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Manhattan
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If$$ [[x]] = x^{2} + 2x + 4$$, what is the value of [[3]]?
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Manhattan
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Which of the following has a value greater than 1?
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Manhattan
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Each of the following numbers has a remainder of 2 when divided by 11 except:
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Manhattan
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The longevity of a certain metal construction is determined by the following formula: $$l = {(7.5 – x)}^{4} + 8.97^{c}$$, where l is the longevity of the construction, in years, x is the density of the underlying material, in $$\frac{g}{cm^{3}}$$, and c is a positive constant equal to 1.05 for this type of metal constructions. For what value of density, x, expressed in $$\frac{g}{cm^{3}}$$, will the metal construction have minimal longevity?
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Manhattan
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What is the value of $$3^{x-y}$$ ?
(1) $$3^{x+1} = 243$$
(2) $$3^{y–1} = 27$$
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Manhattan
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What is the area of circle O?(1) The circumference of circle O measures $$24\pi$$ inches.(2) The diameter of circle O measures 24 inches.
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Manhattan
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How many units long is the straight line segment that connects the points (-1,1) and (2,6) on a rectangular coordinate plane?
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Manhattan
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If the side length of Square B is twice that of Square A, the area of Square B is how many times the area of Square A?
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Manhattan
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Given the figure to the right, what is $$y_2$$?(1) $$y_1$$ is 1.5(2) $$x_1$$ is -2
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Manhattan
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There are X girls in a class, and their average height is M inches. In the same class, there are Y boys with an average height of N inches. What is the average height of all the students in the class?
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Manhattan
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What is the slope of the line represented by the equation x + 2y = 1?
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Manhattan
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Two buses and a van were employed to transport a class of students on a field trip. $$\frac{3}{5}$$ of the class boarded the first bus. $$\frac{2}{3}$$ of the remaining students boarded the second bus, and the rest of the students boarded the van. When the second bus broke down,$$\frac{ 1}{2}$$ of the students on the second bus boarded the first bus. What fraction of the class was on board the first bus?
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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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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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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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How many positive integers less than 100 have a remainder of 2 when divided by 13?
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Magoosh
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A popular website requires users to create a password consisting of digits only. If no digit may be repeated and each password must be at least 9 digits long, how many passwords are possible?
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Magoosh
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A marketer bought N crates of empty cardboard gift boxes. Each crate held Q individual gift boxes, and the lot of N crates was purchases at a wholesale price of W dollars. This marketer will sell collections of J cardboard gift boxes to retailers, at a price of P dollars for each collection. (Note: J is a divisor of Q.) The marketer knows that, when he has sold all the cardboard gift boxes this way, he wants to net a total profit of Z dollars on the entire transaction. What price P for these collections must he charge, to net this profit? Express P in terms of N, Q, W, J, and Z.
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Magoosh
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In Aldebaran Corporation, 35% of the managers have an MBA. If there are 42 managers with MBA, what is the total number of managers?
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