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Question #1

CORRECT TEXT

The following appeared as a letter to the editor from the owner of a skate shop in Central Plaza.

"Two years ago the city council voted to prohibit skateboarding in Central Plaza. They claimed that skateboard users were responsible for litter and vandalism that were keeping other visitors from coming to the plaza. In the past two years, however, there has been only a small increase in the number of visitors to Central Plaza. and litter and vandalism are still problematic. Skateboarding is permitted in Monroe Park, however, and there is no problem with litter or vandalism there. In order to restore Central Plaza to its former glory, then, we recommend that the city lift its prohibition on skateboarding in the plaza."

Write a response in which you discuss what questions would need to be answered in order to decide whether the recommendation and the argument on which it is based are reasonable. Be sure to explain how the answers to these questions would help to evaluate the recommendation.

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Correct Answer: The given letter describes in detail the recommendation of the owner of a skate shop in the central plaza. The letter mentions that the city council had prohibited and imposed restrcitions on the usage of skateboard in the central plaza.though the argument in the letter deems to be possible, there are various illsutration and dearth of facts that makes the arguement placed in the letter to be weak and it is also subject lo be undermined.

Firstly, the number of other factors have not been considered or taken into account. there must be simple and logical solution stated for the menace stated by the authorities. The owner has not stated or even refuted the argument of the council which makes the argument to be flawed. The other fcators have to be questioned and the reasons on how to stop them in future need to be introspected.

Secondly, comparative statement about the other park has been stated in an ambiguous manner and the owner has failed to mention clear and concrete illustrations, paradigm question needs to be. if both the parks are of the same kind and the same nature. They should also be in a position to answer the question pertaning to the prohibitive mechanism and also the differences between the parks. I would also like to question if both the plazas follow the same protocol and litter control norms.

Thirdly, failed to mention on how the the factor of lilting the band and restriction would be advantageous for the general public and the city council. This argument is also not supported. There might be several other reasons except the prohibition that causes only a small increase in the number of clientele. For instance, the local population.;! better plaza nearby.

Question #2

CORRECT TEXT

No act is done purely for the benefit of Claim: others

All actions―even those that seem to be done for other people―are based on self-interest.

Reason-Write a response in which you discuss the extent to which you agree or disagree with the claim and the reason on which that claim is based.

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Correct Answer: We live in an altrustic world where being selfish and self centred have become commonplace It is human nature to be selfish and think for one self as stated in the claim, at time s even when we tend to act for three wellbeing and goodness of other it is hidden and implied there would be a reason for the action I strongly agree with the given claim and also the reason on which the claim is based upon

Firstly, every action that is being done by humans, the hughest and most evolved form of animals tend to have certain primitive features still attached. The simple act of placing oneself and then close ones in priority when in terms of decision making. For example, people always make sure that they have fulfilled their own needs and sometimes they ensure that their wants are also fulfilled. This trait of humans would never change and it would be the same even in the future Even in the dystopian literature and the novels that I have come across humans have never been projected as a selfless creature.

Secondly, the phlight of the reason is imperative to be understood. The claim is being bolstered and strengthened through the reason The word’ All actions" might sound a bit hyperbole and may be exagerated but in general most for he actions done by people for the welfare of the others would have a significant and crucial feature in the their own wellbeing. To illustrate, my friend used to teach us certain chapters and concepts in high school later he revealed tat teaching us helped him to understand the concepts and even remember them even better As stated above, the claim is certainly true to a greater extent, however the reason might be blown out of proportion. Just as how selfishness is a human triat so is selflessness.

To conclude, human life is filled with balances always, people tend to be good for the others and might expect certain benefits for themself This inherent trait at least keeps the sense of helping tendecy alive. Hence I would agree that even when people act for the other it would have some tangible or intangible benefit for oneself.

Question #3

CORRECT TEXT

Colleges and universities should require their students to spend at least one semester studying in a foreign country.

Write a response in which you discuss the extent to which you agree or disagree with (lie claim. In developing and supporting your position- be sure to address the most compelling reasons and or examples that could be used to challenge your position.

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Correct Answer: Educational institutions have played a vital role in forming the basis and the foundation for any student. Many places of study nowadays encourage students to travel and explore new places of study and also explore the possible learning experiences across the globe. I personally agree with the given statement that each individual should be encouraged to travel and study from various places which would improve not just their knowledge but also enhance their exposure to the various cultural and anthropological features in the foreign place.

I have always been inquisitive and eager to know about the eastern culture and the tradition and even many of the languages. If I get the opportunity to travel and study I will be fortunate to experience the nuances of the culture first hand. To add on. in person experience leaches a student about the inclusive nature of the individual in a new environment. It would also show them the various ideas and theories about their field of study.

For example, my friend who studied architecture went to japan for a semester and he was amazed by the kind of buildings and the kind of patterns the people had used. It helps us to understand the various possibilities and the various horizons that we might not even be exposed to if we do not travel.

It is significant and important for every person to travel to the new places in order to explore about the learning options and also to learn about themselves. Universities are the place where on get sthe opportunity to learn as much as and even make any errors as they are a student. Learning possibilities and options are open and they get to learn and explore as much as possible.

To conlcude. I have alwasy believed that a student is someone who has been boundaries or borders for learnign and he ought to explore as much as possible beyond the geographical barriers.

Question #4

CORRECT TEXT

The following appeared in a letter to the editor of a Batavia newspaper

"The department of agriculture in Batavia reports that the number of dairy farms throughout the country is now 25 percent greater than it was 10 years ago. During this same time period, however, the price of milk at the local Excello Food Market has increased from SI.50 to over $3.00 per gallon. To prevent farmers from continuing to receive excessive profits on an apparently increased supply of milk, the Batavia government should begin to regulate retail milk prices Such regulation is necessary to ensure fair prices for consumers."

Write a response in which you discuss what questions would need to be answered in order to decide whether the recommendation is likely to have the predicted result Be sure to explain how the answers to these questions would help to evaluate the recommendation

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Correct Answer: The letter states a proposal to act as a solution for a given problem. It states that milk producers have increased the price of milk inspite of an increase in the supply, which enables them to receive excessive profits. The given suggestion is that government intervention might be a possible solution for addressing this issue. The proposal has given only a subjective view but has failed to prove how the government intervention might help them reach the required outcome through valid evidences.

Firstly. The letter has failed to address the population growth in the region of Batavia. in the event of considering the supply and demand in a place. It is crucial to take into consideration the population of the place the equal proportion of the growth in the number of dairy farms This might lead to many reasons and it could also dissolve the issue if the population outburst might have happened.

Another major issue that the letter has failed to address is the impact of the general rpice inflation. It is to be understood that in any economy it is imperative that there would be an increase in the price of products and services over a period of time. There could even be an increase in the raw materials, fodder, and medical expenses incurred by the dairy farm owners and milk manufacturers.

The third arbitrary assumption made by the letter would be that the profits are being solely taken by the manufacturers, the labor wages, cost of production and even the cost incurred doing the deliver) might have substantially increased. If various such factors are to be considered then the appropriate solution cannot be just the government intervention and there might be a need for a more comprehensive solution.

To conclude, the letter might appear to have addressed the issue but in reality it has failed to view it from the different dimension and ultimately fails to give a clear responsive view with valued evidences and supportive data.

Question #5

CORRECT TEXT

The following appeared in a memo from the president of Bower Builders, a company that constructs new homes.

"A nationwide survey reveals that the two most-desired home features are a large family room and a large, well-appointed kitchen. A number of homes in our area built by our competitor Domus Construction have such features and have sold much faster and at significantly higher prices than the national average. To boost sales and profits, we should increase the size of the family rooms and kitchens in all the homes we build and should make state-of-the-art kitchens a standard feature. Moreover, our larger family rooms and kitchens can come at the expense of the dining room, since many of our recent buyers say they do not need a separate dining room for family meals."

Write a response in which you examine the stated and or unstated assumptions of the argument. Be sure to explain how the argument depends on these assumptions and what the implications are for the argument if the assumptions prove unwarranted.

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Correct Answer: The memo discusses in detail about the statement s made in order to suppose a suggestion that might get more profits for the firm. It is essential that the statements need to be supported by proper data and facts. The given statement is unsupported and is built upon a basic premise of an expected possibility in the future. The memo states that a change in the manner or pattern in which the house is built will probably be helpful for the company to improve its nature and also profit.

The company believes that they would be able to improve the profit by replacing the dining room space with more space for living room and kitchen, they also focus on state of the art kitchen facilities. It is impertaive that the company states the various assumptions and the basis on which these assumptions would be stated. The company has failed to show and

prove any given data or fact that ought of lead to the evidence that there might be possible increase in the profits.

The preferential choices of the people have also not been stated any where in the passage. The random generalization only weaknes and undermiens the statement. the statement has to be supported with survey from the people or the purchasers which might provide better insights to the given statements.

It is essential for the company to consider the other factors and look into the sales for the holistic perpoective rather that from a profit oriented angle.

The type of assumptions made in the memo are subjective and inclined towards a great extent. which might be flawed in the event of not proving any Isubslantial evidences.

To conclude. I think that it is essential for the company to substantiate the views and assumptions with better data and facts, failing which it would remain to be flawed. Any assumptions needs to be places on valid and reasonable ideas without which the core of the premise would hold no good.

Question #6

CORRECT TEXT

The following appeared in a letter to the editor of a Batavia newspaper

"The department of agriculture in Batavia reports that the number of dairy farms throughout the country is now 25 percent greater than it was 10 years ago. Dunne this same time period, however, the price of milk at the local Excello Food Market has increased from SI.50 to over S3.00 per gallon. To prevent farmers from continuing to receive excessive profits on an apparently increased supply of milk, the Batavia government should begin to regulate retail milk prices Such regulation is necessary to ensure fair prices for consumers."

Write a response in which you discuss what questions would need to be answered in order to decide whether the recommendation is likely to have the predicted result Be sure to explain how the answers to these questions would help to evaluate the recommendation

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Correct Answer: The letter slates a proposal to act as a solution for a given problem. It states that milk producers have increased the price of milk inspite of an increase in the supply, which enables them to receive excessive profits. The given suggestion is that government intervention might be a possible solution for addressing this issue. The proposal has given only a subjective view but has failed to prove how the government intervention might help them reach the required outcome through valid evidences.

Firstly. The letter has failed to address the population growth in the region of Batavia. in the event of considering the supply and demand in a place. It is crucial to take into consideration the population of the place the equal proportion of the growth in the number of dairy farms This might lead to many reasons and it could also dissolve the issue if the population outburst might have happened.

Another major issue that the letter has failed to address is the impact of the general rise in inflation. It is to be understood that in any economy it is imperative that there would be an increase in the price of products and services over a period of time There could even be an increase in the raw materials fodder, and medical expenses incurred by the dairy farm owners and milk manufacturers.

The third arbitrary assumption made by the letter would be that the profit are being solely taken by the manufacturers., the labor wages, cost of production and even the cost incurred during the delivery might have substantially increased. If various such factors are to be considered then the appropriate solution cannot be just the government intervention and there might be a need for a more comprehensive solution.

To conclude, the letter might appear to have addressed the issue but in reality it has failed to new it from the different dimension and ultimately fails to give a clear responsive view with valued evidences and supportive data.

Question #7

CORRECT TEXT

Claim: Governments must ensure that their major cities receive the financial support they need in order to thrive.

Reason: It is primarily in cities that a nation’s cultural traditions are preserved and generated.

Write a response in which you discuss the extent to which you agree or disagree with the claim and the reason on which that claim is based.

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Correct Answer: The claim introduces a major fact of statement that elucidates that the financial support of the government should be concentrated towards the cities and the reason explains a statement that the importance of doing so is for the well fare and the well being in protecting the cultural and the traditional values of the nation.

It is extremely crucial that the traditional and the cultural values of the nation are protected as they create an identity for the individual and also the nation as the whole. But the statement that the cities are the only representation of the cultural and tradition is flawed. I believe that the cultural and the traditional variations and the facts that are ought to be preserved needs to be focused on the towns and the villages also as they contain the roots of the nation. City on the other hand does hold significant buildings, monuments and the historically significant structures that ought to be protected for the safeguarding of the cultural and the traditional importance of the nation.

It is also important for the nation as a whole to protect the facts especially monuments and historical structures that reflect the traditional aspects and the cultural values of the nation. Government funding plays a key role in the establishment of the same as the financial aspects are crucial in protecting the nature of the tradition and culture.

It is also important that the villages. cultural groups and minorities and the linguistic oriented cultural groups are protected and funds should be allocated for the well being and the development of the same. It is essential that the government funds that are allocated must be carefully spent on the factors that influence the cultural and traditional aspects of the nation.

For example, money should be allocated in order to teach, propagate and the spread the local and vernacular languages. Many European countries have been actively doing the same, for over a period of time.

It is also essential for the people as the tradition and culture creates a form of identity for them and the protection of the cultural and the traditional values and aspects strengthens their identity among the world nations.

Question #8

CORRECT TEXT

The following appeared in a letter from the owner of the Sunnyside Towers apartment complex to its manager.

"Last week, all the showerheads in the first three buildings of the Sunnyside Towers complex were modified to restrict maximum water flow to one-third of what it used to be. Although actual readings of water usage before and after the adjustment are not yet available, the change will obviously result in a considerable savings for Sunnyside Corporation, since the corporation must pay for water each month. Except for a few complaints about low water pressure, no problems with showers have been reported since the adjustment. Clearly, modifying showerheads to restrict water flow throughout all twelve buildings in the Sunnyside Towers complex will increase our profits further."

Write a response in which you examine the stated and or unstated assumptions of the argument. Be sure to explain how the argument depends on these assumptions and what the implications are for the argument if the assumptions prove unwarranted.

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Correct Answer: The given letter is from the owner of the Sunny side apartment complex to the manager of the buildings and it is regarding the replacement of the showerheads in the buildings and the statement is made making an assumption that in the future there would be more profit if they make the same changes to more profits.

The owner has stated bis perspective by taking into account a generalized view point and also given the lack of evidentiary values creates a dearth and paucity in the statements made by the owner. The weakness in the statement is purely created due to the general assumption of the owner and not based on the data or substantial evidence of the observation made in the changes in the building.

The Drawbacks have been mentioned by the owner but they have not been considered seriously as negative possibilities that might cause them future expenses. The other important aspect is the lack of the consideration given to the various factors. The owners statement are primarily focused on the profits and they negate all other aspects such as the water pressure and the exact data which he clearly states is unavailable till now.

[Without considering the exact usage of the water based on the number of people who are using, the exact number of shower heads, the total amount of water consumed. the average supply of water in the building, the totla profit that they might make, the overheads cost and the cost of installation of the new shower heads all need to stipulated and then considered on a serious note before they proceed with the changes.

The owner needs to conduct a proer study of the data rather than making a hyperbolic assumption that they would meet profits, given that there is not guarantee for the same.

It is essential for the statement to also consider the extent of profit that they could make (brought the proposed change.

To conclude, it is essential for the statement postulated in the letter to consider more comprehensive aspects before arriving at the conclusion that would only undermine and weaken the perspective of the given letter.

Question #9

A large cube and a small cube are made of granite of uniform density- The large cube has

edges of length 1.2 meters and weighs 4.752 kilograms.

If the small cube has edges of length 10 centimeters, what is the weight, in grains, of the small cube?

  • A . 275
  • B . 396
  • C . 570
  • D . 2.750
  • E . 3.960

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Correct Answer: C
Question #10

For the 3 days shown with the greatest daily number of television viewers, approximately what was the average (arithmetic mean) daily number of television viewers who watched Show XI

  • A . 16 million
  • B . 20 million
  • C . 23 million
  • D . 25 million
  • E . 27 million

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Correct Answer: C

Question #11

In the at-plane, line k intersects the rectangle shown at points P and O.

Which of the following represents the slope of line k ?

A)

B)

C)

D)

E)

  • A . Option
  • B . Option
  • C . Option
  • D . Option
  • E . Option

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Correct Answer: D
Question #12

If one item is tobe randomly selected from the items whose manufacturing cost is greater than $140.

What is the probability that the item selected will be one whose manufacturing time is greater than 60 minutes?

A)

B)

C)

D)

E)

  • A . Option
  • B . Option
  • C . Option
  • D . Option
  • E . Option

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Correct Answer: E
Question #13

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #14

A candy retailer packs pieces of fudge either in boxes of 12 pieces each or in boxes of 15 pieces each. If the retailer uses only 12-piece boxes to pack a certain batch of fudge, then 1 piece will be left over. If the retailer uses only 15-piece boxes to pack the batch, then 10 pieces will be left over and the retailer will use 7 fewer boxes than when using the 12-piece boxes.

How many pieces of fudge are in the batch’1

  • A . 325
  • B . 360
  • C . 385
  • D . 445
  • E . 455

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Correct Answer: C
Question #15

All applicants for a certain job will take a skills test. An applicant who scores 80 percent or greater on the test has a probability of 0.65 of being hired.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #16

The figure shows a semicircle intersected by a straight line in the rectangular coordinate system.

What is the area of the shaded region?

  • A . – 2
  • B . – 4
  • C . 4 – 2
  • D . 4 – 4
  • E . 16 – 2

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Correct Answer: A
Question #17

A)

B)

C)

D)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D

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Correct Answer: D
Question #18

A health club lias SOO members. 175 of whom exercised last Friday and 450 of whom exercised last Saturday. Of the members who exercised on at least one of the two days. 90 exercised both last Friday and last Saturday.

Which of the following statements are true?

  • A . More than 300 of the members exercised last Saturday but not last Friday.
  • B . More than 600 of the members exercised either last Friday or last Saturday or bom.
  • C . More than 400 of the members exercised neither last Friday nor last Saturday.

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Correct Answer: A
Question #19

A total of S72.000 was invested for one month in a new money market account that paid simple annual interest at the rate of r percent- If the investment earned $360 in interest for the month, what is the value of r?

  • A . 5.0
  • B . 6.0
  • C . 6.5
  • D . 7.0
  • E . 7.5

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Correct Answer: B
Question #20

Exhibit.

The 50 households are grouped according to the number of pets per household.

For the group with the greatest number of households having cats only, how many households have dogs only?

  • A . 1
  • B . 2
  • C . 3
  • D . 4
  • E . 5

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Correct Answer: D

Question #21

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #22

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #23

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: B
Question #24

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #25

In triangle ABC, AB = 9 and BC = 12-

Which of the following values could be the perimeter of triangle ABC? Indicate all such values.

  • A . 21
  • B . 25
  • C . 28
  • D . 36
  • E . 43
  • F . 47

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Correct Answer: B,C,D
Question #26

In each of the years after year A", the Alden family budgeted S200 more for savings than it budgeted for savings the previous year.

What is the total amount that the Alden family budgeted for savings over the 10 years beginning with year A"?

  • A . $30,000
  • B . $32,000
  • C . $36,000
  • D . $39.000
  • E . $42,000

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Correct Answer: C
Question #27

The right circular cylindrical tank above has inner dimensions of radius 4 feet and height 10 feet.

What is the greatest possible distance, in feet, between 2 points inside the tank?

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: E
Question #28

At a factory. 6 machines work independently at the same constant rate to produce certain parts.

If 5 of the machines, working simultaneously at this rate, produce a total of 200 such parts in 4 days, how many days will it take all 6 machines, working simultaneously at this rate, to produce a total of 300 such parts?

  • A . 4.0
  • B . 4.5
  • C . 5.0
  • D . 5.5
  • E . 6.0

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Correct Answer: C
Question #29

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #30

CORRECT TEXT

In a sequence of 300 numbers, the first number is 3. the second is 5. and each succeeding number is equal to the sum of the previous two numbers in the sequence.

If a number is to be randomly selected from the sequence, what is the probability that the number selected will be odd?

A)

B)

C)

D)

E)

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Correct Answer: C

Question #31

  • A . 6%
  • B . 12%
  • C . 16%
  • D . 25%
  • E . 29%

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Correct Answer: D
Question #32

Exhibit.

The variance of n numerical data x1, x2, x3, , , , , xn with the mean x is equal to

were S is the sum of the equal differences


for

For the shares of stock purchased and then sold by the investors shown, the mean of the 5 numbers for Stock Y is 50 and the corresponding mean for Stock X is 70.

The variance of the 5 numbers for Stock }’ is what fraction of the corresponding variance for Stock X ?

A)

B)

C)

D)

E)

  • A . Option
  • B . Option
  • C . Option
  • D . Option
  • E . Option

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Correct Answer: E
Question #33

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #34

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #35

If the area of triangle ABC shown is 120. what is the value of x?

  • A . 1
  • B . 2
  • C . 3
  • D . 4
  • E . 5

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Correct Answer: B
Question #36

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #37

If x < y, which of the following must be true?

A)

B)

C)

D)

E)

  • A . Option
  • B . Option
  • C . Option
  • D . Option
  • E . Option

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Correct Answer: D
Question #38

A continuous random variable R has a mean of 77 and a standard deviation of 8.

What is the value of R that is 2.5 standard deviations above the mean?

  • A . 79.5
  • B . 85
  • C . 87.5
  • D . 93
  • E . 97

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Correct Answer: E
Question #39

For which of the following values of v must x’-.x be divisible by 10?

Indicate all such values.

  • A . 480
  • B . 481
  • C . 4S2
  • D . 483
  • E . 484
  • F . 485
  • G . 486
  • H . 487

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Correct Answer: A,B,E,F,G
Question #40

How many values of x are there such that x is an integer and |3x ― 2| < 8 ?

  • A . One
  • B . Two
  • C . Three
  • D . Four
  • E . Five

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Correct Answer: E

Question #41

The cube root of which of the following integers is equal to

  • A . 570
  • B . 3,000
  • C . 9.000
  • D . 27.000
  • E . 216.000

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Correct Answer: B
Question #42

Exhibit.

Greg’s income last year was $45,000. The graph above shows the distribution of his income, by income source.

Based on the information given, which of the following statements about his income last year are true?

Indicate all such statements.

  • A . His income from earnings was $11,250.
  • B . More than j of his income was from assets and earnings combined.
  • C . His income from social security was 56 percent greater than his income from earnings.

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Correct Answer: A,B,C
Question #43

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot lie determined from the information given.

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Correct Answer: C
Question #44

Exhibit.

A group of 3 different investors is to be randomly selected from the 5 investors shown.

What is the probability that, for at least 2 of the 3 investors selected, the number of shares of Stock X purchased and then sold will be less than 1.5 times the corresponding number for stock Y?

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: C
Question #45

Exhibit.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #46

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: A
Question #47

Exhibit.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal
  • D . The relationship cannot be determined from the information given.

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Correct Answer: A
Question #48

Exhibit.

What is the total number of cats and the total number of dogs in the households with 4 pets per household if 2 households have 3 cats and 1 dog per household and 2 households have 2 cats and 2 dogs per household?

  • A . 10 cats and 6 dogs
  • B . 16 cats and 8 dogs
  • C . 20 cats and 20 dogs
  • D . 26 cats and 14 dogs
  • E . 30 cats and 10 does

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Correct Answer: C
Question #49

Exhibit.

For selected minerals, the table shows the mineral content in an apple that weighs 100 grams and also shows the recommended daily allowance of the minerals.

For which of the following minerals is the total amount of the mineral contained in 5 such apples greater than 4 percent of the recommended dietary allowance of the mineral?

Indicate all such minerals.

  • A . Calcium
  • B . Magnesium
  • C . Sodium
  • D . Zinc

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Correct Answer: B
Question #50

A rectangular floor will be completely covered with square tiles, each of which has sides of length 6 inches. If tiles are laid side by side with no space between them and no tiles are cut. then the number of tiles needed to cover the floor is 1.080.

Which of the following could be the dimensions of the floor? (Note: 12 inches- 1 foot.)

  • A . 15 feel by 9 feet
  • B . 15 feet by 18 feet
  • C . 30 feet by 18 feet
  • D . 30 feet by 36 feet
  • E . 45 feet by 36 feet

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Correct Answer: B

Question #51

Exhibit.

Which of the following is closest to the average rate of change, in tonnes per year, for maize production from 2012 to 2017?

  • A . 20 million
  • B . 19 million
  • C . 18 million
  • D . 17 million
  • E . 16 million

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Correct Answer: A
Question #52

In a competition, a certain contestant scored either 2 points or 4 points in each round of the competition. This contestant’s average (arithmetic mean) score for the entire competition was 3.8 points per round.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities arc equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #53

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: B
Question #54

CORRECT TEXT

The list price of a certain snowblower is S600.0O. At Store At the sale price of the snowblower is 10 percent less than its list price, and there is no sales tax. At Store y the sale price of the snowblower is 15 percent less than its list price, plus there is a sales tax of 5 percent of the sale price.

If the cost of the snowblower is equal to its sale price plus any applicable sales tax. how much greater is the cost of the snowblower at Store X than at Store Y?

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Correct Answer: $4.5
Question #55

Exhibit.

In the figure above, the circle has center O, and AB and AD are tangent to the circle. If the degree measures of angles ABC and ADC are 20 and 40. respectively, what is the value of x + y.

  • A . 140
  • B . 160
  • C . 190
  • D . 210
  • E . 240

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Correct Answer: D
Question #56

CORRECT TEXT

The units digit of 7 is v. and the units digit of

What is the value of the product xy

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Correct Answer: xy= 54
Question #57

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: B
Question #58

For a certain type of can. the number of grams of aluminum per can decreased by 20 percent from 1994 to 1998. while the cost per gram of aluminum decreased by 60 percent. If the cost of the aluminum in y cans in 1994 was equal to the cost of aluminum in A v cans in 1998. then k =

  • A . 3.125
  • B . 4.25
  • C . 5.125
  • D . 6.25
  • E . 7.875

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Correct Answer: A
Question #59

CORRECT TEXT

How many positive integers less than or equal to 29 can be expressed as the product of two different integers greater than 1?

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Correct Answer: 15
Question #60

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C

Question #61

The lengths of the sides of triangle RST are 3. 4. and v.

Which of the following inequalities specifies those values of y for which each angle measure of mangle RST is less than 90°?

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D

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Correct Answer: C
Question #62

For a list of k consecutive integers, the median is m and the range is r.

Which of the following must be equal to K?

  • A . m
  • B . r
  • C . m+1
  • D . r-m+1

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Correct Answer: D
Question #63

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #64

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #65

CORRECT TEXT

If the ratio of positive integer x to positive integer y is 4 to 3, then x + y must be a multiple of integer k. where k >I.

What is the value of k?

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Correct Answer: K= 7
Question #66

Exhibit.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #67

An investor purchased two properties. A and B. The investor later sold property A at a selling price that was 20 percent more than the purchase price of A. and the investor sold property B at a selling price that was 40 percent less than the purchase price of B. If the combined purchase price of properties A and B was S200.000 and the combined selling price was S210.000.

What was the selling price of property A?

  • A . $I 60.000
  • B . $I 70.000
  • C . $I 80.000
  • D . $I 90.000
  • E . $200.000

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Correct Answer: C
Question #68

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: B
Question #69

Exhibit.

Which of the following statements are true about the end-of-month stock prices from January to December? Indicate all such statements.

  • A . From one month to the next, if the price of Stock X increased, then the price of Stock Y decreased.
  • B . From one month to the next, if the price of Stock Y remained the same, then the price of Stock X decreased.
  • C . From one month to the next, if the price of Stock Y decreased, then the price of Stock X increased.

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Correct Answer: A,C
Question #70

If a set 5 has a total of 6 subsets that consist of 2 members each, then S consists of how many members?

  • A . Three
  • B . Four
  • C . Five
  • D . Six
  • E . Seven

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Correct Answer: A

Question #71

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal
  • D . The relationship cannot be determined from the information given.

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Correct Answer: B
Question #72

The graph summarizes the responses from 4.500 respondents who rated their degree of confidence in each of eight United States institutions. Each respondent gave each institution one of five confidence ratings: high, moderate, little, none, or undecided.

If 20 percent of the respondents rated both their degree of confidence in the federal government and their degree of confidence in the news media high or moderate, what percent of the respondents gave neither of these institutions a confidence rating of high or moderate?

  • A . 35%
  • B . 40%
  • C . 45%
  • D . 50%
  • E . 55%

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Correct Answer: B
B

Explanation:

The graph summarizes the responses from 4.500 respondents who rated their degree of confidence in each of eight United States institutions. Each respondent gave each institution one of five confidence ratings: high, moderate, little, none, or undecided.



Question #73

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: B
Question #74

CORRECT TEXT

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Correct Answer: answer is as



Question #75

In the figure above, what is the length of AB?

  • A . 15
  • B . 16
  • C . 17
  • D . 18
  • E . 19

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Correct Answer: B
Question #76

Which of the following is greatest?

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: D
Question #77

The graph summarizes the responses from 4.500 respondents who rated their degree of confidence in each of eight United States institutions. Each respondent gave each institution one of five confidence ratings: high, moderate, little, none, or undecided.

Of the respondents who did not rate their degree of confidence in the federal government undecided, approximately what fraction rated their degree of confidence in that institution little or none?

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: B
Question #78

Exhibit

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: A
Question #79

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #80

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C

Question #81

The sequence a1, a2, a3 ,,,,an is defined by

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: B
Question #82

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #83

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #84

The number of employees at a certain company on January 1, 2007, was k. which was 15 percent greater than the number of employees at the company on January 1. 2006.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: A
Question #85

If set 5 consists of the squares of the integers from -5 to 5. inclusive, how many elements are in set S ?

  • A . 5
  • B . 6
  • C . 10
  • D . 11
  • E . 25

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Correct Answer: B
Question #86

In the figure, quadrilateral ABCD is inscribed in the circle and line segment AC is a diameter of the circle. The measure of angle BCD is v degrees, and the measure of angle BAD is v degrees.

What is the value of y in terms of x?

  • A . 2x
  • B . 90+x
  • C . 180 -x
  • D . 180-2x
  • E . 360-2x

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Correct Answer: C
Question #87

CORRECT TEXT

In the figure shown, what is the length of line segment BD ?

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Correct Answer: 5
Question #88

In a set of polygons, 80 percent are hexagons. Of the hexagons. 20 percent are regular hexagons.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: D
Question #89

The perimeter of rectangle ABCD is 20. and the length of each side is an integer.

Which of the following values could be the length of diagonal AC? Indicate all such values.

A)

B)

C)

D)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D

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Correct Answer: A,B,C,D
Question #90

Exhibit.

For what number of pets per household is the total number of households the least?

  • A . 2
  • B . 3
  • C . 4
  • D . 5
  • E . or more

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Correct Answer: A

Question #91

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #92

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #93

In the circle with center O, if the length of minor arc MP is 3, what is the area of square region MOPQ?

  • A . 9
  • B . 12
  • C . 24
  • D . 36
  • E . 144

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Correct Answer: D
Question #94

Stations A. M. and B are located along a certain train route, and Station M is between Stations A and B. At noon, a train engine passed Station A traveling at a constant speed of SO kilometers per hour toward Station B. Also at noon, another train engine passed Station B traveling at a constant speed of 60 kilometers per hour toward Station A. Botli train engines passed Station M at the same time.

What is the ratio of the distance along the route between Stations A and .1/ to the distance along the route between Stations A and B?

A)

B)

C)

D)

E)

  • A . Option A
  • B . Option B
  • C . Option C
  • D . Option D
  • E . Option E

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Correct Answer: D
Question #95

The probability that event R will occur is 0.65. The probability that event T will occur is 0.47.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot he determined from the information given.

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Correct Answer: B
Question #96

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
Question #97

For each integer ;; greater than

I. the sum of the first » positive integers is given by the formula shown.

If the average (arithmetic mean) of the first // positive integers is k. what is the sum of the first n positive integers in terms of 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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Correct Answer: D
Question #98

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot lie determined from the information given.

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Correct Answer: C
Question #99

In a survey of 150 computer owners, 98 owned a primer. 72 owned a digital camera, and all of them owned either a printer or a digital camera or both.

  • A . Quantity A is greater.
  • B . Quantity B is greater.
  • C . The two quantities are equal.
  • D . The relationship cannot be determined from the information given.

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Correct Answer: C
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