Suppose that m and n are two positive integers such that m< n, their least common multiple is 294, and their greatest common divisor is 7. In the table, select a value for m and a value for n that are jointly consistent with the given information. Make only two selections, one in each column.

A study examining ninety large cities found that in those with more kilometers of bicycle paths and roadway bicycle lanes per capita, higher percentages of the population commute to work by bicycle. For this reason the study concluded that adding bicycle paths and lanes is an effective way to encourage commuters to bicycle rather than drive.
Which of the following, if true, would most weaken the reasoning in the study'

• A. City residents are unlikely to commute along bicycle paths or lanes that do not provide direct, efficient routes between their homes and their workplaces.
• B. A large percentage of urban bicycle commuters commute via roadway bicycle lanes but use bicycle paths mainly for recreation.
• C. On average, cities with climates more pleasant for bicycling have fewer kilometers of bicycle lanes and paths per capita than those with harsher climates.
• D. Even in communities with extensive bicycle paths and roadway bicycle lanes, many commuters drive rather than bicycle to work because of the perceived danger of bicycling in traffic.
• E. The higher the percentage of a city's population commutes by bicycle, the stronger political pressure there is for the city to add bicycle paths and lanes.

According to the passage, organizational ecology studies support which of the following statements regarding structurally equivalent organizations?

• A. Organizations that share access to scarce raw materials compete with each other less intensely than do those that share access to common labor markets.
• B. Organizations that benefit from advantages such as knowledge spillovers are better able to adapt to market changes than are organizations that benefit from intrinsic advantages such as proximity to consumers.
• C. Organizations in industries with intense competition for scarce vital resources experience higher failure rates than do those in which such resources are widely available.
• D. Organizations that compete intensely within local population boundaries ultimately benefit from the increased competition soured by colocation.
• E. Organizations that are situated near each other compete with each other more intensely than do those that are situated in different geographical locations.

The manager of 6 employees, Employees A-F, will select a committee by choosing exactly 3 of the employees to be on the committee. The manager's supervisor recommended that Employee A not be chosen If either Employee C or Employee F (or both) is chosen.
Select for Number if recommendation not followed the maximum number of selections the manager has available If the recommendation is not followed, and select for Number If recommendation is followed the maximum number of selections the manager has available If the recommendation is followed, so that the selections are jointly consistent with the given information. Make only two selections, one in each column.

Allergies are on the rise in industrialized nations because improved hygiene has eliminated the microbes that, upon exposure, prompt infants' allergy-iihWrjng immune-system responses. Any ill effects of the rise in allergies, however, have been more than offset by the reduction in infant mortality caused by the elimination of pathogens. Further, current research suggests that future atergy-prevention therapies will compensate for the absence of beneficial microbes.
The statements above, 4 true, most strongly support which of the following?

• A. The rise in allergies has been accompanied by the development of effective treatments for the symptoms of those allergies.
• B. The prevalence of allergies will not continue to increase while substitutes for the beneficial microbes needed to prevent allergies are stiff being sought
• C. Advances in prenatal care for expectant mothers have contributed to the reduction in the infant mortality rate.
• D. A family history of allergies does not elevate the risk that a child will develop allergies to food and other allergens.
• E. Increases In allergy seventy probably will not raise overall death rates unacceptably before therapies to prevent allergies become available.