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题目： 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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题目： When positive integer k is divided by 6 the remainder is 3. Which of the following CANNOT be an even integer?

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题目： Which of the following is equivalent to$${2x^2+8x-24}\over{2x^2+20x-48}$$ for all values of x for which both expressions are defined?

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题目： $${\frac{a}{b}+1}\over{\frac{c}{b}}$$ In the expression above, a, b and c are different numbers and each is one of the numbers 2, 3 or 5. What is the greatest possible value of the expression?

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题目： If$$ x^2 - y^2 = 12$$ and x - y = 4, then x =

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题目： In the xy-coordinate system, line k has slope $$\frac{1}{2}$$ and passes through point (0, 5). Which of the following points cannot lie on line k?

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题目： In the county of Veenapaniville, there are a total of 50 high schools, of three kinds: 25 public schools, 16 parochial schools, and 9 private independent schools. These 50 schools are divided between three districts: A, B, and C. District A has 18 high schools total. District B has 17 high schools total, and only two of those are private independent schools. If District C has an equal number of each of the three kinds of schools, how many private independent schools are there in District A?

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题目： If the areas of the 4 squares are 50, 32, 18 and 12, what is the ratio of the small shaded portion to the area of the large shaded portion?Note: Figure not drawn to scale

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题目： In order to qualify for the year-end tennis tournament, Sam must win at least 60 percent of his matches this year. Presently Sam has won 14 of his 18 matches. Of Sam's 13 matches remaining in the year, what is the least number that he must win in order to qualify for the year-end tournament?

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题目： On Monday, the regular price of a widget was discounted by 25 percent. On Tuesday, the reduced price was discounted by 50 percent. If the final price was $60, what was the regular price?

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题目： If AD = 3x, AE = 5x, EB = y and DC = 5y, what is the ratio of the area of triangle DEC to the area of rectangle ABCD ?Note: Figure not drawn to scale

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题目： If x = $$\frac{7}{9} - \frac{15}{18} + \frac{10}{12} then{ (1-x)}^2 =$$

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题目： For a long time, the price of a certain console remained the same. Because of new tariffs, the price of this console increased by 50% last week, and stayed at this new level. This week, Amanda purchased the console with a 50%-off coupon. Amanda paid $240. What was the original price, before the last week's price increase?

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题目： If 2x - 3y = 6, then 6y - 4x =

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题目： Increasing the original price of a certain item by 25 percent and then increasing the new price by 25 percent is equivalent to increasing the original price by what percent?