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If Antonio bought two half-gallon cartons of ice cream during a special sale, what percent of the total regular price of the two cartons did he save?(1) Antonio paid the regular price for the first carton and received the second carton for half the regular price.(2) The regular price of the ice cream Antonio bought was $4.00 per half-gallon carton.
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In a certain classroom, there are 80 books, of which 24 are fiction and 23 are written in Spanish. How many of the fiction books are written in Spanish?(1) Of the fiction books, there are 6 more that are not written in Spanish than are written in Spanish.(2) Of the books written in Spanish, there are 5 more nonfiction books than fiction books.
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A direct flight from Lima to Cuzco was diverted to Arequipa due to unexpected bad weather. 163 passengers were on the flight when it finally arrived at Cuzco. How many passengers boarded the flight in Arequipa?1. When the plane took off from Lima, 184 people were on board.2. 30 people chose to disembark at Arequipa and did not re-board the flight.
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Derek's cell phone bill shows total minutes used for each of two categories: peak minutes and off peak minutes. If Derek used a total of 75 minutes last month, how many off peak minutes did he use?(1) Derek used twice as many off peak minutes as peak minutes last month.(2) Last month, Derek exceeded his allowance of off peak minutes by 25 percent.
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OG18-语文分册 OG19-语文分册 OG20-语文分册
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Which of the following, if true, most logically completes the argument below?Manufacturers are now required to make all cigarette lighters child-resistant by equipping them with safety levers. But this change is unlikely to result in a significant reduction in the number of fires caused by chilidren playing with lighters, because children given the opportunity can figure out how to work the safety levers and_________.
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OG19 OG20
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The city of Workney, in raising bus fares from $1.00 to $1.25, proposed that 18 fare tokens be sold for $20.00 to alleviate the extra burden of the fare increase on the city's poor people. Critics suggested alternatively that 9 fare tokens be sold for $10.00, because a $20.00 outlay would be prohibitive for poor riders
The alternative proposal depends on which of the following assumptions?
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OG19 OG20 OG2022
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Last year, in a certain housing development, the average (arithmetic mean) price of 20 new houses was $160,000. Did more than 9 of the 20 houses have prices that were less than the average price last year?
(1)Last year the greatest price of one of the 20 houses was $219,000.
(2)Last year the median of the prices of the 20 houses was 150,000
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191222
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In a store, there are 3 types of bags, namely B, S, and Z. The number of B-type bags is 33; the number of S-type bags is 24, and the number of Z-type bags is 29, other information has been given in the table below. What's the total number of these bags?
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OG2022
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Which of the following, if true, most logically completes the argument below?
Manufacturers are now required to make all cigarette lighters child-resistant by equipping them with safety levers. But this change is unlikely to result in a significant reduction in the number of fires caused by chilidren playing with lighters, because children given the opportunity can figure out how to work the safety levers and_________.
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Magoosh
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A certain zoo has mammals and reptiles and birds, and no other animals. The ratio of mammals to reptiles to birds is 11:8:5. How many birds are in the zoo?Statement #1: there are twelve more mammals in the zoo than there are reptilesStatement #2: if the zoo acquired 16 more mammals, the ratio of mammals to birds would be 3:1
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Magoosh
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Set S consists of all the positive multiples of 5 that are less than K, and K is a positive integer not divisible by 5. The mean of Set S is not divisible by 5. Let N be the number of members of the set. N is not divisible by 5. What does N equal?Statement #1: N < 52Statement #2: $$\frac{K}{5}$$ > 48
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OG19-数学分册
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Working together, Rafael and Salvador can tabulate a certain set of data in 2 hours. In how many hours can Rafael tabulate the data working alone?
(1) Working alone, Rafael can tabulate the data in 3 hours less time than Salvador, working alone, can tabulate the data.
(2) Working alone, Rafael can tabulate the data in $$\frac{1}{2}$$ the time that Salvador, working alone, can tabulate the data.
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The number of defects in the first five cars to come through a new production line are 9, 7, 10, 4, and 6, respectively. If the sixth car through the production line has either 3, 7, or 12 defects, for which of theses values does the mean number of defects per car for the first six cars equal the median?I.3II.7III.12
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PREP07 Test 1
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 Which of the following statements can be inferred from the data above?I. the Klein family's annual income more than doubled from 1985 to 1995II. the Klein family's annual income increased by a greater amount from 1985 to 1990 than from 1990 to 1995III. the Klein family's average (arithmetic mean) annual income for the period shown was greater than $40,000.
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Manhattan
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In the month of June, a street vendor sold 10% more hot dogs than he sold in the month of May. How many total hot dogs did the vendor sell in May and June combined? (1) The vendor sold 27 more hot dogs in June than in May.(2) The vendor sold 50% more hot dogs in May than he did in April, when he sold 180 hot dogs.
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300难题
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The table above shows the average (arithmetic mean) price per dozen eggs sold in a certain store during three successive months. If 2/3 as many dozen were sold in April as in May, and twice as many were sold in June as in April, what was the average price per dozen of the eggs sold over the three-month period?
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For much of the twentieth century, Saving and Loans (S&L) banks made mortgage loans to individual middle class families, allowing many to buy houses. In the 1970s, the combination of inflation and falling oil prices created economic conditions to place S&L banks at risk. In the early 1980s, Congress deregulated the S&L banks, allowing them to expand the kinds of investments from which they drew profits. The deregulation was designed to open beneficial options which would allow the flagging S&L banks to save themselves. Instead, many S&L banks pursued investments in sectors they did not understand well, such as commercial real estate: they entered these sectors with large amounts of cash although they were not fully apprised of the risks. The collapse of the housing market in the mid 1980's, following an unprecedented building boom over the previous ten years, led to the failure of numerous S&L banks. As these banks were protected by federal insurance, this collapse cost the American taxpayers over $100 billion. In some of the S&L banks that failed, the bank leaders were found guilty of embezzlement and other kinds of fraud. In some cases, the burden of fraud caused otherwise viable banks to fail, and in other cases, a bank that was going to fail anyway had its life prolonged by fraud, creating additional expenses for the federal bank bailout. Former bank regulator William Black has argued that the US government has not adequately learned important lessons from the S&L crisis. While stronger regulations for all banks are in place now, little has been done to strengthen the fraud procedures. Black has pointed out that bank fraud has the opportunity to thrive whenever regulation or oversight is loosened, and systemic occurrences of bank fraud pose a major risk to the well-being of the economy. While individuals may resist fraud because of their own ethics, this is not sufficient to protect the economy as a whole. Congressmen, responding to Black's charges, argue that the SEC has in place strict guidelines for what constitutes bank fraud, and that both SEC investigators and congressmen themselves are well-poised to detect even individual instances of fraud, to say nothing of widespread fraud. Black points out that SEC investigators do not have criminologist training: while they understand the rules well, they are not familiar with all the methods used to subvert or violate them. Furthermore, congressmen, under certain conditions, can turn a blind eye to bank fraud. For example, in the 1980s, the so-called "Keating five" senators accepted cash contributions from Charles Keating, the head of a S&L bank, and in return gave Mr. Keating undue protection which allowed him to continue his fraud.
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OG15 OG16 OG17
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The following appeared in an article in a health–and–fitness magazine:"Laboratory studies show that Saluda Natural Spring Water contains several of the minerals necessary for good health and that it is completely free of bacteria. Residents of Saluda, the small town where the water is bottled, are hospitalized less frequently than the national average. Even though Saluda Natural Spring Water may seem expensive, drinking it instead of tap water is a wise investment in good health."Discuss how well reasoned you find this argument. In your discussion be sure to analyze the line of reasoning and the use of evidence in the argument. For example, you may need to consider what questionable assumptions underlie the thinking and what alternative explanations or counterexamples might weaken the conclusion. You can also discuss what sort of evidence would strengthen or refute the argument, what changes in the argument would make it more logically sound, and what, if anything, would help you better evaluate its conclusion.
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OG15 OG16 OG17
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The following appeared in the editorial section of a newspaper:"As public concern over drug abuse has increased, authorities have become more vigilant in their efforts to prevent illegal drugs from entering the country. Many drug traffickers have consequently switched from marijuana, which is bulky, or heroin, which has a market too small to justify the risk of severe punishment, to cocaine. Thus enforcement efforts have ironically resulted in an observed increase in the illegal use of cocaine."Discuss how well reasoned you find this argument. In your discussion be sure to analyze the line of reasoning and the use of evidence in the argument. For example, you may need to consider what questionable assumptions underlie the thinking and what alternative explanations or counterexamples might weaken the conclusion. You can also discuss what sort of evidence would strengthen or refute the argument, what changes in the argument would make it more logically sound, and what, if anything, would help you better evaluate its conclusion.
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OG15 OG16 OG17
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The following appeared as part of an article in a weekly newsmagazine:"The country of Oleum can best solve the problem of its balance of trade deficit by further increasing the tax on its major import, crude oil. After Oleum increased the tax on imported crude oil four months ago, consumption of gasoline declined by 20 percent. Therefore, by imposing a second and significantly higher tax increase next year, Oleum will dramatically decrease its balance of trade deficit."Discuss how well reasoned you find this argument. In your discussion be sure to analyze the line of reasoning and the use of evidence in the argument. For example, you may need to consider what questionable assumptions underlie the thinking and what alternative explanations or counterexamples might weaken the conclusion. You can also discuss what sort of evidence would strengthen or refute the argument, what changes in the argument would make it more logically sound, and what, if anything, would help you better evaluate its conclusion.
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