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GMAT Graduate Management Admission Test (2022) Question and Answers

Question # 4

If the perimeter of triangle AXB is 11, which of the following could be the length of side AB?

A.

None

B.

I only

C.

III only

D.

I and II

E.

II and III

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Question # 5

1) The range of the seven term is 5.

2)

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 # 6

What is the value of n ?

(1) Twice n equals n plus 8.

(2) n times n equals 8n.

A.

Statement (1) ALONE is sufficient, but statement (2) atone 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 # 7

Triangle 7 is in the (x,y) coordinate plane. What is the area, in square coordinate units, of triangle Tl

(1) Triangle 7"is an isosceles right triangle.

(2) Triangle 7"has 1 side that is longer than each of the other 2 sides, and the midpoints of the other 2 sides are (5,6) and (5,3).

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 # 8

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 # 9

The law imposes criminal liability on corporate officials who are responsible for distributing food and drug products if they fail to fulfill their specific duty for implementing measures to ensure that violations of safety rules do not occur.

A.

who are responsible for distributing food and drug products if they fail to fulfill their specific duty for

B.

responsible for distributing food and drug products but fail to fulfill their specific duty to

C.

who are responsible for distributing food and drug products but who fail to fulfill a specific duty:

D.

who ate responsible for distributing food and drug products, failing to fulfill their specific duty for

E.

responsible for distributing food and drug products that fail to fulfill a specific duty,

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Question # 10

The primary purpose of the passage is to

A.

utilize a theoretical model to compare two sales tactics

B.

explain the rationales for the adoption of each of two alternative sales tactics

C.

illustrate ways in which a salesperson might employ each of two sales tactics

D.

clarify why each of two sales tactics is appropriate for a particular type of product line

E.

demonstrate how different product lines require different sales tactics

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Question # 11

Government regulations in Nation X require that milk products labeled "organic" come from cows that have access to pasture. Many industrial dairies have begun using the organic label on their products even though their cows spend most of their milk-bearing lives confined to feed lots eating grain. Critics charge that industrial dairy cows spend too little time grazing in pastures for their milk to bear the organic label, but the cows' owners insist that the animals are in good health and show no signs of discontent.

Which of the following would it be most useful to establish in order to determine whether the industrial dairies' use of the organic label complies with government regulations?

A.

The average amount of grass eaten by a cow from an industrial dairy that uses the organic label, as compared to the average amount of grass eaten by a cow from a smaller organic dairy farm

B.

By what criteria a cow is considered to be "in good health," according to government regulation

C.

The nutritional value of the milk labeled organic that is produced by cows from industrial dairies

D.

The effects on milk prices of the wider use of the organic label

E.

The meaning of "access to pasture," as stipulated by government regulation

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Question # 12

The primary purpose of the passage is to

A.

explain why some of the subjects in the study did not commit the conjunction fallacy

B.

discuss why the conjunction fallacy is a mistake

C.

Identify an area In which mathematical probability theory needs to make further advancements

D.

illustrate how the formulation of choices in terms of betting can eliminate certain forms of ambiguity

E.

describe the conjunction fallacy and consider evidence as to whether it is in fact widely committed

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Question # 13

Riya: Chinese firms have had more success expancfing Wo East Africa than have firms from certain other countries in Asia, Europe, and North America. The Chinese government has coordinated with Chinese firms to have Chinese cultural productions, such as television dramas and news, translated into Swahili. These efforts helped gain acceptance by residents of the region for the Chinese firms that have expanded into the region. Thus if the governments of the other countries with businesses that seek to expand into East Africa were to emulate the Chinese government's approach, their businesses would find Just as much success.

Which of the following most clearly identifies an assumption on which Riya's argument depends?

A.

Producers of cultural productions in Europe, North America, and the other Asian countries would be willing to distribute them in East Africa free of charge.

B.

Residents of East Africa have not developed a long-lasting preference for Chinese cultural productions over the productions of other non-East African countries.

C.

The Chinese government controls more of the cultural production in its home country than the governments of the other countries control In their home countries.

D.

The non-Chinese firms seeking to expand Into East Africa will not compete directly with the Chinese firms that are already established there.

E.

Translating cultural productions such as television shows Into Swahili is not the only intervention by the Chinese government in support of Chinese firms.

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Question # 14

TV critic: Contrary to popular belief, the densely plotted script of modern television comedy typically demands far more insight from the viewer than did the crude products of the past Although much recent television comedy is inane, this does not mean that television is being "dumbed down." Today's worst programs should be measured not against the best and most renowned products of yesteryear but rather against the worst.

In the TV critic's argument, the two portions in boldface play which of the following roles?

A.

The first is a premise on which the argument relies; the second is also a premise, and is used to clarify the significance of the first.

B.

The first is a claim that logically contradicts an assumption in the argument; the second is a conclusion of the argument, but not the argument's main conclusion.

C.

The first states an opinion that Is irrelevant to the argument; the second is the argument's main conclusion.

D.

The first suggests a potential objection to the main conclusion of the TV critic's argument; the second sets out a principle meant to address that objection.

E.

The first is the conclusion of another argument that the TV critic's argument is intended to refute; the second is a general principle to which the TV critic's own argument appeals.

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Question # 15

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.

A.

that the Federal Reserve will be compelled to cut interest rates in order to avert a recession

B.

that averting a recession will compel the Federal Reserve to cut interest rates

C.

of averting a recession by the Federal Reserve being compelled to cut interest rates

D.

of the Federal Reserve's being compelled into cutting interest rates in order to avert a recession

E.

of compelling the Federal Reserve into cutting interest rates in order that a recession is averted

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Question # 16

Economist: In Nation X, the number of unsold homes on the market recently reached a twenty-year high. The last time the number of unsold homes was that high, a severe economic recession soon followed. Therefore, the nation's economy is almost certainly about to suffer another severe recession.

The economist's reasoning is most vulnerable to criticism on which of the following grounds?

A.

It confuses a claim about the number of unsold homes on the market with a more general claim about an overall economic recession.

B.

It overlooks the possibility that even if one phenomenon causally contributes to another, the latter sometimes, but not always, causally contributes to the former.

C.

It overlooks the possibility that other severe economic recessions In Nation X may have occurred when there were not an unusually large number of unsold homes on the market.

D.

It fails to address adequately the possibility that one phenomenon may closery follow another by coincidence.

E.

It fails to address adequately the possibility that a severe economic recession may itself cause more homes to remain on the market unsold.

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Question # 17

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?

A.

If both bills are passed, violations of at least one of the new laws will undoubtedly occur.

B.

If both bills are passed, the amount of nonbiodegradable plastics that reach Berlandia's landfills will soon increase over present levels.

C.

The cost of products made from recycled plastics will increase significantly unless neither bill Is passed.

D.

If a plastic product contains a significant amount of recycled material, that product will probably not contain biodegradable materials as well.

E.

Eventually, only plastics that are biodegradable will be sold in Berlandia, whether or not both bills are passed.

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Question # 18

The passage mentions “high-frequency changes in inventory” (see bolded text) in order to

A.

explain how rapidly the process of inventory change can be effected

B.

isolate the causal factors that contribute to the changes in production that have been observed

C.

show how the concept of inventory is identical to the concept of buffer stock

D.

identify a kind of event that can help determine whether producers actually use inventories in the way described

E.

demonstrate that when changes in inventory are fast enough, efficient smoothing of production is achieved

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Question # 19

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

A.

the similarity of the physical structure of lunar regolith from different areas of the Moon

B.

the nature of the tests for which the lunar regolith simulants were originally developed

C.

the impracticality and expense of individually producing a unique simulant for each of many different lunar locations

D.

the similarity of chemical composition of lunar regolith and terrestrial volcanic soils

E.

the difficulty of obtaining simulant components from widely scattered quarries and mines

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Question # 20

The passage most strongly suggests that the author agrees with which of the following?

A.

There was not significantly less coverage by trees and other vegetation in Victoria after European immigrant settlement than before it.

B.

Average groundwater levels in Victoria probably increased after European immigrant settlement.

C.

Dahlhaus's examination of early cartographic evidence convinced him that European immigrant settlement was a significant factor contributing to soil salinity in Victoria.

D.

The impact of European immigrant settlement on the environment in Victoria does not explain soil salinity there.

E.

The main source of soil salinity in Victoria has been wind and rain transporting salt from the sea.

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Question # 21

Many oppose the national economic planning program that the government is Initiating because they fear that It will Impair the ability of corporations to make rational economic choices. But that program will never work anyway. There Is no reason, therefore, to expect the negative effect those people fear.

A.

The argument above depends on which of the following assumptions?

B.

Attempting to make the program work would not impair the ability of corporations to make rational economic choices.

C.

If a toss of rational economic choices occurred, a decline In productivity would result.

D.

The program would work If private businesses were left with some freedom to make economic choices.

E.

Those who reject the program view such a plan as a measure of last resort.

F.

Those who support the program do not believe that it would affect the ability of corporations to make rational economic choices.

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Question # 22

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 # 23

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.

A.

product; there was very little that it could have done different in the short term

B.

product, there was very little they could have done different in the short term

C.

product, so there was very little could be done differently by the firm in the short term

D.

product, there was very little possible in the short term for them to do differently

E.

product, there was very little that the firm could have done differently in the short term

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Question # 24

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.

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Question # 25

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 # 26

In order to better control traffic at a certain busy intersection, a study was conducted to determine how many vehicles passed through the intersection during various times of day and what trajectories they took. For each possible trajectory (combination of direction from which a vehicle entered the intersection and direction to which it exited the Intersection), the graph shows the number of vehicles passing through the intersection during a certain hour.

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Question # 27

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.

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Question # 28

Executive: For this year, our firm's advertising budget for Brand X is four times that for last year, but only half that for the year before last. For each year, for each of our

brands, our advertising budget is 10 percent of the average (arithmetic mean) of two amounts: the brand's projected sales for the year and the brand's actual sales for the

preceding year. Actual sales of Brand X last year were $5.23 million.

Statement A: Given the executive's statements, a journalist could infer what this year's advertising budget for Brand X is if she knew what the amount of

was.

Statement B: Given the knowledge of this year's advertising budget for Brand X, if the reporter also knew Brand X's actual sales for the year before last, she could also

infer :

Select for A and for 8 two different options that, if inserted in the blanks, create statements that are supported by the statements attributed to the executive. Make only

two selections, one in each column.

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Question # 29

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Question # 30

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 # 31

Select from the drop-down menus the options that create the statement that te most clearly supported by the Information In the graph.

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Question # 32

(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 # 33

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?

A.

The results in both the auction and negotiation scenarios contradicted the

researchers' hypotheses.

B.

The results in the auction scenario were consistent with the researchers’

hypotheses, but the results in the negotiation scenario contradicted the

researchers' hypotheses,

C.

The results in the negotiation scenario were consistent with the researchers’

hypotheses, but the results in the auction scenario contradicted the

researchers! hypotheses.

D.

The results in both the auction and negotiation scenarios were consistent

with the researchers’ hypotheses.

E.

Neither the results in the auction nor the negotiation scenarios are relevant

to the researchers’ hypotheses.

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Question # 34

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 # 35

Both high blood cholesterol and lack of exercise are associated with hypertension. One hypothesis—regarding the former association—is that hypertension does not cause high blood cholesterol but that high blood cholesterol does cause hypertension. A second hypothesis—regarding the latter association—is that physical exercise reduces hypertension.

A researcher has proposed a new theory about biochemical interactions in human blood. This theory entails that physical exercise reduces blood cholesterol levels solely as a result of its effects on hypertension. The researcher's theory necessarily_____1_____the first hypothesis if it_____2_____the second hypothesis.

In the table, select a word or phrase to fill in Blank 1 above and a word or phrase to fill in Blank 2, such that the completed sentence makes the most clearly correct statement given the information provided. Make only two selections, one in each column.

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Question # 36

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 # 37

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Question # 38

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 # 39

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.

According to the information provided, which of the following attributes is an advantage of HFC network architecture as compared with FTTH architecture?

A.

Lower new cable deployment costs

B.

Lower maintenance expenses

C.

Greater longevity of coaxial cable

D.

95% lower internal equipment deployment costs

E.

90% lower customer installation costs

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Question # 40
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 # 41

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 # 42

A.

-6

B.

-2

C.

2

D.

6

E.

12

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Question # 43

What is the value of x + y?

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 # 44

  • A +b is an even integer.
  • ab is an even integer.
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 ace 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 # 45

Which of the following is the area of the triangle?

A)

B)

29

C)

D)

58

E)

A.

Option A

B.

Option B

C.

Option C

D.

Option D

E.

Option E

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Question # 46

If m is an integer and m = 1032 – 32, what is the sum of the digits of m?

A.

257

B.

264

C.

275

D.

284

E.

292

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Question # 47

In the figure above, circular regions and represent sets of integers and every integer greater than 2 is in Mor A, or in both. Is the integer 11 in the shaded region?

(1) Mrepresents the set of integers greater than 2 that are not prime.

(2) Mrepresents the set of odd integers greater than 2.

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 # 48

If the closing price of stock X on the first trading day last year was $10, was the closing price of stack X at least $5 on each of the trading days last year?

(1) Last year, the highest closing price of stock X was twice the lowest closing price of stock X.

(2) The highest closing price of stock X last year was $16.

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

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 # 50

(1) x= y

(2) x < 1

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 # 51

If x ≠ 0, for which of the following sets of numbers is the average (arithmetic mean) equal to the median?

A.

I only

B.

II only

C.

III only

D.

I and II only

E.

I, II, and III

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Question # 52

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 # 53

A certain investment of $2.000 earns interest at a fixed annual rate, with interest paid monthly to the investor. If the monthly interest payment is $10, what is the annual interest rate?

A.

3.6%

B.

4.8%

C.

5%

D.

5.5%

E.

6%

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Question # 54

As shown in the diagram, Diagonal Drive, which is straight and level, connects A and B. While Diagonal Drive is closed for repairs, drivers starting at A must take a detour and travel 3 miles due south, then 8 miles due west, and finally due south to arrive at B. How many miles long is Diagonal Drive from ,4 to Bl

(1) Before Diagonal Drive was closed, driving on it from A to 5 at an average speed of 30 miles per hour took 20 minutes.

(2) The total distance drivers drive south on the detour is 4 miles less than the length of Diagonal Drive between A and B.

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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