Magoosh
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$$9^{k} x 27^{2k} =$$
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Magoosh
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To reach her destination, Jeanette must drive 90 miles. If she drives 5 miles every 7 minutes, how much time will it take her to reach her destination?
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Magoosh
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If f(x) = 5 - 2x and f(3k) = f(k + 1), then f(k) =
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Magoosh
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In a certain class, x students are 10 years old, and the remaining y students are 11 years old. What is the average (arithmetic mean) age of all students in the class?
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Magoosh
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A certain essay consists of 15 paragraphs. Each paragraph contains at least 110 words but not more than 120 words. Which of the following could be the total number of words in the essay?
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Magoosh
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A series is defined, for positive integer n, by$$a_{n}={{n+1}\over{n+3}}-{{n}\over{n+2}}$$
What is the sum of the first 60 terms of this series?
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Magoosh
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Region R is a square in the x-y plane with vertices J = (–1, –2), K = (–1, 4), L = (5, 4), and M = (5, –2). What is the probability that a randomly selected point in region R lies below the line 3x – 5y = 10?
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Magoosh
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If 20 percent of 3k is 6, what is 40 percent of k?
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Magoosh
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On a certain high school athletic team, the ratio of freshmen to sophomores to juniors to seniors is 1:3:4:6. If there are 60 juniors on the team, how many students in total are on the team?
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Magoosh
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In the coordinate plane, rectangular region R has vertices at (0,0), (0,3), (4,3), and (4,0). If a point in region R is randomly selected, what is the probability that the point's y-coordinate will be greater than its x-coordinate?
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Magoosh
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$$({\sqrt{5+\sqrt{5}}-}{\sqrt{5-\sqrt{5}}})^{2}$$=
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Magoosh
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If n is an integer greater than 50, then the expression $$(n^{2} – 2n)(n^{2} – 1)$$ MUST be divisible by which of the following?I. 8II. 12III. 18
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Magoosh
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In the diagram, ∠L = ∠M = 90°, KL = 4, LM = 8, MN = 10, and JN = JK = 13. What is the area of JKLMN?
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Magoosh
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If $$\frac{3x}{2} = y$$, and 2 - 3y = y + 2, then x =
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Magoosh
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At a certain store, one can buy 6 cans of juice for $8. How many cans of this same juice could one buy with $48?
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Magoosh
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At a certain farm the ratio of pigs to cows to chickens is 7:8:10. If the total number of pigs, cows and chickens is 300, how many chickens are there?
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Magoosh
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In 2004, Cindy had $4000 in a mutual fund account. In 2005, the amount in the same account was $5000. If the percent increase from 2004 to 2005 was the same as the percent increase from 2005 to 2006, how much did Cindy have in this account in 2006?
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Magoosh
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$$(3×10^{20})·(3×10^{-5})$$=
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Magoosh
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If x and y are positive integers, and 1 is the greatest common divisor of x and y, what is the greatest common divisor of 2x and 3y?
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Magoosh
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Set Q consists of the following five numbers: Q = {5, 8, 13, 21, 34}. Which of the following sets has the same standard deviation as Set Q?I. {35, 38, 43, 51, 64}II. {10, 16, 26, 42, 68}III. {46, 59, 67, 72, 75}
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