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OG12 OG15
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if $${t}=\frac{1}{(2^9*5^3)}$$ is expressed as a terminating decimal,how many zeros will t have between the decimal point and the first nonzero digit to the right of the decimal point?
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OG12 OG15
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Although custom prosthetic bone replacements produced through a new computer-aided design process will cost more than twice as much as ordinary replacements, custom replacements should still be cost-effective. Not only will surgery and recovery time be reduced, but custom replacements should last longer, thereby reducing the need for further hospital stays.Which of the following must be studied in order to evaluate the argument presented above?
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OG12 OG15 OG16 OG17
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In triangle ABC, point X is the midpoint of side AC and point Y is the midpoint of side BC. If point R is the midpoint of line segment XC and if point S is the midpoint of line segment YC, what is the area of triangular region RCS ?(1)The area of triangular region ABX is 32.(2)The length of one of the altitudes of triangle ABC is 8.
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OG12 OG15 OG16 OG17
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Among the objects found in the excavated temple were small terra-cotta effigies left by supplicants who were either asking the goddess Bona Dea's aid in healing physical and mental ills or thanking her for such help.
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OG12 OG15
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According to the passage, the widely held view of Archean-age gold-quartz vein systems is that such systems
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OG12 OG15 OG16 OG17 GWD
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Springfield Fire Commissioner: the vast majority of false fire alarms are prank calls made anonymously from fire alarm boxes on street corners. Since virtually everyone has access to a private telephone, these alarm boxes have outlived their usefulness. Therefore, we propose to remove the boxes. Removing the boxes will reduce the number of prank calls without hampering people's ability to report a fire.Which of the following, if true, most strongly supports the claim that the proposal, if carried out, will have the announced effect?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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A pharmaceutical company received $3 million in royalties on the first $20 million in sales of the generic equivalent of one of its products and then $9 million in royalties on the next $108 million in sales. By approximately what percent did the ratio of royalties to sales decrease from the first $20 million in sales to the next $108 million in sales?
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OG12 OG15
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Published in Harlem, the owner and editor of The Messenger were two young journalists, Chandler Owen and A. Philip Randolph, who would later make his reputation as a labor leader.
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OG12 OG15
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The passage implies that which of the following steps would be the first performed by explorers who wish to maximize their chances of discovering gold?
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OG12
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The product of the units digit, the tens digit, and the hundreds digit of the positive integer m is 96. What is the units digit of m?(1)m is odd.(2)The hundreds digit of m is 8.
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OG12 PREP2012
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Correctly measuring the productivity of service workers is complex. Consider, for example, postal workers: they are often said to be more productive if more letters are delivered per postal worker. But is this really true? What if more letters are lost or delayed per worker at the same time that more are delivered?The objection implied above to the productivity measure described is based on doubts about the truth of which of the following statements?
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OG12 OG15 OG16 OG17 OG18 OG19 OG20 OG2022
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If p is the product of the integers from 1 to 30, inclusive, what is the greatest integer k for which $$3^k$$ is a factor of p?
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OG12 OG15 OG16 OG17 GWD
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Construction of the Roman Colosseum, which was officially known as the Flavian Amphitheater, began in A.D. 69, during the reign of Vespasian, was completed a decade later, during the reign of Titus, who opened the Colosseum with a one-hundred-day cycle of religious pageants, gladiatorial games, and spectacles.
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OG12 OG15
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Which of the following statements about discoveries of gold deposits is supported by information in the passage?
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OG12 OG15 OG16 OG17
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A department manager distributed a number of pens, pencils, and pads among the staff in the department, with each staff member receiving x pens, y pencils, and z pads. How many staff members were in the department?(1)The numbers of pens, pencils, and pads that each staff member received were in the ratio 2:3:4, respectively.(2)The manager distributed a total of 18 pens, 27 pencils, and 36 pads.
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OG12
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If candy bars that regularly sell for $0.40 each are on sale at two for $0.75, what is the percent reduction in the price of two such candy bars purchased at the sale price?
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OG12 OG15
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The difficulty with the proposed high-speed train line is that a used plane can be bought for one-third the price of the train line, and the plane, which is just as fast, can fly anywhere. The train would be a fixed linear system, and we live in a world that is spreading out in all directions and in which consumers choose the freewheel systems (cars, buses, aircraft), which do not have fixed routes. Thus a sufficient market for the train will not exist.Which of the following, if true, most severely weakens the argument presented above?
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OG12 OG15
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As a baby emerges from the darkness of the womb with a rudimentary sense of vision, it would be rated about 20/500, or legally blind if it were an adult with such vision.
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OG12 OG15
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It can be inferred from the passage that which of the following is easiest to detect?
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OG12 OG15
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Machines X and Y produced identical bottles at different constant rates. Machine X, operating alone for 4 hours, filled part of a production lot; then Machine Y, operating alone for 3 hours, filled the rest of this lot. How many hours would it have taken Machine X operating alone to fill the entire production lot?(1)Machine X produced 30 bottles per minute.(2)Machine X produced twice as many bottles in 4 hours as Machine Y produced in 3 hours.
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