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OG19-数学分册
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The figure above shows Line L, Circle 1 with center at $$C_1$$, and Circle 2 with center at $$C_2$$. Line L intersects Circle 1 at points A and B, Line L intersects Circle 2 at points D and £, and points $$C_1$$ and $$C_2$$ are equidistant from line L. Is the area of $$△ABC_1$$ less than the area of $$△DEC_2$$?
(1) The radius of Circle 1 is less than the radius of Circle 2.[br/[
(2) The length of chord $$\overline {AB}$$ is less than the length of chord $$\overline {DE}$$.
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OG19-数学分册
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ls $$x>y$$?
(1) $$x+y>x-y$$
(2) $$3x > 2y$$
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OG19-数学分册
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Is the integer n a prime number?
(1) $$24 \leq n \leq 28$$
(2) n is not divisible by 2 or 3.
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OG19-数学分册
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What is the average (arithmetic mean) annual salary of the 6 employees of a toy company?
(1) If the 6 annual salaries were ordered from least to greatest, each annual salary would be $6,300 greater than the preceding annual salary.
(2) The range of the 6 annual salaries is $31,500.
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OG19-数学分册
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If the set S consists of five consecutive positive integers, what is the sum of these five integers?
(1) The integer 11 is in S, but 10 is not in S.
(2) The sum of the even integers in S is 26.
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OG19-数学分册
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If r, s, and tare nonzero integers, is $$r^{5}s^{3}t^{4}$$ negative?
(1) rt is negative.
(2) s is negative.
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OG19-数学分册
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Each Type A machine fills 400 cans per minute, each Type B machine fills 600 cans per minute, and each Type C machine installs 2,400 lids per minute. A lid is installed on each can that is filled and on no can that is not filled. For a particular minute, what is the total number of machines working?
(1) A total of 4,800 cans are filled that minute.
(2) For that minute, there are 2 Type B machines working for every Type C machine working.
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OG19-数学分册
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If a and bare constants, what is the value of a?
(1) $$a< b$$
(2) $$(t- a)(t- b)= t^{2} + t-12$$, for all values oft.
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OG19-数学分册
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If $$w + z = 28$$, what is the value of wz?
(1) wand z are positive integers.
(2) wand z are consecutive odd integers.
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OG19-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 the collection and the arithmetic mean of the 6 integers is computed. Is the arithmetic mean of the 6 integers at least 10 ?
(1) The additional integer is at least 14.
(2) The additional integer is a multiple of 5.
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OG19-数学分册
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In a two-month survey of shoppers, each shopper bought one of two brands of detergent, 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 in the first month bought Brand Y again in the second month. What percent 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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OG19-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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OG19-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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OG19-数学分册
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Is xy> 5?
(1) $$1 \leq x \leq 3$$ and $$2 \leq y \leq 4$$.
(2) $$x+ y= 5$$
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OG19-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 began filling the order at 9:30 a.m.
(2) The machine had filled $$\frac{1}{2}$$ of the order by 5 10:30 a.m. and $$\frac{5}{6}$$ of the order by 11:10 a.m.
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OG19-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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OG19-数学分册
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If $$x^{2} + y^{2} = 29$$, what is the value of $$(x-y)^{2}$$ ?
(1) $$xy= 10$$
(2) $$x= 5$$
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OG19-数学分册
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After winning 50 percent of the first 20 games it played, Team A won all of the remaining games it played. What was the total number of games that Team A won?
(1) Team A played 25 games altogether.
(2) Team A won 60 percent of all the games it played.
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OG19-数学分册
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Is x between 0 and 1 ?
(1) $$x^{2}$$ is less than x.
(2) $$x^{3}$$ is positive.
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OG19-数学分册
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Last year in a group of 30 businesses, 21 reported a net profit and 15 had investments in foreign markets. How many of the businesses did not report a net profit nor invest in foreign markets last year?
(1) Last year 12 of the 30 businesses reported a net profit and had investments in foreign markets.
(2) Last year 24 of the 30 businesses reported a net profit or invested in foreign markets, or both.
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