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257
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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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258
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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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259
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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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260
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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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261
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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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262
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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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263
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If x, y, and z are positive numbers, is x > y > z?(1) xz > yz(2) yx > yz
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264
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K is a set of numbers such that (i) if x is in K, then -x is in K,and (ii) if each of x and y is in K, then xy is in K.Is 12 in K?(1) 2 is in K.(2) 3 is in K.
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265
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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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266
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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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267
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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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268
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If m and n are nonzero integers, is $$m^{n}$$ an integer?(1) $$n^{m}$$ is positive.(2) $$n^{m}$$ is an integer.
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269
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What is the value of xy?(1) x + y = 10(2) x - y = 6
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270
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If n is the least of three different integers greater than 1, what is the value of n?(1) The product of the three integers is 90.(2) One of the integers is twice one of the other two integers.
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271
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Is $$x^{2}$$ greater than x?(1) $$x^{2} $$is greater than 1.(2) x is greater than -1.
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272
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Michael arranged all his books in a bookcase with 10 books on each shelf and no books left over. After Michael acquired 10 additional books, he arranged all his books in a new bookcase with 12 books on each shelf and no books left over. How many books did Michael have before he acquired the 10 additional books?(1) Before Michael acquired the 10 additional books, he had fewer than 96 books.(2) Before Michael acquired the 10 additional books, he had more than 24 books
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273
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If xy > 0, does (x -1)(y -1) = 1?(1) x + y = xy(2) x =y
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274
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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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275
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Is the perimeter of square S greater than the perimeter of equilateral triangle T?(1) The ratio of the length of a side of S to the length of a side of T is 4:5.(2) The sum of the lengths of a side of S and a side of T is 18.
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276
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If x + y + z > 0, is z >1?(1) z > x + y + 1(2) x + y +1 < 0
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