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OG18-数学分册
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If $$abc\neq 0$$, is $$ \frac{a/b} {c} = \frac{a}{b/c}$$?(1) a = 1(2) c = 1
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OG18-数学分册
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The arithmetic mean of a collection of 5 positive integers, not necessarily distinct, is 9. One additional positive integer is included in collection and the arithmetic mean of the 6 integers is computed. Is the arithmetic mean of the 6 intergers at least 10?(1) The additional integer is at least 14.(2) The additional integer is a multiple of 5.
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OG18-数学分册
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A certain list consists of 400 different numbers. Is the average (arithmetic mean) of the numbers in the list greater than the median of the numbers in the list?(1) Of the numbers in the list, 280 are less than the average.(2) Of the numbers in the list, 30 percent are greater than or equal to the average.
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OG18-数学分册
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In a two-month survey of shoppers, each shopper bought one of two brands of deterget, X or Y, in the first month and again bought one of these brands in the second month. In the survey, 90 percent of the shoppers who bought Brand X in the first month bought Brand X again in the second month, while 60 percent of the shoppers who bought Brand Y again in the second month. What perccent of the shoppers bought Brand Y in the second month?(1) In the first month, 50 percent of the shoppers bought Brand X.(2) The total number of shoppers surveyed was 5,000.
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OG18-数学分册
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If m and n are positive integers, is m+n divisible by 4?(1) m and n are each divisible by 2.(2) Neither m nor n is divisible by 4.
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OG18-数学分册
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What is the area of rectangular region R?(1) Each diagonal of R has length 5.(2) The perimeter of R is 14.
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OG18-数学分册
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How many integers n are there such that r < n < s?(1) s- r = 5(2) r and s are not integers.
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OG18-数学分册
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If the total price of n equally priced shares of a certain stock was $12,000, what was the price per share of the stock?(1) If the price per share of the stock had been $1 more, the total price of the n shares would have been $300 more.(2) If the price per share of the stock had been $2 less, the total price of the n shares would have been 5 percent less.
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OG18-数学分册
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If n is positive, is $$\sqrt{n} > 100$$?(1) $$\sqrt{n - 1} > 99$$(2) $$\sqrt{n + 1} >101$$
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OG18-数学分册
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Is xy > 5?(1) $$1 \le x \le 3 and 2 \le y \le 4$$(2) x + y = 5
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OG18-数学分册
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In Year X,8.7 percent of the men in the labor force were unemployed in June compared with 8.4 percent in May. If the number of men in the labor force was the same for both months, how many men were unemployed in June of that year?(1) In May of Year X, the number of unemployed men in the labor force was 3.36 million.(2) In Year X, 120,000 more men in the labor force were umemployed in June than in May.
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OG18-数学分册
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If $$x\neq0$$, what is the value of $$(\frac{x^{p}}{x^{q}})^{4}$$?(1) p = q(2) x =3
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OG18-数学分册
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On monday morning a certain machine ran continuously at a uniform rate to fill a production order.At what time did it completely fill the order that morning?(1) The machine bagan filling the order at 9:30 a.m.(2) The machine had filled $$\frac{1}{2} $$ of the order by 10:30 a.m. and $$\frac{5}{6} $$ of the order by 11:10 a.m.
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OG18-数学分册
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What is the radius of the circle above with center O ?(1) The ratio of OP to PQ is 1 to 2.(2) P is the midpoint of chord AB?
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OG18-数学分册
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If a and b are positive integers, what is the value of the product ab?(1) The least common multiple of a and b is 48.(2) The greatest common factor of a and b is 4.
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OG18-数学分册
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What is the number of 360-degree rotations that a bicycle wheel made while rolling 100 meters in a straight line without slipping?(1) The diameter of the bicycle wheel, including the tire, was 0.5 meter.(2) The wheel made twenty 360-degree rotations per minute.
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OG18-数学分册
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In the equation $$x^{2} + bx + 12 = 0$$, x is a variable and b is a constant. What is the value of b?(1) x - 3 is a factor of $$x^{2} + bx +12.$$(2) 4 is a root of the equation $$x^{2} + bx + 12 = 0$$.
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OG18-数学分册
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In the figure above, line segment OP has slope $$\frac{1}{2}$$ and line segment PQ has slope 2.What is the slope of line segment OQ?(1) Line segment OP has length $$2\sqrt{5}$$.(2) The coordinates of point Q are (5,4).
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OG18-数学分册
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In $$\Delta$$XYZ, what is the length of YZ?(1) The length of XY is 3.(2) The length of XZ is 5.
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OG18-数学分册
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If the average (arithmetic mean) of n consecutive odd integers is 10, what is the least of the integers?(1) The range of the n integers is 14.(2) The greatest of the n integers is 17.
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