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New Pattern Mock Test - 3 - GRE MCQ


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30 Questions MCQ Test - New Pattern Mock Test - 3

New Pattern Mock Test - 3 for GRE 2024 is part of GRE preparation. The New Pattern Mock Test - 3 questions and answers have been prepared according to the GRE exam syllabus.The New Pattern Mock Test - 3 MCQs are made for GRE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for New Pattern Mock Test - 3 below.
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New Pattern Mock Test - 3 - Question 1

Directions: For each sentence, choose one word for each set of blanks. Select the word or words that best fit(s) the meaning of the sentence as a whole.

Q. A responsible business owner may easily feel ______ between her concern for the well-being of her employees and the challenges of financial shortfalls.

Detailed Solution for New Pattern Mock Test - 3 - Question 1
The sentence tells you that a relationship exists between concerns for the well-being of employees and the challenges of financial shortfalls.

The two are being contrasted, so a reasonable prediction would be stress. Scanning the answers, you’ll notice choice (B) tension, which is a synonym for stress, fits perfectly. Choice (A) affinity is the opposite of the prediction. Choice (C) uneasiness is close but does not address the conflict between the two concerns as well as tension. Choices (D) trepidation and (E) dejection are too negatively charged for this context; nothing in the sentence indicates that the business owner is frightened or sad, respectively.

New Pattern Mock Test - 3 - Question 2

Directions: For each sentence, choose one word for each set of blanks. Select the word or words that best fit(s) the meaning of the sentence as a whole.

Q. The controversy surrounding the election dragged on for months, and the lack of a definite victor_____ governance and left people anxious about the future of their leadership.

Detailed Solution for New Pattern Mock Test - 3 - Question 2

The people are anxious because they do not know who will be leading them, which will limit or hinder leadership or governance; your answer will reflect this. Choices (A) facilitated, (B) augmented, and (E) abetted all have meanings of “strengthened” or ”increased.” Choice (D) lowed might be tempting because it resembles ”lowered,” but the verb “low” means to make the sound of a cow. Choice (C) forestalled is the only option that means “restricted” or “slowed down.”

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*Multiple options can be correct
New Pattern Mock Test - 3 - Question 3

Direction: Select exactly two answer choices that best complete the sentence and produce sentences that are alike in meaning.

Q. As the job fair neared to an end, the recent college graduate became ever more ______, desperately trying to befriend prospective employers he had earlier not even deigned to give so much as a cursory glance.

Detailed Solution for New Pattern Mock Test - 3 - Question 3

…’trying to befriend…’, ‘not even deigned’ shows a turn from an aloof condescension to a desperate need to make friends/come across as likeable (A) ingratiating works here because it means trying desperately to win the affection of others. (B) fawning, while slightly different from ingratiating, captures the college graduate’s attempts to win the affection of others through excessive flattery.(C) withdrawn is the opposite of the blank. (D) volatile means prone to changing one’s mood suddenly and unpredictably

New Pattern Mock Test - 3 - Question 4

The yoking of Mahabharata, a major epic of ancient India, to modern history needed a style as varied in tone, form, and (i) __________ as the epic itself, with its numerous (ii) __________ and digressions: the story of India had to come across as a tale of many tellers, even if it is (iii) __________ only to one.

Detailed Solution for New Pattern Mock Test - 3 - Question 4
The sentence talks blending Mahabharata with modern history. It states that this needed a style that varied in tone, form, and something else. The first fill-in thus is a quality of a verse from the family of tone and form. Similarly, the second fill-in should be from the synonym family of "digression." The sentence further states how the story of India had to come across as a tale of many tellers. The use of the phrase "even if" implies that actually this story is thought to belong to one.

Let us look at the meaning of the words in the options for blank (i).

A. idiosyncrasy – a mode of behavior or way of thought peculiar to an individual

B. apothegm – a concise saying or maxim

C. scansion – the rhythm of a line of verse

"Scansion," which means rhythm, fits well in the first blank. "Idiosyncrasy" and "apothegm" are unrelated to the meaning of the sentence.

Coming to the next blank, we require a noun that furthers the idea of changes (digressions). "Modifications" could be a good fill-in here. Let us look at the meaning of the words in the options for blank (ii).

D. interpolations - the insertion of something of a different nature into something else

E. morasses – area of muddy or boggy ground

F. anchorites – religious recluses

"Interpolations," which means weaving together two different things, is the correct answer. "Morasses" and "anchorites" are unrelated to the meaning implied in the sentence.

Now, we look at the third blank. As mentioned before, the fill-in should imply that the story of India is thought to be "attributed" to one teller. Let us look at the meaning of the words in the options for blank (iii).

G. permeated – spread throughout

H. polarized – divide or cause to divide into two sharply contrasting groups or sets of opinions or beliefs

I. ascribed – regard a text, quotation, or work of art as being produced by or belonging to (a particular person or period)

"Permeated" and "polarized" are both unrelated to the meaning expressed in the sentence. "Ascribed" is the correct answer.

New Pattern Mock Test - 3 - Question 5

Directions: For each sentence, choose one word for each set of blanks. Select the word or words that best fit(s) the meaning of the sentence as a whole.

Q. The middle school principal believed that even a minor (i) ________ the rules demanded his attention. Such a thing could not go (ii) ________ if he were to maintain discipline.

In his eyes, obedience and order were of the utmost importance.

Detailed Solution for New Pattern Mock Test - 3 - Question 5
You read that the principal wants to “maintain discipline” and that order is of paramount importance to him. From that context, you can determine that a breaking of the rules will not be tolerated. Make this your prediction for the first blank. The correct match for this is choice (C) infraction of. Both choices (A) adherence to and (B) respect for are the opposite of your prediction. For the second blank, predict that breaking rules could not go unpunished.

Choice (D) unappreciated doesn’t make sense in context, and if the infraction was unobserved, choice (E), the principal wouldn’t know about it.

New Pattern Mock Test - 3 - Question 6

Directions: For each sentence, choose one word for each set of blanks. Select the word or words that best fit(s) the meaning of the sentence as a whole.

Q. Ms. Barnhart, unlike previous executives at the engineering firm, eschews the practice of managing every aspect of the day-to-day activities of her team of managers. Instead, she (i) ________ based on the annual business plan. Ms. Barnhartbelieves that her approach avoids (ii) ________ team morale, which would inevitably and unfortunately occur under (iii) ________ management style.

Detailed Solution for New Pattern Mock Test - 3 - Question 6
The first blank is introduced with the detour road sign "[i]nstead," so what Ms. Barnhart does contrasts with "managing every aspect" of her managers' daily activities. If you know that “eschew” means “to avoid,” this is an additional clue, but even without this information, you can predict that she manages her team with a looser, more hands-off approach. Delineates comprehensive goals, (C), matches the prediction.

Delineate means “to outline,” and comprehensive means “of a broad scope.” Setting broad goals contrasts with managing everything her team does. While nearly every executive seeks to maximize profits, (A) does not fit the context of the sentence. Offers detailed guidance, (B), is the opposite of the prediction.

For the second blank, since what Ms. Barnhart seeks to "avoid" doing to team morale would be "unfortunate," predict that she wants to avoid harming morale. Unnecessarily impairing, (F), works well since impairing means “damaging, making worse.” Neither (D) nor (E) matches the prediction.

Since Ms. Barnhart avoids hurting morale by not overmanaging her people, for the last blank, predict that the management style it describes is too demanding or overbearing. [A]n overly imperious, (G), provides the right meaning for the sentence. Imperious means “controlling” or “domineering.” [A] less stringent, (H), management style would seem to describe Ms. Barnhart’s approach, making (H) incorrect.

Neither management style could accurately be described as apathetic, which means “not caring,” so eliminate (I).

New Pattern Mock Test - 3 - Question 7

Directions: For each sentence, choose one word for each set of blanks. Select the word or words that best fit(s) the meaning of the sentence as a whole.

Q. After getting expelled from school, Patricia refused to attend any future family functions, petrified that her stern family would_________ her.

Detailed Solution for New Pattern Mock Test - 3 - Question 7
Using what you know about the “stern family” and their feelings toward failure, you can predict that the blank will be filled by a word with a negative charge. You can also deduce this negative connotation by Patricia’s fear (she is “petrified”) of seeing her family. (B) deride, “to speak ill of,” is the correct answer; Patricia could reasonably be afraid that these unpleasant people would say mean things to her. Eliminate (A) venerate and (D) emulate, as they both indicate positive feelings.

Choice (C) raze has negative connotations, but it means "physically destroy to the ground," and nothing in the text indicates her family is murderous, just that they are "stern"; the damage Patricia fears is emotional. (E) provoke can be eliminated because, while Patricia might well be provoked, or "angered," by her family's "stern" attitude, the sentence indicates that she is "petrified"—or terrified—of what they would do to her; you cannot deduce that she is afraid of her own reaction to them.

New Pattern Mock Test - 3 - Question 8

Directions: Answer the questions based on the following passage.

Ludwig Wittgenstein asserted that with the publication of his Tractatus Logico-Philosophicus he had solved all philosophical problems and retired to teach mathematics at the secondary level. He believed he had achieved this through his exploration of the logic of language, which he referred to as his “picture theory” of language.

Wittgenstein’s contention was that the world consisted of a collection of interconnected “facts” that created “pictures” of the world through propositions. These propositions are meaningful if they picture matters of empirical fact, such as “Meri is six feet tall.” In order for these linguistic pictures to accurately represent facts, they must have the same logical structure as matters of empirical fact.

The problem is that philosophical propositions, such as “truth is beauty,” are not matters of empirical fact. Since language itself is based on this relationship, philosophers cannot extricate themselves from the realm of language in order to actually say anything about whether or not the “pictures” have the same logical structure as the facts. One important consequence of this argument is that it is nonsensical to discuss philosophical problems. The propositions that philosophers commonly make are not technically wrong but nonsensical. For Wittgenstein, the ultimate goal of philosophy itself is not the actual study or pursuit of “truth.” Philosophy has more to do with clarifying the relationship between language and truth than truth itself. The Tractatus ends up subverting its own claims by concluding that the kind of propositions of which it is composed are senseless.

The most commonly quoted excerpt from the book is the proposition “What we cannot speak about we must pass over in silence.”

Q. The author believes Wittgenstein would likely agree with which of the following statements?

Detailed Solution for New Pattern Mock Test - 3 - Question 8
The passage itself is largely concerned with the philosophical relationship between logical reasoning and language. The author notes that Wittgenstein distinguishes between propositions that are “pictures” of empirical fact and those that are not. The statement “truth is beauty” falls into the latter category. Since it is not a matter of empirical fact, you cannot determine if the linguistic picture (the proposition “truth is beauty”) has the same logical structure as the fact itself. Therefore, it is nonsensical. Choice (D) is your answer.
New Pattern Mock Test - 3 - Question 9

Directions: Answer the questions based on the following passage.

Ludwig Wittgenstein asserted that with the publication of his Tractatus Logico-Philosophicus he had solved all philosophical problems and retired to teach mathematics at the secondary level. He believed he had achieved this through his exploration of the logic of language, which he referred to as his “picture theory” of language.

Wittgenstein’s contention was that the world consisted of a collection of interconnected “facts” that created “pictures” of the world through propositions. These propositions are meaningful if they picture matters of empirical fact, such as “Meri is six feet tall.” In order for these linguistic pictures to accurately represent facts, they must have the same logical structure as matters of empirical fact.

The problem is that philosophical propositions, such as “truth is beauty,” are not matters of empirical fact. Since language itself is based on this relationship, philosophers cannot extricate themselves from the realm of language in order to actually say anything about whether or not the “pictures” have the same logical structure as the facts. One important consequence of this argument is that it is nonsensical to discuss philosophical problems. The propositions that philosophers commonly make are not technically wrong but nonsensical. For Wittgenstein, the ultimate goal of philosophy itself is not the actual study or pursuit of “truth.” Philosophy has more to do with clarifying the relationship between language and truth than truth itself. The Tractatus ends up subverting its own claims by concluding that the kind of propositions of which it is composed are senseless.

The most commonly quoted excerpt from the book is the proposition “What we cannot speak about we must pass over in silence.”

Q. Based on the context of the passage, the author’s use of the word “empirical” most nearly means which of the following?

Detailed Solution for New Pattern Mock Test - 3 - Question 9
The word “empirical” has the meaning of “measurable.” That’s close to choice (A) verifiable by experimentation, which makes sense in the context of the passage. You can’t measure truth or beauty, but you can measure how tall someone is, which is cited as an example of an empirical fact.
*Multiple options can be correct
New Pattern Mock Test - 3 - Question 10

Directions: Select the two answer choices that, when inserted into the sentence, fit the meaning of the sentence as a whole and yield complete sentences that are similar in meaning.

Q. Located in what is perhaps the most geographically remote state in the Union, Hawaii’s isolated Molokai Island is known for its hidden, untouched, and_____ beaches.

Detailed Solution for New Pattern Mock Test - 3 - Question 10

You can infer from the words “isolated,” “hidden,” and “untouched” that the blank must be in line with these adjectives. It wouldn’t make sense for a beach to be hidden, untouched, and (A) morose, “gloomy and sullen,” or (C) dilapidated, “in disrepair or run-down,” so you can eliminate these choices. Choices (D) placid, “calm,” and But the sentence doesn’t rule out the possibility that the beaches could be less than placid, and just because a beach hasn’t been touched yet doesn’t mean it is immune from being disturbed in the future. You are le with choice (B) immaculate, “without stain or flaw,” and (E) pristine, “untouched” or “uncorrupted,” which are both synonyms of the adjectives used elsewhere in the sentence and therefore the correct answers.

New Pattern Mock Test - 3 - Question 11

Directions: Read the following passage and answer the question.

While days of the chain gang are long gone, the effects of meaningful labor during imprisonment demonstrate marked benefits to both the prisoner and society. Some of these benefits take the forms of reduced recidivism, increased job skills and employability, and improved quality of life. In fact, corporations have hired jails to have their inmates perform work from manufacturing to telemarketing.

However, some critics argue that prisoners who work are little more than bonded slaves, earning nothing for their labor and forced to do work that may be beyond their physical or mental capacity. Others are more concerned about the economic factors of cheap, noncompetitive labor or issues involved in giving inmates responsibility for critical components of products or providing them with lists of addresses and telephone numbers.

Q. The author would most likely agree with which of the following sentences?

Detailed Solution for New Pattern Mock Test - 3 - Question 11
This question asks you to evaluate possible explanations and compare them to your understanding of the information in the passage. Choice(A) follows from that portion of the passage in which the author tells you that prisoners see “quality of life” improvements as the result of working. Choice (B) falls completely outside the scope of the passage.

The author says nothing about lawsuits challenging prison work programs. Choice (C) distorts the passage. Telemarketing is one of the jobs prisoners perform, but so is manufacturing (and maybe others).

Nothing suggests that telemarketing firms have the most to gain from using prison labor. Choice (D) is cited as a concern of some critics, but nothing suggests that the author agrees with them. Nor can you determine whether the author would agree with choice (E). The suggestion in (E) might address the concerns of some critics, but again, you don’t know that the author shares those concerns.

New Pattern Mock Test - 3 - Question 12

Directions: Read the following passage and answer the question.

The Terracotta Army, 8,000 terracotta warrior figures guarding the tomb of the first Chinese emperor, Qin Shui Huang (259–210 ), was discovered in Xi’an in northwest China in 1974. The finding was remarkable not only for the sheer number of figures but for the intricate details of each sculpture. While it was a well-developed art form in ancient Greece, sculpture seems to have played only a minor role in ancient Asian art until the ascension of Qin Shui Huang. The variety of ear shapes, hairstyles, and armor among the figures has archaeologists pondering the possibility that the Terracotta Army may be representations of actual individual warriors. Such a level of detail is far beyond that of any known earlier Chinese sculptures.

Experts are searching for an explanation for this seemingly sudden appearance of sophisticated sculpture in ancient China. Recent DNA analysis of human remains found in westernmost China from the period of Qin Shui Huang yielded the surprising presence of European DNA, leading anthropologists to believe that Western contact with China may significantly predate the Silk Road, usually considered the inception of the relationship between these two civilizations. What is even more remarkable, however, is one of the responses to this discovery. Professor Lukas Nickel, an art historian from the University of Vienna, speculates that the presence of the DNA indicates that a Greek sculptor may have been employed at the site of the Terracotta Army to train the locals. Nickel also cites ancient Chinese records that reveal tales of giant statues appearing in the far West, as well as narratives stating that the emperor ordered the casting of copies in bronze that were erected in front of his palace. This account supports the notion of early contact between China and the West, which Nickel says could have inspired the First Emperor not only to duplicate the giant statues but also to build the huge Terracotta Army along with other life-size sculptures. Li Xiuzhen, a Chinese archaeologist specializing in the Terracotta Army, responds that the sculptures “may be inspired by Western culture, but were uniquely made by the Chinese.”

Nickel’s leap from the presence of European DNA in one part of China to his conclusion strains credulity. It is, at best, an interesting hypothesis demanding further evidence and, at worst, a pernicious example of Western cultural elitism wherein artistic developments that parallel or exceed those of Western culture are considered impossible without the impetus of Western influence.

Q. The primary purpose of the passage is to

Detailed Solution for New Pattern Mock Test - 3 - Question 12
The strong language in the last paragraph, “strains credulity” and “pernicious example,” are clear indicators of the author’s disagreement with Nickel’s assessment. A good prediction of the author’s purpose would be to rebut Nickel’s interpretation of the presence of Western DNA in ancient China. (B) matches the prediction and is correct. (C) distorts two aspects of the passage. First, the author is criticizing the interpretation of the DNA evidence, not its authenticity. Second, while the text indicates that Greek sculpture in the 3rd century was more advanced than Chinese sculpture at the time, nowhere does it compare "many characteristics" of the two traditions. The remaining choices can be eliminated by a verb scan. The passage does not (A) compare cultural developments of sculpture, and the neutral verbs (D) discuss and (E) present do not accurately reflect the author’s definite opinion.
New Pattern Mock Test - 3 - Question 13

Directions: Read the following passage and answer the question.

The Terracotta Army, 8,000 terracotta warrior figures guarding the tomb of the first Chinese emperor, Qin Shui Huang (259–210 ), was discovered in Xi’an in northwest China in 1974. The finding was remarkable not only for the sheer number of figures but for the intricate details of each sculpture. While it was a well-developed art form in ancient Greece, sculpture seems to have played only a minor role in ancient Asian art until the ascension of Qin Shui Huang. The variety of ear shapes, hairstyles, and armor among the figures has archaeologists pondering the possibility that the Terracotta Army may be representations of actual individual warriors. Such a level of detail is far beyond that of any known earlier Chinese sculptures.

Experts are searching for an explanation for this seemingly sudden appearance of sophisticated sculpture in ancient China. Recent DNA analysis of human remains found in westernmost China from the period of Qin Shui Huang yielded the surprising presence of European DNA, leading anthropologists to believe that Western contact with China may significantly predate the Silk Road, usually considered the inception of the relationship between these two civilizations. What is even more remarkable, however, is one of the responses to this discovery. Professor Lukas Nickel, an art historian from the University of Vienna, speculates that the presence of the DNA indicates that a Greek sculptor may have been employed at the site of the Terracotta Army to train the locals. Nickel also cites ancient Chinese records that reveal tales of giant statues appearing in the far West, as well as narratives stating that the emperor ordered the casting of copies in bronze that were erected in front of his palace. This account supports the notion of early contact between China and the West, which Nickel says could have inspired the First Emperor not only to duplicate the giant statues but also to build the huge Terracotta Army along with other life-size sculptures. Li Xiuzhen, a Chinese archaeologist specializing in the Terracotta Army, responds that the sculptures “may be inspired by Western culture, but were uniquely made by the Chinese.”

Nickel’s leap from the presence of European DNA in one part of China to his conclusion strains credulity. It is, at best, an interesting hypothesis demanding further evidence and, at worst, a pernicious example of Western cultural elitism wherein artistic developments that parallel or exceed those of Western culture are considered impossible without the impetus of Western influence.

Q. The passage implies which of the following about the sculptures of the Terracotta Army?

Detailed Solution for New Pattern Mock Test - 3 - Question 13
The keyword "implies" identifies this as an Inference question. The "sculptures of the Terracotta Army" are discussed throughout the text, so expect to compare each choice to the passage. (A) and (B) are distortions of the fourth sentence of the first paragraph. Since archaeologists are "pondering the possibility that the Terracotta Army may be representations of actual individual warriors," it is not yet known if these details do (B) or do not (A) represent individuals. (C) is a 180, or opposite, choice. The final sentence of the first paragraph identifies the details of these sculptures as "far beyond" those of earlier sculptures, and the first sentence of the second paragraph described their appearance as "sudden," not based on earlier traditions. (D) is an extreme restatement of Nickel's opinion, with which the author disagrees. That leaves (E), which is not stated directly in the passage, but is supported by the point at issue. If the sculptures were in no way similar to Western sculpture, it is not likely that experts would be debating Western influence. Also, in the last sentence of the second paragraph, the Chinese expert acknowledges the possible inspiration from Western sources.
New Pattern Mock Test - 3 - Question 14

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

The length of each side of rectangle R is an integer, and the

area of R is 36.

Quantity A - The number of possible values of the perimeter of R

Quantity B - 6

Detailed Solution for New Pattern Mock Test - 3 - Question 14
Because the length of each side of rectangle R is an integer and each length is a factorof the area 36, there are 5 possible rectangles: a 1 × 36 rectangle, a 2 × 18 rectangle, a 3 × 12 rectangle, a 4 × 9 rectangle, and a 6 × 6 rectangle.

The perimeter of the 1 × 36 rectangle is 2(1 + 36), or 74.

The perimeter of the 2 × 18 rectangle is 2(2 + 18), or 40.

The perimeter of the 3 × 12 rectangle is 2(3 + 12), or 30.

The perimeter of the 4 × 9 rectangle is 2(4 + 9), or 26.

The perimeter of the 6 × 6 rectangle is 2(6 + 6), or 24.

Since each of the 5 possible rectangles has a different perimeter, Quantity A, the number of possible values of the perimeter, is 5. Since Quantity B is 6, the correct answer is Choice B.

New Pattern Mock Test - 3 - Question 15

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

Q. x = (z - 1)2 and y = (z + 1)2

Quantity A - The average (arithmeticmean) of x and y

Quantity B - z2

Detailed Solution for New Pattern Mock Test - 3 - Question 15
The average of x and y is x + y/2. Since you are given that x = (z − 1)2 and y = (z + 1)2, you can express Quantity A in terms of z as follows

This expression can be simplified as follows

In terms of z, Quantity A is z2 + 1. Since z2 + 1 is greater than z2 for all values of

z, the correct answer is Choice A.

New Pattern Mock Test - 3 - Question 16

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

Q. At a club meeting, there are 10 more club members

than nonmembers. The number of club members at the meeting is c.

Quantity A - The total number of people at the club meeting

Quantity B - 2c − 10

Detailed Solution for New Pattern Mock Test - 3 - Question 16
Since the number of club members is c and there are 10 more members than nonmembers, the number of nonmembers is c − 10. Therefore Quantity A, the total number of

people at the meeting, is c + (c − 10), or 2c − 10. Since Quantity B is also 2c − 10, the correct answer is Choice C.

New Pattern Mock Test - 3 - Question 17

Directions: Select a single answer choice.

Q. In the xy-plane, a quadrilateral has vertices at (-1, 4), (7, 4), (7, -5), and (-1, -5). What is the perimeter of the quadrilateral?

Detailed Solution for New Pattern Mock Test - 3 - Question 17
A sketch of the quadrilateral with vertices at (−1, 4), (7, 4), (7, −5), and (−1, −5) is shown in the xy-plane below.

From the figure you can see that two of the sides of the quadrilateral are horizontal and two are vertical. Therefore the quadrilateral is a rectangle. Since the points (−1, −5) and (7, −5) are endpoints of one of the horizontal sides, the length of each horizontal side is 7 − (−1), or 8. Since the points (−1, 4) and (−1, −5) are endpoints of one of the vertical sides, the length of each vertical side is 4 − (−5), or 9. Therefore the perimeter of the rectangle is 2(8 + 9), or 34. The correct answer is Choice E.

New Pattern Mock Test - 3 - Question 18

Directions: Select a single answer choice.

Q. In right triangle ABC, the ratio of the lengths of the two legs is 2 to 5. If the area of triangle ABC is 20, what is the length of the hypotenuse?

Detailed Solution for New Pattern Mock Test - 3 - Question 18
The ratio of the lengths of the legs of right triangle ABC is 2 to 5, so you can represent the lengths as 2x and 5x, respectively, where x > 0. Since the area of the triangle is 20, it follows that (2x)(5x) / 2 = 20. Solving this equation for x gives x = 2. So the lengths of the two legs are 2(2) and 2(5), or 4 and 10, respectively. Therefore, by the Pythagorean theorem, the length of the hypotenuse is . This square root can be simplified as follows.

The correct answer is Choice E.

New Pattern Mock Test - 3 - Question 19

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

Q.

AB = BC

Quantity A - x

Quantity B - 120

Detailed Solution for New Pattern Mock Test - 3 - Question 19
Note that there are four angles in the figure: the three interior angles of triangle ABC and the exterior angle at vertex A. Since the measure of the exterior angle at vertex A is x degrees, it follows that the measure of interior angle A is (180 − x)°. Also, since AB = BC, it follows that triangle ABC is isosceles and the measures of interior angles A and C are equal. Therefore the measure of interior angle C is also (180 − x)°. Since the sum of the measures of the interior angles of a triangle is 180° and you are given that the measure of interior angle B is 40°, it follows that

40 + (180 − x) + (180 − x) = 180.

Solving the equation for x gives x = 110. Since Quantity B is 120, the correct answer is

Choice B.

*Multiple options can be correct
New Pattern Mock Test - 3 - Question 20

Directions: Select all the answer choices that apply.

Q. The distribution of the numbers of hours that students at a certain college studied for final exams has a mean of 12 hours and a standard deviation of 3 hours. Whichof the following numbers of hours are within 2 standard deviations of the mean of the distribution?

Indicate all such numbers.

Detailed Solution for New Pattern Mock Test - 3 - Question 20

The standard deviation is a measure of how spread out numbers are. In this case, 2 standard deviations would be 2*3 = 6 hours. This means that any number of hours within 6 hours above or below the mean (12 hours) are within 2 standard deviations of the mean. So, we can calculate the range: 12 - 6 = 6 hours and 12 + 6 = 18 hours. Any number of hours that falls within this range (6 to 18 hours) is within 2 standard deviations of the mean.

From the given options, these are the numbers of hours that fall within this range:

C. 10
D. 14
E. 16

*Answer can only contain numeric values
New Pattern Mock Test - 3 - Question 21

Directions: Your answer may be an integer, a decimal, or a fraction, and it may be negative. Enter the exact answer unless the question asks you to round your answer.

Q. In a single line of people waiting to purchase tickets for a movie, there are currently 10 people behind Shandra. If 3 of the people who are currently in line ahead of Shandra purchase tickets and leave the line, and no one else leaves the line, there will be 8 people ahead of Shandra in line. How many people are in the line currently?


Detailed Solution for New Pattern Mock Test - 3 - Question 21

You are given that if 3 people currently ahead of Shandra leave the line and no one

else leaves, there will be 8 people ahead of Shandra. This means that currently there are 11 people ahead of Shandra. In addition to the 11 people currently ahead of Shandra in line, Shandra herself is in line, and there are currently 10 people behind Shandra. Therefore the total number of people in line currently is 11 + 1 + 10, or 22. The correct answer is 22.

New Pattern Mock Test - 3 - Question 22

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

Q. n is a positive integer that is greater than 3 and has d positive divisors.

Quantity A - n

Quantity B - 2d-1

Detailed Solution for New Pattern Mock Test - 3 - Question 22
Since there is no obvious relationship between the quantities n and 2d − 1, it is a goodidea to try a few values of n to see what happens. Note that you are given that n is an integer greater than 3, so you can start comparing the quantities for the case n = 4 and proceed from there

Case 1: n = 4. The integer 4 has three positive divisors, 1, 2, and 4. So in this case, d = 3. Therefore 2d − 1 = 23 − 1 = 4, and the two quantities are equal.

Case 2: n = 5. The integer 5 has two positive divisors, 1 and 5. So in this case, d = 2. Therefore 2d − 1 = 22 − 1 = 2, and Quantity A is greater than Quantity B.

In one case the two quantities are equal, and in the other case Quantity A is greater

than Quantity B. Therefore the correct answer is Choice D.

New Pattern Mock Test - 3 - Question 23

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

Q. m = 1032 + 2, When m is divided by 11, the remainder is r.

Quantity A - r

Quantity B - 3

Detailed Solution for New Pattern Mock Test - 3 - Question 23
Actually dividing 1032 + 2 by 11 would be very time consuming, so it is worth trying to compare the quantities without actually doing the division.

A good approach would be to compute the remainder when 101 + 2, 102 + 2, 103 + 2, 104 + 2, etc., are divided by 11 to see if there is a pattern that can help you determine the remainder when 1032 + 2 is divided by 11. The following table shows

the first few cases.

Note that the remainder is 1 when 10 is raised to an odd power, and the remainder

is 3 when 10 is raised to an even power. This pattern suggests that since 32 is even, the

remainder when 1032 + 2 is divided by 11 is 3.

To see that this is true, note that the integers 99 and 9,999 in the rows for n = 2 and n = 4, respectively, are multiples of 11. That is because they each consist of an even number of consecutive digits of 9. Also, these multiples of 11 are each 3 less than 102 + 2 and 104 + 2, respectively, so that is why the remainders are 3 when 102 + 2 and 104 + 2 are divided by 11. Similarly, for n = 32, the integer with 32 consecutive digits of 9 is a multiple of 11 because 32 is even. Also, that multiple of 11 is 3 less than 1032 + 2, so the remainder is 3 when 1032 + 2 is divided by 11. Thus the correct answer is Choice C.

New Pattern Mock Test - 3 - Question 24

Directions: Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. Select one of the following four answer choices and fill in the corresponding oval to the right of the question. A symbol that appears more than once in a question has the same meaning throughout the question.

Q. xy = 8 and x = y − 2.

Quantity A - y

Quantity B - 0

Detailed Solution for New Pattern Mock Test - 3 - Question 24
In order to compare y and 0, you can try to determine the value of y from the two

equations xy = 8 and x = y − 2. Substituting y − 2 for x in the equation xy = 8 gives (y − 2)y = 8, or y2 − 2y − 8 = 0. Factoring this quadratic equation yields (y − 4)(y + 2) = 0. Therefore y can be either 4 or −2, so Quantity A can be greater than 0 or less than 0. Thus the correct answer is Choice D.

New Pattern Mock Test - 3 - Question 25

Directions: Select a single answer choice.

Q. The area of circle W is 16π and the area of circle Z is 4π. What is the ratio of the circumference of W to the circumference of Z?

Detailed Solution for New Pattern Mock Test - 3 - Question 25
Recall that if a circle has radius r, then the area of the circle is πr2 and the circumference is 2πr. Since the area of circle W is 16π, it follows that πr2 = 16π, so r2 = 16 and

r = 4. Therefore the circumference of circle W is 2π (4), or 8π. Similarly, since the area of circle Z is 4π, it follows that πr2 = 4π, so r2 = 4 and r = 2. Therefore the circumference of circle Z is 2π (2), or 4π. Thus the ratio of the circumference of W to the circumference of Z is 8π to 4π, or 2 to 1. The correct answer is Choice A.

*Answer can only contain numeric values
New Pattern Mock Test - 3 - Question 26

Directions: Your answer may be an integer, a decimal, or a fraction, and it may be negative. Enter the exact answer unless the question asks you to round your answer.

Q. When the decimal point of a certain positive decimal number is moved six places to the right, the resulting number is 9 times the reciprocal of the original number. What is the original number?


Detailed Solution for New Pattern Mock Test - 3 - Question 26

Moving the decimal point of a positive decimal number, n, six places to the right is

equivalent to multiplying n by 106. In the question, you are given that the result of such a change is 9 times the reciprocal of the original number, or 9(1/n). Therefore n(106) = 9(1/n). You can solve this equation for n as follows.

The correct answer is 0.003.

New Pattern Mock Test - 3 - Question 27

Selected Data For Greeting Card Sales

Q. In 1993 the number of Valentine’s Day cards sold was approximately how many times the number of Thanksgiving cards sold?

Detailed Solution for New Pattern Mock Test - 3 - Question 27
According to the table, the number of Valentine’s Day cards sold in 1993 was 900 million, and the number of Thanksgiving cards sold was 42 million. Therefore the number of Valentine’s Day cards sold was 900/42, or approximately 21.4 times the number of Thanksgiving cards sold. Of the answer choices, the closest is 20. The correct answer is Choice A.
New Pattern Mock Test - 3 - Question 28

Selected Data For Greeting Card Sales

Q. In 1993 a card company that sold 40 percent of the Mother’s Day cards that year priced its cards for that occasion between $1.00 and $8.00 each. If the revenue from sales of the company’s Mother’s Day cards in 1993 was r million dollars, which of the following indicates all possible values of r?

Detailed Solution for New Pattern Mock Test - 3 - Question 28
According to the table, 155 million Mother’s Day cards were sold in 1993. e card company that sold 40 percent of the Mother’s Day cards sold (0.4)(155) million, or 62 million cards. Since that company priced the cards between $1.00 and $8.00 each, the revenue, r million dollars, from selling the 62 million cards was between ($1.00)(62) million and ($8.00)(62) million, or between $62 million and $496 million; that is, 62 < r < 496. us the correct answer is Choice E.
New Pattern Mock Test - 3 - Question 29

Selected Data For Greeting Card Sales

Q. Approximately what was the percent increase in the annual revenue from all greeting card sales from 1990 to 1993 ?

Detailed Solution for New Pattern Mock Test - 3 - Question 29
According to the bar graph, the annual revenue from all greeting card sales in 1990 was approximately $4.5 billion, and the corresponding total in 1993 was approximately $5.75 billion. Therefore the percent increase from 1990 to 1993 was approximately (5.75 - 4.5 / 4.5)(100), or approximately 28%. e correct answer is Choice D.
New Pattern Mock Test - 3 - Question 30

Directions: Select a single answer choice.

Q. The table above shows the frequency distribution of the heights of 80 students, where the heights are recorded to the nearest centimeter. What is the least possible range of the recorded heights of the 80 students?

Detailed Solution for New Pattern Mock Test - 3 - Question 30
Recall that the range of the numbers in a group of data is the greatest number in the

group minus the least number in the group. e table shows that the minimum recorded height of the 80 students can vary from 140 to 144 centimeters, and the maximum recorded height can vary from 160 to 164 centimeters. us the least possible range of the recorded heights is 160 - 144, or 16 centimeters. e correct answer is Choice B.

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