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Manhattan
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Set S contains exactly 10 numbers and has an average (arithmetic mean) of 6.2. If one of the numbers in Set S is increased by 5, while all other numbers remain the same, what is the new average of Set S?
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Manhattan
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Child development specialists have observed that adolescents who receive large weekly allowances tend to spend money on items considered frivolous by their parents whereas adolescents who receive small weekly allowances do not. Thus, in order to ensure that their children do not spend money on frivolous items, parents should not give their children large weekly allowances.Which of the following pieces of information would be most useful in evaluating the validity of the conclusion above?
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Manhattan
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Is Fred taller than Wilma? (1) Fred is taller than Barney. (2) Wilma is taller than Betty, who is taller than Barney.
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Manhattan
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S and T are two-digit positive integers that have the same digits but in reverse order. If the positive difference between S and T is less than 40, what is the greatest possible value of S minus T?
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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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Manhattan
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A data set with a mean of 60 has a standard deviation of 3.5. Which of the following is the smallest number that falls within one standard deviation of the mean?
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Manhattan
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Scientists studying the region are divided over how much of the temperature shift is due to the region's large natural variations and how much is being driven by the global buildup of carbon dioxide and other heat-trapping greenhouse gases, like those emitted by tailpipes.
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Manhattan
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x, y, and z are consecutive integers, and x < y < z. What is the average of x, y, and z?(1) x = 11(2) The average of y and z is 12.5.
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Manhattan
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A sales associate earns a commission of 8% on her first $10,000 in sales revenue in a given week and a commission of 10% on any additional sales revenue that the associate generates that week. How much sales revenue did the associate generate last week?(1) The sales associate earned a total of $1,500 in commission last week.
(2) Last week, the sales associate was eligible for the 10% commission rate on $7,000 of additional sales.
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Manhattan
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If, 5 years ago, Jamie was half as old as he is now, how old will he be in x years?
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Manhattan
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The passage suggests which of the following about African American slaves in the late 1700s?
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Manhattan
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Barry walks from one end to the other of a 30-meter long moving walkway at a constant rate in 30 seconds, assisted by the walkway. When he reaches the end, he reverses direction and continues walking with the same speed, but this time it takes him 120 seconds because he is traveling against the direction of the moving walkway. If the walkway were to stop moving, how many seconds would it take Barry to walk from one end of the walkway to the other?
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Manhattan
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Which of the following can be inferred from the passage?
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Manhattan
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The manufacturer's suggested retail price (MSRP) of a certain item is $60. Store A sells the item for 20 percent more than the MSRP. The regular price of the item at Store B is 30 percent more than the MSRP, but the item is currently on sale for 10 percent less than the regular price. If sales tax is 5 percent of the purchase price at both stores, how much more will someone pay in sales tax to purchase the item at Store A?
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Manhattan
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State X recently decided to cut state funding for the public library system in County X. To help counteract this cut in funding, the county library system has increased library late fees from $.10 per day to $.12 per day. Since the fee increase, library administrators have seen no decline in the number of overdue books. The director of the county library system concludes that the fee hike has helped to counteract the cut in state funding.Which of the following statements, if true, most strengthens the director's claim?
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Manhattan
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What is the value of x? (1) x + 2y = 4(2) 5x + y + 15 = 3x – 3y + 23
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Manhattan
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The 7th grade French and Spanish classes each have 15 students in them, and there are five students in the 7th grade taking both languages. If everyone in the 7th grade is in at least one of the two language classes, how many students are taking just one of the two classes?
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Manhattan
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Although many video games are situated in fantasy worlds quite unlike our own, others feature human characters that embark on careers, get married, have their own children, just as real people do.
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American economists continually attempt to gauge the health of the economy, both for the gain of the private sector and for the global standing of the United States. Different elements of the economy react differently to changes in prosperity. Some elements rise and fall as the economy waxes and wanes. These are known as coincident indicators. Other elements are known as leading indicators and usually show a downturn before the economy does. A third group of elements are known as lagging indicators and lose vigor only after the economy has already begun to slow. Economists can predict the direction of the economy by monitoring these indicators.Coincident indicators, such as manufacturing and employment rates, are the best gauge of the current state of the economy. A continued shift in these indicators allows economists to determine whether the economy itself is in the process of an upturn or a downturn. These indicators coincide with shifts in the economy because they are dependent on sustained prosperity. But since coincident indicators reflect only the current state of the economy, they are not especially useful in predicting how the economy will perform in the near future. Economists must look to other indicators for that.
The indicators with the greatest predictive power are leading indicators, such as mortgage applications and profit margins. When these indicators rise or fall, economists can often foretell similar changes in the country's economic health. These indicators do not cause changes in the economy. Rather, they often signal changes in economic behavior that lead to shifts in the economic cycle. By contrast, the third type of indicator – lagging indicators – is useless as a harbinger of change. But these indicators can be helpful in confirming the assessments of economists.
Determining which elements of the economy fall into which category of indicator requires analysis of copious data and an understanding of the factors that propel the economy. One must determine which events surrounding a turn in the business cycle actually contributed to the change. Establishing a solid framework for understanding the behavior of these indicators helps economists to avoid miscalculations and to guide the country through periods of slow or negative economic growth.
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Manhattan
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All of the furniture for sale at Al's Discount Furniture is offered for less than the manufacturer's suggested retail price (MSRP). Once a year, Al's holds a clearance sale. If Jamie purchased a certain desk during the sale, did she get a discount of more than 50% of Al's regular price for the desk? (1) Al's regular price for the desk is less than 60% of the MSRP of $2,000. (2) The sale price was $600 less than Al's regular price for the desk.
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