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OG19-语文分册 OG20-语文分册
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A product that represents a clear technological advance over competing products can generally command a high price. Because technological advances tend to be quickly surpassed and companies want to make large profits while they still can, many companies charge the maximum possible price for such a product. But large profits on the new product will give competitors a strong incentive to quickly match the new product's capabilities. Consequently, the strategy to maximize overall profit from a new product is to charge less than the greatest possible price.
In the argument above, the two portions in boldface play which of the following roles?
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OG19-语文分册 OG20-语文分册
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Gartland has long been narrowly self-sufficient in both grain and meat. However, as per capita income in Gartland has risen toward the world average, per capita consumption of meat has also risen toward the world average, and it takes several pounds of grain to produce one pound of meat. Therefore, since per capita income continues to rise, whereas domestic grain production will not increase, Gartland will soon have to import either grain or meat or both.
Which of the following is an assumption on which the argument depends?
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OG19-数学分册
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Is zw positive?
(1) $$z + w^{3} = 20$$
(2) z is positive.
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OG19-数学分册
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In the rectangular coordinate system .above, if △OPQ and △QRS have equal area, what are the coordinates of point R?
(1) The coordinates of point Pare (0,12).
(2) $$OP = OQ$$ and $$QS = RS$$.
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OG19-数学分册
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Company X's profits this year increased by 25% over last year's profits. Was the dollar amount of Company X's profits this year greater than the dollar amount of Company Y's?
(1) Last year, the ratio of Company Y's profits to Company X's profits was 5:2.
(2) Company Y experienced a 40% drop in profits from last year to this year.
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OG19-数学分册
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A candle company determines that, for a certain specialty candle, the supply function is $$p = m_1x +b_1$$ and the demand function is $$p = m_2x +b_2$$, where p is the price of each candle, x is the number of candles supplied or demanded, and $$m_1$$, $$m_2$$, $$b_1$$, and $$b_2$$ are constants. At what value of x do the graphs of the supply function and demand function intersect?
(1) $$m_1 = -m_2 = 0.005$$
(2) $$b_2 - b_1 = 6$$
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OG19-数学分册
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When the wind speed is 9 miles per hour, the wind-chill factor w is given by
$$w= -17.366 + 1.19t$$,
where t is the temperature in degrees Fahrenheit. If at noon yesterday the wind speed was 9 miles per hour, was the wind-chill factor greater than 0 ?
( 1) The temperature at noon yesterday was greater than 10 degrees Fahrenheit.
(2) The temperature at noon yesterday was less than 20 degrees Fahrenheit.
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OG19-数学分册
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What is the volume of the cube above?
( 1) The surface area of the cube is 600 square inches.
(2) The length of diagonal AB is $$10\sqrt{3}$$ inches.
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OG19-数学分册
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Working together, Rafael and Salvador can tabulate a certain set of data in 2 hours. In how many hours can Rafael tabulate the data working alone?
(1) Working alone, Rafael can tabulate the data in 3 hours less time than Salvador, working alone, can tabulate the data.
(2) Working alone, Rafael can tabulate the data in $$\frac{1}{2}$$ the time that Salvador, working alone, can tabulate the data.
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OG19-数学分册
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If x and y are integers, what is the value of x?
(1) $$ xy= 1$$
(2) $$ x\neq 1$$
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OG19-数学分册
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Of the total number of copies of Magazine X sold last week, 40 percent were sold at full price. What was the total number of copies of the magazine sold last week?
(1) Last week, full price for a copy of Magazine X was $1.50 and the total revenue from full-price sales was $112,500.
(2) The total number of copies of Magazine X sold last week at full price was 75,000.
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OG19-数学分册
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If p, s, and tare positive, is $$|ps - pt| > p(s - t)$$ ?
(1) $$p < s$$
(2) $$s < t$$
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OG19-数学分册
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If m is an integer greater than 1, is m an even integer?
(1) 32 is a factor of m.
(2) m is a factor of 32.
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OG19-数学分册
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If x > 0, what is the value of x ?
(1) $$x^{3} - x = 0$$
(2) $$\sqrt[3]{x}-x=0$$
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OG19-数学分册
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Was the range of the amounts of money that Company Y budgeted for its projects last year equal to the range of the amounts of money that it budgeted for its projects this year?
(1) Both last year and this year, Company Y budgeted money for 12 projects and the least amount of money that it budgeted for a project was $400.
(2) Both last year and this year, the average (arithmetic mean) amount of money that Company Y budgeted per project was $2,000.
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OG19-数学分册
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Is xm < ym ?
(1) x > y
(2) m<0
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OG19-数学分册
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If $$y = x^{2} - 6x + 9$$, what is the value of x?
(1) $$y= 0$$
(2) $$x + y= 3$$
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OG19-数学分册
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In the xy-plane, point (r,s) lies on a circle with center at the origin. What is the value of $$r^{2} + s^{2}$$ ?
(1) The circle has radius 2.
(2) The point ($$\sqrt{2},-\sqrt{2}$$) lies on the circle.
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OG19-数学分册
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If x is a positive integer, is $$\sqrt{x}$$ an integer?
(1) $$\sqrt{4x}$$ is an integer.
(2) $$\sqrt{3x}$$ is not an integer.
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OG19-数学分册
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If p, q, x, y, and z are different positive integers, which of the five integers is the median?
(1) p+x
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