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Magoosh
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If the area of the outer square is $$4x^{2}$$, then the area of the inner square is
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Magoosh
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 In the diagram above, angle C = 90º and AC = BC. Point M is the midpoint of AB. Arc AXB has its center at C, and passes through A and B. Arc AYB has its center at M and passes through A and B. The shaded region between the two arcs is called a "lune." What is the ratio of the area of the lune to the area of triangle ABC?
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Magoosh
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$$(1\frac{4}{5})^{2}$$=
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Magoosh
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If points A and B are randomly placed on the circumference of a circle with radius 2, what is the probability that the length of chord AB is greater than 2?
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Magoosh
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There are 10 people in a room. If each person shakes hands with exactly 3 other people, what is the total number of handshakes?
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Magoosh
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When a company places a wholesale order on coffee cups with the company logo, they pay $692 for 80 cups. When Phil wants to buy just one such cup, it costs him $12.50. How much above the wholesale price per cup is he paying?
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Magoosh
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If 4x = 14 and xy = 1 then y =
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Magoosh
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In the game of Dubblefud, red chips, blue chips and green chips are each worth 2, 4 and 5 points respectively. In a certain selection of chips, the product of the point values of the chips is 16,000. If the number of blue chips in this selection equals the number of green chips, how many red chips are in the selection?
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Magoosh
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If n = 2*3*5*7*11*13*17, then which of the following statements must be true?I. $$n^{2}$$ is divisible by 600
II. n + 19 is divisible by 19III.$$\frac{n+4}{2}$$ is even
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Magoosh
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$$10^{x} + 10^{y} + 10^{z} = n$$, where x, y, and z are positive integers. Which of the following could be the total number of zeroes, to the left of the decimal point, contained in n? I. x + yII. y – zIII. z
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Magoosh
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If x + |x| + y = 7 and x + |y| - y = 6 , then x + y =
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Magoosh
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Two sides of a triangle have length 6 and 8. Which of the following are possible areas of the triangle? I. 2 II. 12 III. 24
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Magoosh
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Car A and B started at different times from Town X and travel to Town Y on the same route at different constant speeds. Car A was initially behind Car B, but Car A was faster. Car A passed Car B at 1:30 pm. At 3:15 pm, Car A reached Town Y, and at that moment, Car B was still 35 miles away from Town Y. The time Car B took to complete the trip from Town X to Town Y was 25% more than the time that Car A took. What is the speed of Car A?
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Magoosh
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In the x-y plane, point (p, q) is a $$\mathbf {lattice}$$ $$\mathbf {point}$$ if both p and q are integers. Circle C has a center at (–2, 1) and a radius of 6. Some points, such as the center (–2, 1), are inside the circle, but a point such as (4, 1) is $$\mathbf {on}$$ the circle but not $$\mathbf {in}$$ the circle. How many lattice points are in circle C?
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Magoosh
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Next October, the commission's delegation will visit the Prince of Westphalia, contributing the largest amounts to the commission since 1997.
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Magoosh
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McCray's Dairy Industries stands to reap tremendous profits in the coming year. The new milking apparatus and packing equipment purchased and installed last year allows McCray's to produce the same quantity of dairy products at less than one third of the previous cost. Restaurants and academic institutions throughout the state will choose to purchase all their dairy products from McCray's, because they will be available at a much lower cost than similar products from rival producers. The argument above assumes which of the following?
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Magoosh
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The example of the sandcastle (in the second paragraph) serves to
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Magoosh
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The author of the passage would disagree with which of the following?
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Magoosh
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While driving from A-ville to B-town, Harriet drove at a constant speed of 115 kilometers per hour. Upon arriving in B-town, Harriet immediately turned and drove back to A-ville at a constant speed of 135 kilometers per hour. If the entire trip took 5 hours, how many minutes did it take Harriet to drive from A-ville to B-town?
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Magoosh
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When positive integer k is divided by 5, the remainder is 2. When k is divided by 6, the remainder is 5. If k is less than 40, what is the remainder when k is divided by 7?
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