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300难题
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The figure above shows the dimensions of a square picture frame that was constructed using four identical pieces of frame as shown. If w is the width of each piece of the frame, what is the area of the front surface of each piece? (1 ft= 12 inches)
1.w = 3 inches
2.PQ=$$\sqrt{18}$$ inches
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300难题
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Sprinklers are being installed to water a lawn. Each sprinkler waters in a circle. Can the lawn be watered completely by 4 installed sprinklers?
(1)The lawn is rectangular and its area is 32 square yards.
(2)Each sprinkler can completely water a circular area of lawn with a maximum radius of 2 yards.
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300难题
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Town X has 50,000 residents, some of whom were born in Town X. What percent of the residents of Town X were born in Town X ?
1.Of the male residents of Town X, 40 percent were not born in Town X.
2.Of the female residents of Town X, 60 percent were born in Town X.
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300难题
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If m and n are positive integers, is n even?
1.m(m + 2)+ 1 = mn
2.m(m + n)is odd.
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300难题
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If x, y,and d are integers and d is odd, are both x and y divisible by d ?
1.x + y is divisible by d.
2.x - y is divisible by d.
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300难题
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If b is the product of three consecutive positive integers c, c + 1, and c + 2, is b a multiple of 24?
1.b is a multiple of 8.
2.c is odd.
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300难题
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If s is an integer, is 24 a divisor of s ?
1.Each of the numbers 3 and 8 is a divisor of s.
2.Each of the numbers 4 and 6 is a divisor of s.
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300难题
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When 2/9 of the votes on a certain resolution have been counted, 3/4 of those counted are in favor of the resolution. What fraction of the remaining votes must be against the resolution so that the total count will result in a vote of 2 to 1 against the resolution?
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300难题
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The figures above show a hexagonal nut that has a width of $$1\frac{5}{16}$$ inches and a wrench that, in order to fit the nut,must have a width of at least $$1\frac{5}{16}$$ inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?
(Note: 1 inch = 25.4 millimeters)
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300难题
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Rita and Sam play the following game with n sticks on a table. Each must remove 1, 2, 3,4 or 5 sticks at a time on alternate turns, and no stick that is removed is put back on the table. The one who removes the last stick (or sticks) from the table wins. If Rita goes first， which of the following is a value of n such that Sam can always win no matter how Rita plays?
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300难题
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The figure above represents a network of one-way streets. The arrows indicate the direction of traffic flow, and the numbers indicate the amount of traffic flow into or out of each of the four intersections during a certain hour. During that hour: what was the amount of traffic flow along the street from R to S if the total amount of traffic flow into P was 1200 ? (Assume that none of the traffic originates or terminates in the network.)
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300难题
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There were 36,000 hardback copies of a certain novel sold before the paperback version was issued. From the time the first paperback copy was sold until the last copy of the novel was sold, 9 times as many paperback copies as hardback copies were sold. If a total of 441,000 copies of the novel were sold in all, how many paperback copies were sold?
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300难题
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On the day of the performance of a certain play, each ticket that regularly sells for less than $10.00 is sold for half price plus $0.50, and each ticket that regularly sells for $10.00 or more is sold for half price plus $1.00. On the day of the performance, a person purchases a total of y tickets， of which x regularly sell for $9.00 each and the rest regularly sell for $12.00 each. What is the amount paid, in dollars, for the y tickets?
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300难题
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If there is a least integer that satisfies the inequality$$\frac{9}{x} \geq 2$$,what is that least integer?
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PREP08 Test 2
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According to the passage, recent fieldwork has revealed which of the following about rights to hunting territories in Algonquian societies?
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PREP08 Test 2
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The author of the passage mentions the Progressives as examples of historians who
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PREP08 Test 2
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The primary purpose of the passage is to
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OG20 OG2022
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Arts advocate: Few universities require that students who are specializing in science and technology take many art courses. However, real progress in science and technology requires an element of creativity, which the arts foster.Thus,to help science and technology students succeed in their careers, universities should increase the number of art courses required for them. Which of the following would, if true, most strengthen the argument above?
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OG21 OG2022
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The company's CEO backed away from her plan for dividing the firm into five parts, saying that she still had meant to spin off or sell two units but that the company would retain ownership of two others as well as the core company.
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OG21 OG2022
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With near to all tortilla chips made from corn kernels that have been heated in a solution of calcium hydroxide (lime), this removes the skin of the kernel so water can penetrate.
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