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Magoosh
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In the diagram, AE = 20, AD = 14, CD = 6 and EB = 17. What is the length of line segment BC?Note: Figure not drawn to scale
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Magoosh
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$$(1\frac{1}{6})$$x$$(1\frac{11}{21})$$=
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Magoosh
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$$9^{k} x 27^{2k} =$$
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Manhattan
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Square ABCD pictured to the right has an area of 9 square inches. Sides AD and BC are lengthened to x inches each. By how many inches were sides AD and BC lengthened?(1) The diagonal of the resulting rectangle measures 5 inches.(2) The resulting rectangle can be cut into three rectangles of equal size.
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Manhattan
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Jack pours water into a bucket until the bucket is filled to 60% of its capacity. Jill then fills the bucket to capacity by pouring an additional $$\frac{2}{3}$$ of a gallon of water into the bucket. What is the capacity of the bucket, in gallons?
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Manhattan
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A recycling facility is staffed by eight floor workers and one manager. All of the floor workers are paid equal wages, but the manager is paid q times as much as a floor worker. If the manager's wages account for$$\frac {1}{7} $$of all wages paid at the facility, what is the value of q?
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Manhattan
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Is $$\frac n{14}$$ an integer?(1) n is divisible by 28.(2) n is divisible by 70.
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Manhattan
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$$\frac{49+49}{49+49^{2}}$$=
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Manhattan
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Is $$xy \gt 0$$?(1) $$x^2 \gt 0$$(2) $$xy^2 \gt 0$$
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Manhattan
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Wendy, Jim, and Pedro are golfing. Collectively, they have 24 golf balls. How many golf balls does Jim have?(1) Jim has $$\frac{1}{5}$$ of the number of golf balls that Wendy and Pedro have combined.(2) Pedro and Wendy collectively have $$\frac{5}{6}$$ of the golf balls.
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Manhattan
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If $$abcd \neq 0$$, is $$ab^2c^3d^4 < 0$$?(1) $$ab^2c^3 < 0$$(2) $$b^2c^3d^4 < 0$$
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Manhattan
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If x is an integer, is $$x^{3}$$ even?(1) $$2x + 2$$ is even.(2) $$3x + 1$$ is even.
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Manhattan
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If 3x + 2z = 34, what is the value of z?(1) $$x^{3} = 64$$(2) 5x = z + 9
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Manhattan
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If $$a^2$$ is not equal to $$b^2$$, what is the value of $$\frac{a-b}{a^2-b^2}$$?(1) a + b = 8(2) a – b = 6
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Manhattan
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In the figure to the right is b > a? (Note: Figure not drawn to scale.)(1) a = 35(2) a < 60
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Manhattan
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What is the value of a – 2?(1) a – 2 > 1(2) a + 2 = 6
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Is the hundredths digit of the decimal d greater than 5?(1) The tenths digit of 10d is 7.(2) The thousandths digit of 10 d is 7.
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OG18 OG19 OG20 OG2022
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Air traffic routes over the North Pole are currently used by only two or three planes a day, but it was found by a joint Canadian-Russian study to be both feasible as well as desirable if those routes are opened to thousands more commercial planes a year.
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OG18 OG19 OG20 OG2022
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Unlike the virginal, whose single set of strings runs parallel to the front edge of the instrument, the harpsichord's several sets of strings are placed at right angles to its front edge.
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OG18 OG19 OG20 OG2022
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Employing many different techniques throughout his career, Michelangelo produced a great variety of art works, including paintings, for example, in the Sistine Chapel, to sculpture, for example, the statue of David.
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