Each element in A belongs to C.
Each element in D belongs to B.
Is it true that the point (1,4) in the standard (x,y) coordinate plane is in at most one of the sets A and B?
(1) Set AH the set of all points {x,y) such that 2x + y< 5.
(2) Set 5is the set of all points (x,y) such that y > 3x+ 2.
The cube of one positive real number equals the square of a second positive real number. What is the product of the 2 numbers?
(1) The second number is twice the first number.
(2) The cube of the second number is 32 times the square of the first number.
A port city needed to deepen its 5,000-foot-long and 75-foot-wide shipping channel from a depth of 15 feet to a depth of 25 feet. The dirt that was removed from the channel was shipped to a landfill, which accepted 735,000 cubic feet of the dirt. Approximately what percent of the dirt that was removed from the channel was accepted by the landfill?
Does the positive integer n have at least four positive prime factors?
A certain store purchased grills for $50 each and lawn chairs for $5 each and then sold each grill and each chair. The store's gross profit on each grill was 30 percent of its purchase price, and the store's gross profit on each chair was 50 percent of Its purchase price. If the store sold 5 times as many chairs as grills and If the store's total gross profit on the grills and chairs was $550, what was the store's total revenue from the sale of the grills and chairs?
The level of nitrates was measured and recorded for 10 water samples taken at the bottom of a certain lake and for 10 water samples taken at the surface of the same lake. Was the standard deviation of the measurements from the bottom samples greater than the standard deviation of the measurements from the surface samples?
(1) The least of the measurements from the bottom samples exceeded the greatest of the measurements from the surface samples.
(2) The range of the measurements from the bottom samples was greater than the range of the measurements from the surface samples.
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.
A certain truck averages 10 miles per gallon when driven in the city and 25 miles per gallon when driven on the highway. According to these rates, which of the following is closest to the number of miles per gallon that the truck averages when it is driven 20 miles in the city and 30 miles on the highway?
The median of 3 positive integers is 5. Is the average (arithmetic mean) of the 3 integers greater than their median?
(1)
The least of the 3 integers is 1.
(2)
The greatest of the 3 integers is 10.
The figure above shows a playground with Its dimensions given In meters. What is the area, In square meters, on the playground?
The average (arithmetic mean) of a list of 5 numbers is 50. The sum of 2 numbers in the list is 70 and the sum of 2 other numbers in the list is 110. What is the remaining number in
the list?
Is x2– X positive?
Christa, Jada, and Yvette were swimming laps at an outdoor swimming pool. Christa planned to swim for Cm minutes at a constant speed and swim a total of t~. laps. Jada planned to swim for Jm minutes at a constant speed and swim a total of Jt laps. Yvette planned to swim for Y„ minutes at a constant speed and swim a total of Yi laps. They started swimming at the same time and stopped swimming at the same time when lightning began to occur. If Christa lost 40% of her planned swimming time, which of the 3 swimmers lost the greatest percentage of her planned laps?
The information in the passage most strongly implies which of the following?
When new regulations were imposed on businesses selling in the same markets as Acme Inc. and the demographics began to change unfavorably for its main product: there was very little that it could have done different in the short term.
As discussed in the passage, smoothing production is primarily concerned with
Buoyed by stability and economic growth at home, Russia has developed a foreign policy that seeks to reestablish its place as a key actor on the world stage.
In criticizing the "second approach" to explaining the supposed lack o* rational transformation of the workplace, the author most likely assumes which of the Wowing?
The author implies that if, in the experiment described in the second paragraph, the parasitic wasps had been drawn to the plants after they had been damaged by a razor blade but without application of oral secretions from the caterpillar, then scientists would likely have concluded which of the following?
Wasps are attracted to the plants by the grassy odor released as the caterpillars feed on the plants' leaves.
Which of the following does the passage suggest is true?
Berlandia's senate recently introduced two bills to address the problem of overburdened landfills: one would require that at least 40 percent by weight of the plastics sold in that country be biodegradable, the other that at least 80 percent by weight of plastics sold there be recycled into useful products. One legislator, however, has claimed that biodegradable plastics cannot be recycled into useful products, even if the biodegradables are mixed with other plastics.
The legislator's claim, if true, most strongly supports which of the following?
Though unified in their opposition to drilling in the Arctic, the authors' opposition to drilling elsewhere was less vocal.
The author of the passage most clearly agrees with the claim that the ancestor of
all Indo-European languages
A)
-2
B)
C)
D)
2
E)
4
Until the Apollo astronauts brought samples of lunar material to Earth during 196£-72, scientists believed that the Moon's surface was largely undisturbed, given its dry, airless environment. Examination of the samples has shown otherwise. Micrometeorites, many smaller than a pencil point, constantly rain onto the Moon at up to 100,000 kilometers per hour, chipping materials or forming microscopic craters. Some melt the soil and vaporize and recondense as glassy coats on other specks of dust. Impacts weld debris into lumps of heterogeneous matter called "agglutinates." Complicated interactions with solar particle streams convert iron into myriads of microscopic iron grains. The regdith—pebbles, sand, and dust-from these erosion processes blankets the Moon. Much of the top layer consists of a complex abrasive dust of microscopic glass shards that can grind machinery and sealing devices and damage human lungs.
The Apollo specimens held by the United States are doled out in ultra-small samples to scientists who demonstrate that nothing else will suffice for high-value experiments. Renewed interest In lunar exploration in the late 1980s meant that materials designed to simulate lunar regolith—simulants—were needed for research to develop schemes for lunar building and procedures for extracting elements such as oxygen found abundantly in regolith. That led to the development of JSC-1 in 1993, made of volcanic cinder cone from a quarry in Arizona in the U.S. The more than 22 metric tons made was in high demand. Efforts are now afoot to manufacture 16 metric tons of JSC-1 A, with 1 ton of fine grains, 14 tons of moderately fine, and 1 ton of coarse.
The reason cited in the passage for developing a few root simulants (see highlighting) is
Anouk worked In the sates department at MMC Cellular Phones from January through December. The graph shows Anouks sales volume from March through My. For each of the 4 months, February through May, Anouk's sales increased by a constant number of eel phones over the previous month.
According to the passage, Edelman has made innovations in the study of which of the following?
i. The behavior of multicelular organs
ii. The molecular structure of
animal and plant tissue
III. The overall structure of
complex organisms
Editorial: Since our city's airport is too small to handle increasing air traffic, analysts propose building a second airport to benefit our city's economy by allowing more flights and hence attracting more visitors. But this plan would not succeed. If flights to different cities were inconveniently divided between two airports, fewer travelers would make flight connections in our city.
Which of the following would, if true, most seriously weaken the editorial's argument that the plan would not succeed'
The reasoning in the final paragraph most strongly implies that the author makes which of the folowing assumptions?
Under United States law, a distinctive package design can be legally protected against copying. Lorex shampoo, a leading brand, is packaged in a triangular-shaped bottle with a gold label. A major pharmacy chain has introduced a similar, less expensive shampoo in similarly shaped bottles with plain black-and-white labels carrying the chain's name. Though the triangular shape is distinctive, the manufacturer of Lorex has not legally challenged its use for the chain's shampoo.
Which of the following, if true, provides the strongest reason for the manufacturer of Lorex not to challenge the chain's use of the triangular package design?
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?
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.
Sales promotions can involve selling a product at a relatively low price or selling the product with a free (or seemingly free) unit of the product, as in "buy one, get one free" campaigns. Research shows that immediately following month-long sales promotions, a postpromotion dip may occur, i.e., sales for the following calendar month may be less than sales for the calendar month preceding the sales promotion.
To increase sales, Storex, a department store, held month-long sales campaigns to promote four of its products. A sales promotion was considered successful if unit sales of the product were at least 10% higher in each of the 2 calendar months immediately following the promotion than In the month preceding it.
Experts have offered explanations for postpromotion dip:
• Explanation I: Many consumers stockpile the product at relatively low cost during the sales promotion.
• Explanation II: "Buy one, get one free" promotions cause some consumers to undervalue the product, making them less likely to buy it following the sales promotion.
• Explanation HI: Many consumers who missed a "buy one, get one free" opportunity may, as a result, develop so-called inaction inertia, i.e., become less likely to buy the product at either the regular or even at a discount price than if the sales promotion had not occurred.
Which one of the following is most strongly supported by the sales data, given the other Information provided?
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.
Each of the 75 employees at @ certain company works in exactly one of the company's 3 departments (Departments X, Y, and Z). Exactly 20% of the employees work in
Department X, and 10 fewer employees work in DepartmentY than work in Department Z.
Based on the information provided, select for Departinent Yand Department Zthe numbers of employees who work in Department Y and Department Z. Make only
two selections, one in each column.
Television picture quality improves as resolution increases. However, the resolution at which a given improvement in resolution becomes visible varies with the distance of
the viewer from the screen. As a viewer moves closer to the screen, a given improvement in resolution eventually becomes noticeable, finally conferring its “full benefit” at
a point at which moving closer would not improve the viewing experience.
On the graph, 480p, 720p, 1080p, and 1440p represent four common degrees of resolution: greater numbers indicate greater numbers of pixels on the screen and thus
greater resolution. Shaded portions show the distances at which these resolutions become noticeable, while the broken lines show the maximum distances at which a
viewer with normal eyesight would be expected to experience full benefit—all as a function of screen size. For each resolution and screen size shown, there is a small gap
between the maximum distance for full benefit from the resolution and the minimum distance for noticeable benefit from the next higher resolution.
(Note: 3 feet is roughly 1 meter, and 1 inch is roughly 2.5 centimeters.)
Assuming that the information contained in the graphic correctly applies to all viewers, select from the drop-down menus the options making the statements most
accurate.
The diagram shows the proposed seating assignments at a meeting of students from two schools that are to engage in a Joint science project. Each of the three large circles represents a table. Small blue circles represent students from School X and small white circles represent students from School Y.
From the drop-down menus, select the options that create the statement that is most accurate based on the given information.
Which one of the following is the total number of bowls found at Site B that have no Identified artisan?
The artist has correctly determined that to make the largest possible square grid from the available tiles, she must use all of the except for those in the group of X tiles. Moreover, if she uses all of the tiles except for those in the group with X tiles and those in the group with Y tiles, she could make a smaller square grid.
select for X for Y the values that are consistent with the information provided. Make only two selections, one in each column.
West River Glen is deciding which network architecture should replace its old copper telephone lines. The town will replace 300 miles of Outside Plant (OSP) cable that will serve approximately 2,500 homes.
The first option is to install a Fiber to the Home (FTTH) system architecture that uses fiber-optic cable to transmit signals from the source to each home. The advantages of this architecture include greater bandwidth capabilities, less signal loss, and slightly lower new-cable deployment costs than the second option, Hybrid Fiber-Coax (HFC).
An HFC network integrates fiber-optic cables and devices with coaxial cables.
This will cost the town substantially less money for internal equipment and for customer installations. However, the coaxial cable does not last as long as fiberoptic cable and will thus need to be replaced more frequently, resulting in higher long-term maintenance expenses.
The town believes that either the FTTH or HFC architectures will be capable of serving the communities' data and television needs for the next 30 years.
For each of the following statements, select Yes if the statement can be inferred to be true on the basis of the information provided. Otherwise, select No.
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.
For each of the four types of rooms in a certain hotel in June of last year, the table shows the number of rooms of that type in the hotel and the total number of nights booked, such that each night on which any given room is booked counts as one night booked. For example, because there were 10 rooms of the Garden Family type and there were 30 nights in June, the greatest possible number of nights booked for rooms of the Garden Family type was 10 multiplied by 30, or 300 (of which a total of 164 nights were actually booked). A room was considered vacant on any night on which it was not booked.
For each of the following room types in June of last year, select Yes if the average (arithmetic mean) number of vacancies (instances of a particular room being vacant on a particular night) per night for rooms of that type was greater than 2. Otherwise, select No.
Two positive integers, A and B, each yield the same remainder when divided by 4. Furthermore, A is less than IS. In the table, select values for A and 5that are jointly consistent with the given information. Make only two selections, one in each column.
(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.
At a carnival game, a winning player spins a wheel that always lands on either Prize 1 or Prize 2 to determine which of the two prizes he or she wins. The probability that the prize wheel indicates Prize 2 Is double the probability that It indicates Prize 1. If a player does not want the prize that the prize wheel first indicates, then he or she may spin the wheel again. In such cases, the player must accept whichever prize the prize wheel indicates on the second spin.
Select for Prize I the number nearest to the probability that a winning player who wants Prize 1 will receive Prize 1 after one or two spins of the prize wheel, and select for Prize ^the number nearest to the probability that a winning player who wants Prize 2 will receive Prize 2 after one or two spins of the prize wheel. Make only two selections, one in each column.