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Lists S and T consist of the same number of positive integers. Is the median of the integers in S greater than the average (arithmetic mean) of the integers in T?(1) The integers in S are consecutive even integers, and the integers in T are consecutive odd integers.(2) The sum of the integers in S is greater than the sum of the integers in T.
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PREP07 Test 1
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What is the total value of Company H's stock?(1) Investor P owns 1/4 of the shares of Company H's total stock.(2) The total value of Investor Q's shares of Company H's stock is $16,000.
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If x< 0, then $$\sqrt{-x|x|}$$ is
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OG16 OG17 OG18 OG19 OG20 OG2022
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S is a set of points in the plane. How many distinct triangles can be drawn that have three of the points in S as vertices?(1) The number of distinct points in S is 5.(2) No three of the points in S are collinear.
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 If $${l}_{1} \| {l}_{2}$$ in the figure above, is x = y? (1) $$p\|r$$ and $$r\|t$$ (2) $$q\|s$$
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If x>0.9, which of the following could be the value of x?
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If the integer k is a multiple of 3, which of the following is also a multiple of 3 ?
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A solid yellow stripe is to be painted in the middle of a certain highway. If 1 gallon of paint covers an area of p square feet of highway, how many gallons of paint will be needed to paint a stripe t inches wide on a stretch of highway m miles long? (1 mile = 5,280 feet and 1 foot = 12 inches)
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If $${4x}<{x}<{x^3}<{x^2}$$, which of the following is a possible value of x ?
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If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?(1) Antonio paid the regular price for the first carton and received the second carton for half the regular price.(2) The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.
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OG16 OG17 OG18 OG19 OG20 OG2022
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What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?(1) $$\frac{1}{3}$$ of the wallets had a selling price of $24 each.(2) The lowest selling price of the wallets was $$\frac{1}{3}$$ the highest selling price of the wallets.
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OG16 OG17 OG18 OG19 OG20 OG2022
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In a box of 12 pens, a total of 3 are defective. If a customer buys 2 pens selected at random from the box, what is the probability that neither pen will be defective?
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Which of the following is closest in value to $${9}^{9}-{9}^{2}$$ ?
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For all numbers x, the function f is defined by f(x) = 3x + 1 and the function g is defined by g(x) = $$\frac{x-1}{3}$$ . If c is a positive number, what is the value of g(c)?(1) f(c) = 13(2) f(1) = c
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What is the value of $$({2}{x}-{5})^{3}$$ ? (1) $$({2}{x})^{3}={216}$$ (2) $$({2}{x}+{3})^{2}={81}$$
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Is x >5 ? (1) $${x}^{2} >{25}$$ (2) 2x+7 >0
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OG16 OG17 OG18 OG19 OG20 OG2022
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Pumping alone at their respective constant rates, one inlet pipe fills an empty tank to $$\frac{1}{2}$$ of capacity in 3 hours and a second inlet pipe fills the same empty tank to $$\frac{2}{3}$$ of capacity in 6 hours. How many hours will it take both pipes, pumping simultaneously at their respective constant rates, to fill the empty tank to capacity?
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A certain company's profit in 1996 was 15 percent greater than its profit in 1995, and its profit in 1997 was 20 percent greater than its profit in 1996. The company's profit in 1997 was what percent greater than its profit in 1995?
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GWD
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The total market value of real estate in Altonville has steadily declined over the past four years. This decline has meant that the overall figure on which the city's property tax is based - the assessed value of that real estate - has also declined. Moreover, the percentage of assessed value that was paid as property taxes to the city did not change during this period.The information above most strongly supports which of the following?
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 In ΔPQR above, what is the value of y?(1) (3/2)x = 120(2) x + y = 100
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