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If n and k are positive integers, is n divisible by 6?(1)n = k(k + 1)(k - 1)(2)k - 1 is a multiple of 3.
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What was the cost of a certain telephone call?(1)The call lasted 8 minutes.(2)The cost of the first minute of the call was $0.32, which was twice the cost of each minute of the call after the first.
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What is the probability that a student randomly selected from a class of 60 students will be a male who has brown hair?(1)One-half of the students have brown hair.(2)One-third of the students are males.
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OG12 OG15 OG16 OG17
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The annual rent collected by a corporation from a certain building was x percent more in 1998 than in 1997 and y percent less in 1999 than in 1998. Was the annual rent collected by the corporation from the building more in 1999 than in 1997?(1)$$x > y$$(2)$$\frac{xy} {100}<{x}-{y}$$
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If m and v are integers, what is the value of $$m + v$$?(1)$$mv = 6$$(2)$$({m}+{v})^{2}={25}$$
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For a recent play performance, the ticket prices were $25 per adult and $15 per child. A total of 500 tickets were sold for the performance. How many of the tickets sold were for adults?(1)Revenue from ticket sales for this performance totaled $10,500.(2)The average (arithmetic mean) price per ticket sold was $21.
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Is x an odd integer?(1)$$x + 3$$ is an even integer.(2)$$\frac x 3$$ is an odd integer.
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OG16 OG17 OG18 OG19 OG20 OG2022
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What is the sum of a certain pair of consecutive odd integers?(1)At least one of the integers is negative.(2)At least one of the integers is positive.
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If water is leaking from a certain tank at a constant rate of 1,200 milliliters per hour, how many seconds does it take for 1 milliliter of water to leak from the tank?
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How many integers from 0 to 50, inclusive, have a remainder of 1 when divided by 3 ?
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OG12
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Each week, Harry is paid x dollars per hour for the first 30 hours and 1.5x dollars for each additional hour worked that week. Each week, James is paid x dollars per hour for the first 40 hours and 2x dollars for each additional hour worked that week. Last week James worked a total of 41 hours. If Harry and James were paid the same amount last week, how many hours did Harry work last week?
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 In the figure, what is the area of triangular region BCD ?
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OG12
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A total of n trucks and cars are parked in a lot. If the number of cars is $$\frac1 4$$ the number of trucks,and $$\frac2 3$$ of the trucks are pickups, how many pickups, in terms of n, are parked in the lot?
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One gram of a certain health food contains 7 percent of the minimum daily requirement of vitamin E and 3 percent of the minimum daily requirement of vitamin A. If vitamins E and A are to be obtained from no other source, approximately how many grams of the health food must be eaten daily to provide at least the minimum daily requirement of both vitamins?
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If n is a positive integer, what is the remainder when $$7^{4n+3}6^n$$ is divided by 10 ?
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A club with a total membership of 30 has formed 3 committees, M, S, and R, which have 8, 12, and 5 members, respectively. If no member of committee M is on either of the other 2 committees, what is the greatest possible number of members in the club who are on none of the committees?
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If n is the product of the integers from1 to 20 inclusive, what is the greatest integer k for which $${2}^{k}$$ is a factor of n?
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A circular mat with diameter 20 inches is placed on a square tabletop, each of whose sides is 24 inches long. Which of the following is closest to the fraction of the tabletop covered by the mat?
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A gardener is going to plant 2 red rosebushes and 2 white rosebushes. If the gardener is to select each of the bushes at random, one at a time, and plant them in a row, what is the probabilitythatthe2 rosebushes in the middle of the row will be the red rosebushes?
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Ann, Carol, and Judy paid a total of $45 for their dinner at a restaurant. If Ann paid $$\frac2 5$$ of the total amount, Carol paid $17, and Judy paid the rest, what fraction of the total amount did Judy pay?
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