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GMAT Questions and Answers

Question # 6

Of the 45 households in a certain neighborhood, 28 subscribe to Newspaper Q, 17 subscribe to Newspaper R, 12 subscribe to Newspaper S, 7 subscribe to both Q and R, 8 subscribe to both Q and 5, and 9 subscribe to both R and 5. The number of households who subscribe to all three newspapers is equal to the number of households who subscribe to none of the three newspapers. If 39 of the households subscribe to at least one of the three newspapers, how many households subscribe to only one of the newspapers?

A.

15

B.

21

C.

27

D.

33

E.

36

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Question # 7

What is the value of ac(1 — b) ?

(1) bc = c

(2) ac = 1

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 8

We need not, however, asaibe careerist motivations to all movement participants, some may have them, but others may aim to amass prestige and influence simply because they fervently believe in the movement's intellectual merit.

A.

ascribe careerist motivations to all movement participants,

B.

always ascribe careerist motivations to every movement participant; while

C.

uniformly ascribe careerist motivations to movement participants who, since

D.

ascribe careerist motivations to all movement participants whenever

E.

uniformly ascribe careerist motivations to movement participants:

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Question # 9

Which of the following most logically completes the passage below?

Mayor: Commuters working in Ornville must cross either North Bridge or South Bridge. During impending repair work at the North Bridge toll plaza, North Bridge will remain

open to traffic, but the usual 25 cent toll will not be collected. So as not to lose toll revenue overall, the city plans to temporarily raise the toll on South Bridge by 20 cents.

The plan is likely to accomplish its objective, since more commuters currently use South Bridge, and ________.

A.

the current toll for South Bridge is 20 cents

B.

substantial amounts of toll revenue collected at South Bridge will go toward paying for the repairs at the North Bridge toll plaza

C.

very few commuters could switch from one bridge to the other without serious inconvenience to themselves

D.

the rates for commuters’ monthly bridge toll passes will not increase

E.

at both bridges, tolls are currently collected not only on vehicles entering Ornville but also on vehicles leaving Ornville

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Question # 10

With globalization, companies often save on costs by paying lower wages abroad rather than by enhancing the abilities of their domestic workers, and this helps explain why productivity in many countries has been high over the last decade even as, despite year-to-year variation, domestic wages and job creation have barely grown.

A.

even as, despite year-to-year variation, domestic wages and job creation have barely grown

B.

despite year-to-year variation, domestic wages and job creation have barely grown

C.

even though, though there has been year-to-year variation, domestic wages and job creation have barely grown

D.

though domestic wages, despite year-to-year variation, and job creation have barely grown

E.

even, as despite year-to-year variation domestic wages and job creation have barely grown

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Question # 11

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

A.

lower failure rates in an industry are not necessarily a result of better performance

B.

geographic concentration of production is a result of higher founding rates

C.

access to scarce resources is less important for the success of a new organization than is proximity to consumers

D.

structurally equivalent organizations compete with one another for consumers In the same market

E.

certain geographical regions offer intrinsic advantages that can benefit a particular industry economically

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Question # 12

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.

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Question # 13

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 properties In Year 2 than in Year 1, 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 2and a number for Year 3that 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.

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Question # 14

Journal

The editor of Metathesis, a new academic journal of literature, manages the peer-review of articles submitted for publication. The journal accepts articles focusing on any of three general subject areas: comparative literature, modernist literature, and postcolonial literature.

When an article is submitted, the editor has the article peer-reviewed by exactly three experts, none of whom authored or coauthored the article. The table (see the Reviewers/Authors tab) consists of all the authors or coauthors who have recently submitted articles and all the experts who currently peer-review or have recently peer-reviewed those articles. It also lists the general subject areas for each of the authors and reviewers.

Each author of each submitted article specializes in the general subject area of the article. Moreover, each recently submitted article was peer-reviewed by experts listed in the table.

Review Rules

Suppose that Farkas and Kenyatta were both selected as reviewers for a certain recently submitted article. For each of the following statements, select YesM the statement must be true, based on this supposition and the Information provided. Otherwise, select No.

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Question # 15
A.

0 ≤ m ≤ 90

B.

90 ≤ m ≤ 180

C.

0 ≤ m ≤ 360

D.

180 ≤ m ≤ 360

E.

0 ≤ m ≤ 360

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Question # 16

A scientist collected eight samples (Samples 1-8) from various surfaces in a laboratory to test for the presence of defferent types of bacteria For each of the samples, the graph shows the relative abundance of each of three types of bacteria (Bacteria X, Y, and Z) detected in the sample, as a percentage of all Bacteria X, Y, and Z detected In the sample.

Select the options from each drop-down menu that create the most accurate statement based on the information provided.

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Question # 17

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.

For each of the following statements about the researchers' study, select Yes if

that statement accurately reflects the information provided. Otherwise, select No.

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Question # 18

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Question # 19

The table provides data about 12 different Persian rugs currently available for sale by a rug dealer. For each rug, the data includes the number of knots per square inch (KPSI) in the yarn, which is consistent throughout the rug.

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Question # 20

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.

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Question # 21

(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.

Statement (1) ALONE Is sufficient but statement (2) alone Is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) atone Is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE Is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 22

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.

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Question # 23

The graph shows the total annual revenue. In US dollars (US$), from sales of each of 2 competing health-care products for 10 consecutive years. Product 1 was first sold In Year 1, and Product 2 was first sold ki Year 2.

From each drop-down menu, select the option that creates the most accurate statement based on the information provided.

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Question # 24

A company is considering replacing its periodic offsite face-to-face meetings with ones that can be conducted online In a virtual environment. The company calculated Its costs for each face-Io-face meeting as well as the initial one-time costs necessary to set up online meeting capabilities. Once those capabilities are established, the company incurs negligible additional costs for each subsequent meeting. The graphic shows the one-time cost to the company for the virtual meetings as well as the total costs for the face-to-face meetings. For example, if the company conducted 5 face-to-face meetings, then the total costs to the company for the meetings would be approximately US$20,000.

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Question # 25

Intuition guides people in making Judgments by using learned associations that automatically surface as feelings. As people gain experience in a field, they learn to associate the defining characteristics of phenomena with particular feelings and many of their Judgments can become automatic. For example, rather than going step-by-step through a decision tree, experienced car mechanics will often, after a quick look and listen, intuitively identify the problem.

Which of the following statements is most strongly implied by the Information above?

A.

An experienced car mechanic does not need to deliberate about most judgments related to that field.

B.

Judgments made on the basis of intuition are rarely wrong.

C.

Most quick Judgments are made on the basis of intuition.

D.

An experienced car mechanic will often be guided by feelings when diagnosing problems with cars.

E.

Judgments made on the basis of a decision tree are less likely to be correct than those made on the basis of intuition.

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Question # 26

(1) x is an even integer. (2)* Is greater than 0.

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE Is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 27

Because of the positive correlation across animal species between body size and home range size, researchers suspected that body size of female mallards (a species of duck) may influence their home range size. The researchers also reasoned that younger females may be forced into less suitable habitats by older females competing with them for optimal areas, with the younger females compensating by having larger home ranges. However, their research supported neither suspicion. The failure to detect variation of range size according to body size may be due to other, undetermined mallard attributes (for example, body condition) that may have been a significant factor affecting home range size. The fact that most yearling females can breed may help to explain why the expected age effect was not confirmed, since home range size may be affected by breeding capability.

The researchers did find, however, that home range size of females was Inversely related to the percentage of the study area composed of seasonal or semipermanent wetlands. This may have been because of reduced competition for breeding space within the species when more of the wetlands were present. They also found home range size to decrease somewhat as the percentage of wood-shrub habitat increased, suggesting that reduction in visual contact among mallard pairs may reduce interaction and thus reduce competition among breeding pairs.

The author's purpose in making the statement that most yearling female mallards are able to breed is most likely in order to

A.

explain the lack of corroboration from the study for the prediction that younger females may have larger home ranges than older females

B.

help confirm that home range size is affected by breeding ability

C.

support the point that younger females do not tend to have larger home ranges than older females

D.

explain a finding that younger females tend to have smaller home ranges than older females

E.

help explain why yearling female mallards apparently have home ranges of the same size as those of older female mallards

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Question # 28

Percy Julian's research on the industrial synthesis erf soybeans Into steroids and the low mator contributions to twentieth-century chemistry

A.

despite working in relative obscurity, were major contributions

B.

despite the fact that he worked in relative obscurity, were major contributions

C.

despite working In relative obscurity, was a major contribution

D.

although he was working in relative obscurity, were major contributions

E.

even though he worked In relative obscurity, was a major contribution

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Question # 29

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.

A.

taken—and indeed discussed extensively in—sources that

B.

taken from sources—and indeed discussed extensively—that

C.

taken from—and indeed discussed extensively in—sources that

D.

taken from—and indeed discussed extensively—in sources that

E.

taken—and Indeed discussed extensively—from sources that

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Question # 30

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 information in the passage most strongly supports which of the following claims about the samples of lunar material brought back from the Moon by the Apollo astronauts?

Scientists for whose experiments JSC-1A would suffice are not regarded as entitled to obtain material from the samples.

A.

Only scientists working on the development of simulants of lunar regolith have access to the samples.

B.

The samples were of all the major types of lunar regolith.

C.

The samples' ingredients included some cinder cone from lunar volcanoes.

D.

Only one of the samples contained ilmenite.

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Question # 31

The passage takes up the issue of aggregation of data in order to

A.

show how it provides a basis for minimizing large variations in the amount of goods produced over time and thus reduces costs

B.

consider the possibility that it masked the applicability of the production smoothing model for individual firms

C.

contrast the use of inventory as buffer with its use to smooth production

D.

describe a method of extracting meaningful information from slight individual variations

E.

provide a reason why the production-smoothing buffer model is inadequate to represent the actual situation of production

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Question # 32

Which of the following is a claim made in the passage?

A.

Microwaves are invisible to the human eye.

B.

Light travels more slowly through water than through cold air.

C.

Light travels at a constant speed through cool air.

D.

Light travels more slowly through air than through a vacuum.

E.

Light changes its speed when it changes its direction.

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Question # 33

Taking as her focus Bengali-language books of household advice, the author traces how colonialism gradually reconfigured daily domestic life, with the result that familial and domestic authority, once held by elder women, was replaced by that of the modern colonial husband.

A.

familial and domestic authority, once held by elder women, was

B.

elder women’s authority was in familial and domestic matters

C.

authority over familial and domestic matters held by elder women was

D.

elder women, the authorities in familial and domestic matters, were

E.

the authority of elder women in familial and domestic matters was

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Question # 34

Psychologist: People tend instinctively to impose patterns on events even when such patterns are not really present. If early humans believed that a rustle in the grass indicated a dangerous predator when it was just the wind, they were more likely to survive than if they believed that it was just the wind when a dangerous predator was there. Thus, in a world of split-second interactions between predators and prey, a person who made an error of the first type was more likely to survive than a person who made an error of the second type. So the tendency to make the first type of error is probably due to__________.

Which of the following would, if true, most logically complete the psychologist's argument?

A.

evolutionary processes affecting the human species

B.

a decision people make to avoid taking risks

C.

a widespread fear of dangerous animals

D.

a tendency to treat hidden perils as more dangerous than obvious perils

E.

anxiety to avoid the first type of error

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Question # 35

Which of the following, if true, would most undermine the reasoning offered for the claim that gray markets can in certain conditions lead to increased profits among authorized retailers?

A.

More consumers have become price-sensitive over the last ten years and this trend will continue for the foreseeable future.

B.

Gray markets typically remain strong even in markets where authorized retailers have introduced service enhancements.

C.

Price wars among authorized retailers, triggered by the appearance of gray markets when few, if any, consumers are price-insensitive, lead to a cycle of increasing price reductions that severely narrow profit margins.

D.

Authorized retailers who are competing for the business of price-insensitive consumers often become involved in a cycle of expensive service enhancements that significantly narrow profit margins.

E.

Manufacturers who fear that gray marketing will tarnish their brand names sometimes subsidize advertising for authorized retailers, thereby narrowing the manufacturers' profit margins.

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Question # 36

Medical researcher: A study tracked fluid consumption by thousands of middle-aged peopte for several years. During the study, the people who drank the least fluid were the most Beefy to develop kidney disease. Thus, for such peopte, increasing dairy fluid consumption is likely to prevent the development of kidney disease.

Which of the following, if true, would most weaken the medical researcher's argument?

A.

A majority of the people in the study who drank less than average amounts of fluids dkl not develop kidney disease during the study.

B.

People suffering from kidney disease in middte age often increase their daify fluid consumption in response to acquiring the disease.

C.

A majority of the people in the study who already had kidney disease when the study began had been drinking less than average amounts of fluid for years.

D.

People suffering from several common medical conditions that often result in kidney dhease tend to feel less thirsty and thus drink less fluid.

E.

A majority of the people in the study who decreased their dairy fluid consumption during the study developed kidney disease.

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Question # 37

Automobile manufacturers improved the miles-per-gallon performance of their cars 60 percent between 1973 and 1988, but this trend now seems to be reversing: as 1996

year when the cars going into junkyards were getting better gas mileage than the ones rolling off dealers’ lots.

A.

as 1996 was the first year when the cars going into junkyards were getting

B.

as 1996 was the first year that the cars that had gone into junkyards got

C.

with 1996 as the first year that the cars going into junkyards got

D.

1996 was the first year when the cars that had gone into junkyards were getting

E.

1996 was the first year in which the cars going into junkyards got

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Question # 38

Even those residents who had not been born in the region, nor were their ancestors, had become fully integrated into the local community.

A.

region, nor were their ancestors, had

B.

region—neither had their ancestors—had

C.

region—and whose ancestors had not been either—had

D.

region, whose ancestors were not either, had

E.

region, which their ancestors had not, had

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Question # 39

Today a certain cinema multiplex has exactly two showings (an early showing and a late showing) for each of five films (Rims A, B, C, D, and E). All of these showings occur after noon, and each showing consists of the film only, with no previews, announcements, or advertisements. The following gives the duration of each film and the start time for each showing:

• Film A (90 minutes); 3:45 and 5:30

• Film B (100 minutes); 1:30 and 7:15

• Film C (105 minutes); 2:00 and 6:00

• Film D (115 minutes); 5:00 and 8:00

• Film E (125 minutes); 12:15 and 7:00

Statement: The early showing of Rim ---------1 overlaps with at least part of both showings of Film ----------2.

Select for / and for 2 the options that complete the statement so that It Is accurate of the showings listed in the Information provided. Make only two selections, one in each column.

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Question # 40

The graph summarizes data on a sample of 100 automobiles requiring warranty service within one year of purchase. Each automobile required service in exactly one of seven categories. For each category, the frequency\& the number of automobiles in the sample requiring service in that category; the cumulative frequency\s the total number of automobiles in (he sample requiring service in that category or in any of the categories to the left in the graph. In the graph, the frequency scale is on the left and the cumulative frequency scale is on the right.

From each drop-down menu, select the option that creates the most accurate statement based on the information provided.

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Question # 41

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.

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Question # 42

∆ABC has sides whose lengths, in centimeters, are x, y, and z. If x < y < z, is ∆ABC a right triangle?

A.

Statement (1) ALONE is sufficient but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone Is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE Is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 43

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.

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Question # 44

If k is a constant, what is the slope of the line with equation

A)

B)

C)

D)

E)

A.

Option

B.

Option

C.

Option

D.

Option

E.

Option

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Question # 45

In the xy-plane, circle C is centered at the origin and has radius 1, and line k has equation y= x. Which of the following are the coordinates of a point that lies on circle C and line k?

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Question # 46

Kevin, Leo, and Max each received a monetary award for their work on project X. If the total of the 3 awards was $705, was the average (arithmetic mean) of the 3 awards equal to the median of the 3 awards?

(1) Kevin's award was $235.

(2) Leo's award was S70 greater than Max's award.

A.

Statement (1) ALONE Is sufficient, but statement (2) alone Is not sufficient.

B.

Statement (2) ALONE Is sufficient, but statement (1) atone Is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER ate NOT sufficient.

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Question # 47

If n is a positive integer greater than 1 and n integers are added together, is the sum even?

(1) n is even.

(2) Exactly n- 1 of the integers are odd.

A.

Statement (1) ALONE is sufficient, but statement (2) atone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 48

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 49

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 50

A lottery box contains 8,000 tickets, each of which is red or blue or green. The box contains twice as many blue tickets as red tickets. The number of green tickets is 20 more than the number of red and blue tickets combined. Which of the following Is the best approximation to the probability that the first ticket randomly drawn from the box will be blue?

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Question # 51

What is the remainder when the positive integer k is divided by 5?

(1)

When k is divided by 9, the remainder is 1.

(2)

When k is divided by 10, the remainder is 1.

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 52

At his high school, Marlon is the only member of the track team who is also a member of the tennis team. His weight of 68.5 kilograms is the median weight of the 9 members of the track team and is also the median weight of the 7 members of the tennis team. If the total weight of the members of both teams is 960 kilograms, then the median weight of the members of both teams is how many kilograms greater than the average (arithmetic mean) weight of the members of both teams?

A.

4.5

B.

6.5

C.

8.5

D.

10.5

E.

12.5

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Question # 53

A.

Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.

B.

Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.

C.

BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.

D.

EACH statement ALONE is sufficient.

E.

Statements (1) and (2) TOGETHER are NOT sufficient.

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Question # 54

A)

B)

C)

D)

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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