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For dinner at a restaurant, there are x choices of appetizers, y + 1 main courses, and z choices of dessert. How many total possible choices are there if you choose 1 appetizer, 1 main course, and 1 dessert for your meal?

Two integers are in the ratio of 1 to 4. If 6 is added to the smaller number, the ratio becomes 1 to 2. Find the larger integer. 

Mayor: In each of the past five years, the city has cut school funding and each time school officials complained that the cuts would force them to reduce expenditures for essential services. But each time, only expenditures for nonessential services were actually reduced. So school officials can implement further cuts without reducing any expenditures for essential services. Which of the following, if true, most strongly supports the mayor’s conclusion?

The status of directors as company insiders or outsiders is crucial to the choices they make regarding chief executive officers (CEO’s). A board of directors dominated by company outsiders is more likely to force out the company’s CEO when the company underperforms than is a board dominated by senior managers of the company, because company underperformance jeopardizes outsider directors’ reputations as experts in decision control. Insider directors, on the other hand, are disinclined to challenge a CEO because their careers are tied to the CEO’s. Differences in their perceived self-interests also help explain insiders’ and outsiders’ differences concerning the choice of a new CEO. When the appointment of a particular CEO would significantly enhance their prestige, outsider directors generally select the candidate, whether or not the candidate is an outsider. However, since directors represent the interests of shareholders, who tend to view the appointment of an outsider CEO more favorably than that of an insider, especially when an incumbent CEO is forced to resign, a board dominated by outsider directors ordinarily appoints an outsider CEO. In contrast, a board with a large proportion of insider directors usually prefers an insider CEO both because policies developed and implemented by the directors are less likely to be altered substantially and because there is usually less turnover of senior managers after the new CEO is appointed. The information in the passage suggests that the decisions made by boards of directors regarding CEO’s are

City codes stipulate that homeowners are responsible for maintaining any utility service lines on their property – including those for water, gas, and electricity – but not for maintaining any parts of such lines outside the property boundaries.