The only prime factors of the positive integer n are 2,3, and 5. What te the value of n ?
Last year the amounts of electricity an electric company supplied to 4,117 residential properties and 2,504 commercial properties were recorded to the nearest thousand kilowatt-hours and summarized in the graph shown. The median of the amounts of electricity recorded is In which of the following categories?
Is x2– X positive?
Last year a company gave bonuses to a number of employees, but only in the three amounts of $750, $1,500, and $7,350. If the total amount of the bonuses was $64,800
and each of the three amounts was given to at least one employee, what is the fewest number of bonuses that the company could have given to employees last year?
What is the area of triangle ADC shown in the figure?
(1) The ratio of the length of line segment AD to the length of line segment DB is 1 to 3.
(2) The area of triangle ABC is 8.
In a certain nursery, 15 percent of the plants developed a fungus and died. If 40 percent of the plants that developed the fungus did not die, what percent of the plants in the nursery developed the fungus?
A quantity of solution that is 3% salt by volume was mixed with a quantity of solution that is 9% salt by volume to produce a quantity of solution that is 4% salt by volume. How many liters of the 9% solution were used?
(1) The quantity of 3% solution was 5 times the quantity of 9% solution.
(2) The quantity of 4% solution produced was 150 liters.
Each element in A belongs to C.
Each element in D belongs to B.
Jack's 1996 salary was x percent greater than his 1995 salary, and his 1997 salary was y percent greater than his 1996 salary. Kate's 1996 salary was y percent greater thar
her 1995 salary, and her 1997 salary was x percent greater than her 1996 salary. Was Jack's 1997 salary equal to Kate’s 1997 salary?
(1) Jack’s 1995 salary was equal to Kate’s 1995 salary.
(2) The dollar increase in Jack's salary from 1995 to 1997 was equal to the dollar increase in Kate's salary from 1995 to 1997.
At a certain used-book store, the cost of each paperback book is x dollars and the cost of each hardcover book is y dollars. What is the cost of a hardcover book at the store?
(1)
At the store, the cost of 3 paperback books and 5 hardcover books is $12.25.
(2)
At the store, the cost of 9 paperback books and 15 hardcover books is $36.75.
A set of 5 numbers has a range of 40. The smallest of the numbers is 10. Which of the following CANNOT be a number in this set?
A)
B)
C)
D)
D)
last year Country X generated 3 times as many kilowatt-hours of electricity as Country Y, but both countries generated the same amount of electricity from nuclear power plants. If Country X generated * percent of Its electricity from nuclear power plants, what percent of Country Y*s electricity was generated from nuclear power plants?
A)
B)
C)
D)
2k
E)
3k
For each international call made to Country B last month, a certain telephone company charged a customer $075 to connect the cal plus a certain per-minute rate applied to each minute or part of a minute of the duration of the call. If the telephone company's total charge for the customer's calls to Country B last month was $84.00, what was the per-minute rate, in dollars?
(1) The telephone company connected 12 calls for the customer to Country B last month.
(2) If the telephone company had no connection fee last month but had charged a per-minute rate that was 20 percent greater than the rate the customer was actually charged, then the total charge for the customer's calls to Country B last month would have been $90.00.
Company A’s gross profit from producing and selling 1,000 units of its product was what fraction of its cost of producing the 1,000 units?
The color red has been shown to induce greater aggression in people than the
color blue. Researchers conducted a study to determine whether such colorinduced aggression could influence the amount that consumers were willing to
pay for an identical product in online auction and online negotiation scenarios.
The researchers photographed a single item against each of four background
colors: blue, gray, white, and red. Using a computer, each participant in the study
viewed the item against exactly one of the four background colors. Half of the
participants were told the item was up for auction and were asked to submit their
highest bid for the item. The other half of the participants were told to negotiate
a price with the seller and were asked to offer the highest amount that they
would be willing to pay for the item.
The researchers expected that participants who viewed the red background
would typically behave more aggressively than those who viewed the blue
background, Among the auction group, the researchers hypothesized that more
aggressive participants would submit higher bids as they tried to beat other
potential bidders, Among the negotiation group, the researchers hypothesized
that more aggressive participants would make lower offers as they tried to
compete against the seller to get the best deal.
Which of the following statements most accurately describes the relationship
between the study's results and the researchers’ hypotheses?
The table gives Information about teacher absenteeism in 21 school systems worldwide for 2012-2013. For each school system, the table gives the country where It Is located, the number of teachers It employed m 2012-2013, the average number of days those teachers were absent, and the percent of those teachers who were chronically absent (absent 18 or more days).
For each of the following statements, select Yes if, based on the information provided, it can be inferred that the statement is true. Otherwise, select NO.
A certain local bakery operates 7 days a week. On Monday of next week, the bakery will begin a new schedule for baking 3 specialty breads. Under the new schedule, millet bread will be baked on Monday of next week and will be baked again every other day thereafter (Wednesday, Friday, and so on). Seven-grain bread will also be baked on Monday of next week, and will be baked again every third day thereafter (Thursday, Sunday, and so on). Pumpernickel bread will be baked on Tuesday of next week and will be baked again every third day thereafter. The schedule will continue indefinitely, and these 3 breads will not be baked at any times other than those specified.
In the table, select First day for none of the J for the day of the week on which, for the first time under the new schedule, none of the 3 specialty breads will be baked; select Second day for none of the 3'forthe day of the week on which, for the second time under the new schedule, none of the 3 specialty breads will be baked. Make only two selections, one in each column.
Elena has worked as a real estate agent for exactly 3 years—Years 1, 2, and 3. In Year 1, she sold exactly 16 properties. She sold more proper and more properties in Year 3 than in Year 2. The average (arithmetic mean) number of properties she sold per year for the 3 years was 19.
Select a number for Year 2 and a number for Year 5 that could be the total numbers of properties Elena sold in Year 2 and in Year 3, respectively, so that the selections are jointly consistent with the information provided. Make only two selections, one in each column.
The graph shows the mean, the median, and the mode of monthly rents for apartments in a certain European city in 2008, 2009, and 2010. During each of these years, a large number of the residents of this city rented apartments. All of the rents were In whole euros (€).
Select from the drop-down menus the options that create the statement that K most strongly supported by the information provided.
The color red has been shown to induce greater aggression in people than the
color blue. Researchers conducted a study to determine whether such colorinduced aggression could influence the amount that consumers were willing to
pay for an identical product in online auction and online negotiation scenarios.
The researchers photographed a single item against each of four background
colors: blue, gray, white, and red. Using a computer, each participant in the study
viewed the item against exactly one of the four background colors. Half of the
participants were told the item was up for auction and were asked to submit their
highest bid for the item. The other half of the participants were told to negotiate
a price with the seller and were asked to offer the highest amount that they
would be willing to pay for the item.
The researchers expected that participants who viewed the red background
would typically behave more aggressively than those who viewed the blue
background. Among the auction group, the researchers hypothesized that more
aggressive participants would submit higher bids as they tried to beat other
potential bidders. Among the negotiation group, the researchers hypothesized
that more aggressive participants would make lower offers as they tried to
compete against the seller to get the best deal.
Assuming the researchers’ hypothesized link between offers and aggression is
correct, for each of the following background colors select More aggressive if, on
average, participants in the negotiation group in the study behaved more
aggressively when the product was displayed with that background color than the
participants did when the product was displayed with a gray background.
Otherwise, select Not more aggressive.
A company processes boxes that have a number of different dimensions. Based on the dimensions of the boxes, the company classifies all of them In three categories. A, B. and C. The table Ms some examples of boxes, their Dimensions, and their classification categories.
(1) The telephone company connected 12 calls for the customer to Country B last month.
(2) If the telephone company had no connection fee last month but had charged a per-minute rate that was 20 percent greater than the rate the customer was actually charged, then the total charge fa the customer's calls to Country B last month would have been $90.00.
A motorist passing through an unfamiliar city needs to fill her car's fuel tank soon, well before she leaves the city, and needs to minimize her expenses. Nearby is the King Petrol station, offering the correct fuel for 2.OX) euros per liter. She has seen about one petrol station every 2 kilometers (km) of driving, on average, though distances vary. Prices at different petrol stations appear to vary randomly by up to 10%: roughly 2 km behind her in her journey she saw the correct fuel for 1.81 euros per liter. The fuel efficiency of her car under the current driving conditions is about 10 liters per 100 km. She could get a small amount of fuel at one station to allow her to drive to another station within the city.
On the basis of the information in the passage, select for Reason to stop the factor that most clearly provides a logical reason for the motorist to stop at the King Petrol station. And select for Reason not to stop the factor that most clearly provides a logical reason for the motorist not to stop at the King Petrol station. Make only two selections, one in each column.
Client: You've recommended that we use humor In our new radio advertising campaign. Why be funny on the radio when we haven't been funny in advertising campaigns for
other media?
Advertising director: Because humor on the radio is very engaging. Two other common approaches to radio advertising-using announcers and producing short catchy songs or jingles—are both so inherent In the existing radio programming that commercials using those two approaches often get tost in the programs. Humor, on the other hand, Is rare —so rare it stands out and engages completely.
The advertising director's argument depends on an assumption of cause and effect. Indicate by an appropriate selection which of the statements In the table most accurately describes the cause of such an effect, and which most accurately describes such an effect. Make only two selection one in each column.
Archaeologists have excavated two ancient sites, Site A and Site B, each containing bowls and dishes. A third site containing similar vessels (bowls and dishes), Site C, Is known to have existed but has not yet been located. The vessels have been dated to three successive 40-vear-long time periods (Mil).
The dishes that were found are small and plain and were made primarily for everyday use. For each site, the average population at the site for a period is known to be roughly proportional to the number of dishes found that were dated to that period.
The bowls are more elaborate, decorated In either a curvy or a rectilinear style. They were made primarily for ritual use. The numbers of bowls found indicate the level of wealth of the site's inhabitants during the period to which the bowls were dated (with greater numbers indicating greater wealth).
Documents found at Sites A and B establish that exactly 18 of the dishes found at Site A were manufactured at Site C; otherwise, all of the vessels were made at the sites where they were found.
For each of Sites A through C, select Yes If the Information provided Indicates that the population at that site was both greater in Period II than Period I and greater in Period III than in Period II. Otherwise, select No.
An orchestra conductor « planning the group's next concert. The orchestra will play a total of 3 pieces, and the conductor requires the total playing time of the 3 pieces to be at least 90 minutes but no more than 120 minutes. The pieces the conductor is considering are listed below with the approximate playing time.
First the orchestra will play one of two preludes:
• Prelude A (10 minutes)
• Prelude 8 (28 minutes)
Next they will play one of two classical piano concertos:
• Concerto A (32 minutes)
• Concerto B (48 minutes)
Finally they will play one of two romantic symphonies:
• Symphony A (35 minutes)
• Symphony B (41 minutes)
Based on these approximate lengths, select for Piece X and for Piece K two different pieces so that Piece X will be played before Piece Y, and if the conductor chooses Piece X, then in of def to comply with the given time constraints, the conductor must also choose Piece Y. Make only two selections, one in each column.
Which of the following statements most accurately describes the relationship between the study's results and the researchers’ hypotheses?
Researchers studying long-term changes In regional mouse populations have found that by focusing on the populations of a rare but widespread and easily identifiable species of mouse (Species X), they can make fairly accurate estimations about the total regional mouse populations.
In a report on a recent study that Included the data tables that follow, the researchers provided some addenda:
1. "The Species X population of Region CV increased by 123,995 between 1990 and 2005.
2. In contrast, the Species X population of Region EW declined by about 52% during that same time.
The answer to which one of the following can be determined by using the information in the passage and tables?
For each of the background colors, the graphic shows the average (arithmetic
mean) of the maximum prices that the participants who viewed the item with that
background reported that they were willing to pay for the item. Results are shown
for bath the auction and the negotiation scenarios.
Assuming the researchers’ hypothesized link between offers and aggression is
correct, for each of the following background colors select More aggressive if, on
average, participants in the negotiation group in the study behaved more
aggressively when the product was displayed with that background color than the
participants did when the product was displayed with a gray background.
Otherwise, select Not more aggressive.
Select from each drop-down menu the option that creates the statement that most accurately reflects the information in the graph.
The age groups of India reflected on the vertical axis for which the population is projected to be higher in 2050 than it was in 2010 are the age groups that are above Select...
The age groups of India reflected on the vertical axis for which the population is projected to be lower in 2050 than it was in 2010 are the age groups that are below Select...
Which of the following is a claim made in the passage?
Wildlife management seeks to ensure that there are sufficient numbers of reproductive adults, particularly adult females, to maintain the population of any particular species at a level sustainable by the environment. This Involves setting upper limits, by sex and age, on the number of animals that hunters may take during specified periods of the hunting season. To determine these upper Smlts, wildlife managers plan to collect data about the sex and age of animals killed by hunters during each hunting season, by examining random samples of the animals' teeth. They will then use the resulting information to set the upper limits for the following year's hunting season.
Which of the following, if true, most strongly supports the prediction that the managers' plan, if implemented, will achieve the stated goal of wildlife management?
A series of financial reports in recent months has portrayed an economy that is slowing sharply, thus raising expectations that the Federal Reserve v.ill be comp.. -xi to cut interest rates in order to avert a recession.
In none of the archaeological sites where floor mosaics were found, not even in those one that like Alarna or Gaanip had well-preserved mosaics in them, there was any evidence of Greek artisans having worked there.
Editorial: For the past two years, our dty has used photo radar to enforce speed limits at several Intersections, automatically photographing cars, measuring their speeds, and mailing tickets to offending drivers. In the second year of the program, the annual number of violations observed by photo radar dropped by 5 percent. This shows that the program has been effective at reducing speeding on the monitored streets.
The editorial's reasoning is most vulnerable to criticism on which of the following grounds?
The passage suggests most strongly that in the presence of certain economic conditions, gray markets will encourage authorized retailers to
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'
Accounting for 330 known species, the parrot is widespread in tropical regions of several continents, most of them brightly colored, with strong hooked beaks and short legs.
It can be inferred from the passage that Sorenson and Audia's argument differs in part from the economic explanations mentioned in the highlighted text in that Sorenson and Audia claim that
Which of the following would, if true, most help substantiate the highlighted claim In the first paragraph?
Many of the examples In the new book about the Kamuxa culture were taken—and researchers in the nineteenth century but were not available until very recently.
By understanding the fundamental nature of human immune response, scientists can both study ways to reduce excessive activity of the immune system. such as occur in
autoimmune diseases like diabetes, and to amplify the immune response, as a new way of fighting diseases like cancer.
Which of the following statements concerning the valence model and the approach-withdrawal model most accurately reflects information provided in the passage?
It can be inferred from the passage that which of the following has been the effect of the increasing involvement of managers in informal networks?
The passage mentions “high-frequency changes in inventory” (see bolded text) in order to
Daniel: Historically, railroads substantially altered the course of the United States economy, enabling the country to enjoy unprecedented growth in the nineteenth century.
Robert: It's true that growth required cheap inland transportation, which railroads provided. But with government support similar to the massive land grants that subsidized rapid railroad expansion, canals and roads could have had the same effect.
Which of the following is most likely a point that Robert believes is at issue between Daniel and himself?
Percy Julian's research on the industrial synthesis erf soybeans Into steroids and the low mator contributions to twentieth-century chemistry
Sorenson and Audia would most likely agree with which of the following statements about the intrinsic advantages mentioned in the highlighted text?