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题目： What is the probability that Lee will make exactly 5 errors on a certain typing test? (1) The probability that Lee will make 5 or more errors on the test is 0.27. (2) The probability that Lee will make 5 or fewer errors on the test is 0.85.

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题目： If pis a positive integer, is $$2^{p} + 1$$ a prime number? (1) p is a prime number. (2) p is an even number.

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题目： 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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题目： 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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题目： 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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题目： If a and bare constants, what is the value of a? (1) $$a (2) $$(t- a)(t- b)= t^{2} + t-12$$, for all values oft.

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题目： 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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题目： 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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题目： If $$abc \neq 0$$, is $$\frac{\frac{a}{b}}{c}=\frac{a}{\frac{b}{c}}$$ ? (1) $$a=1$$ (2) $$c= 1$$

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题目： 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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题目： 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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题目： 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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题目： If m and n are positive integers, ism+ 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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题目： 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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题目： How many integers n are there such that r (1) $$s - r = 5$$ (2) rand s are not integers.