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251
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Machine R and machine S work at their respective constant rates. How a much time does it take machine R, working alone, to complete a certain job?
(1) The amount of time that it takes machine S, working alone, to complete the job is $${\frac{3}{4}}$$ the amount of time that it takes machin R, working alone, to complete the job
(2)Machine R and machine S, working together, take 12 minutes to complete the job
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252
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If u > 0 and v > 0, which is greater, $${u}^{v}$$ or $${v}^{u}$$?(1) u = 1(2)v > 2
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253
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What was the range of the selling prices of the 30 wallets sold by a certain store yesterday?(1) $$\frac{1}{3}$$ of the wallets had a selling price of $24 each.(2) The lowest selling price of the wallets was $$\frac{1}{3}$$ the highest selling price of the wallets.
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254
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Three houses are being sold through a real estate agent. What is the asking price for the house with the second-largest asking price?(1) The difference between the greatest and the least asking price is $130,000.(2) The difference between the two greater asking prices is $85,000.
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255
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13. If a+b+c= 12, what is the value of b?
(1)a+b=8
(2)b+c=6
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256
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Is rw = 0?(1) −6 < r < 5(2) 6 < w < 10
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257
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Is $$x=\frac{1}{y}$$ ?(1) xy = 1(2) $$\frac{1}{xy}=1$$
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258
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How many people in a group of 50 own neither a fax machine nor a laser printer?(1) The total number of people in the group who own a fax machine or a laser printer or both is less than 50.(2) The total number of people in the group who own both a fax machine and a laser printer is 15.
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259
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What is the value of $${w}^{-2}$$?(1) $${w}^{-1}$$ = $$\frac{1}{2}$$(2) $${w}^{3}$$ = 8
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260
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A certain investment earned a fixed rate of 4 percent interest per year, compounded annually, for five years. The interest earned for the third year of the investment was how many dollars greater than that for the first year?(1) The amount of the investment at the beginning of the second year was $4,160.00.(2) The amount of the investment at the beginning of the third year was $4,326.40.
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261
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What is the circumference of circle C?
(1)The radius of circle C is 2π
(2)The center of circle C is located at point (7, 8)in the xy-plane
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262
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What is the value of t ?(1) s + t = 6 + s(2) $${t}^{3}$$ = 216
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263
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For a certain car repair, the total charge consisted of a charge for parts, a charge for labor, and a 6 percent sales tax on both the charge for parts and the charge for labor. If the charge for parts, excluding sales tax, was $50.00, what was the total charge for the repair?(1) The sales tax on the charge for labor was $9.60.(2) The total sales tax was $12.60.
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264
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George has a total of B books in his library, 25 of which are hardcover fiction books. What is the value of B ?(1) 40 of the B books are fiction and the rest are nonfiction.(2) 60 of the B books are hardcovers and the rest are paperbacks.
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265
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Is w + $${h}^{4}$$ positive?(1) h is positive.(2) w is positive.
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266
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If a is a 3-digit integer and b is a 3-digit integer, is the units digit of the product of a and b greater than 5? (1) The units digit of a is 4 (2) The units digit of b is 7.
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267
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In each of the last five years, Company K donated p percent of its annual profits to a certain scholarship fund. Did Company K donate more than $10,000 to the scholarship fund last year?(1) Two years ago, Company K had annual profits of $3 million and donated $15,000 to the scholarship fund.(2) Last year, Company K had annual profits of $2.5 million.
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268
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 Is the area of the triangular region above less than 20?(1) $$x^{2} +y^{2}\neq z^{2}$$(2) x+y<13
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269
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A, B, C and D are points on a line. If C is the midpoint of line segment AB and if D is the midpoint of line segment CB, is the length of line segment DB greater than 5?(1) The length of line segment AC is greater than 8.(2) The length of line segment CD is greater than 6.
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270
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The people in a line waiting to buy tickets to a show are standing one behind the other. Adam and Beth are among the people in the line, and Beth is standing behind Adam with a number of people between them. If the number of people in front of Adam plus the number of people behind Beth is 18, how many people in the line are behind Beth? (1) There are a total of 32 people in the line . (2) 23 people in the line are behind Adam.
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