two pieces is 3 feet.
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Magoosh
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K is a rectangular solid. What is the volume of K?Statement #1: a diagonal line across the front face of K has a length of 40Statement #2: a diagonal line across the top face of K has a length of 25
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Magoosh
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Given that (a + b) > (c + d), is a > c?Statement #1: a < (c + d)Statement #2: b < d
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Magoosh
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Set K consists of 4 integers. What is the median of K?(1) The average (arithmetic mean) of K is 3.(2) The mode of K is 3.
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Magoosh
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If k = 13.abc6 where a, b and c each represent a digit, what is the value of b?(1) The value k rounded to the nearest hundredth is 13.54(2) The value k rounded to the nearest thousandth is 13.539
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Magoosh
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At the beginning of January 2003, Lisa invested $10,000 in an account that collected interest, compounding monthly. Assume the annual percentage rate of interest remained constant. She withdrew the money, with interest, at the end of December, 2008. What was the annual percentage of interest paid on this account?Statement #1: Lisa earned $61.83 in interest in November, 2003.Statement #2: At the end of December, 2008, Lisa had gained a total of $4176.25 in interest.
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Magoosh
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By abc we denote a three digit number with digits a, b, and c. Is abc divisible by 3?Statement #1: The product of (a) times (b) is a number divisible by 3Statement #2: c = 3
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Magoosh
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At a certain high school, there are three sports: baseball, basketball, and football. Some athletes at this school play two of these three, but no athlete plays in all three. At this school, the ratio of (all baseball players) to (all basketball players) to (all football players) is 15:12:8. How many athletes at this school play baseball?Statement #1: 40 athletes play both baseball and football, and 75 play football only and no other sportStatement #2: 60 athletes play only baseball and no other sport
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