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GRE Mock Test (New Pattern) - 9 - GRE MCQ


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30 Questions MCQ Test GRE Mock Test Series 2025 - GRE Mock Test (New Pattern) - 9

GRE Mock Test (New Pattern) - 9 for GRE 2025 is part of GRE Mock Test Series 2025 preparation. The GRE Mock Test (New Pattern) - 9 questions and answers have been prepared according to the GRE exam syllabus.The GRE Mock Test (New Pattern) - 9 MCQs are made for GRE 2025 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for GRE Mock Test (New Pattern) - 9 below.
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GRE Mock Test (New Pattern) - 9 - Question 1

Directions: Choose the word or set of words that best completes the following sentence.

Raised in a wealthy and permissive home, Arthur developed the fatal tendency of indulging even the basest of his impulses; no one ever accused him of being __________.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 1
We know that we are looking for a word that is the opposite of how Arthur has been described, since "no one has ever" characterized him this way. So we are looking for a word that is the opposite of indulgent, and since an "abstemious" person is a person who practices self-denial, abstemious is correct.
GRE Mock Test (New Pattern) - 9 - Question 2

Directions: Fill in the blanks with the best answer.

Rather than increasing the opportunities to drill for natural gas, the bill intends to __________ oil production near national and state parks.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 2
"Inhibit" means to keep from exceeding a desirable degree or level. The beginning of the sentence has the word rather—this is a clue that what occurs on the other half of the sentence will be the opposite of what is stated before; in this case, the bill limits production rather than increasing it.
GRE Mock Test (New Pattern) - 9 - Question 3

Directions: Answer the questions based on following reading passage.

It would be expected that a novel by a figure as prominent as W. E. B. DuBois would attract the attention of literary critics. Additionally, when the novel subtly engages the issue of race, as DuBois’ The Quest of the Silver Fleece (1911) does, it would be a surprise not to encounter an abundance of scholarly work about that text. But though valuable scholarship has examined DuBois’ political and historical thought, his novels have received scant attention. Perhaps DuBois the novelist must wait his turn behind DuBois the philosopher, historian, and editor. But what if the truth lies elsewhere: what if his novels do not speak to current concerns?

Q. In the fourth sentence (“Perhaps DuBois . . . editor.”), the author of the passage is most likely suggesting that

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 3
The fourth sentence speculates that once DuBois scholars have exhausted potential avenues of research in the fields of philosophy, history, and editing, they will turn to his novels, so Choice D is the correct answer. None of the other choices fits the metaphor in “Perhaps DuBois the novelist must wait his turn.”
GRE Mock Test (New Pattern) - 9 - Question 4

Directions: Answer the questions based on following reading passage.

It would be expected that a novel by a figure as prominent as W. E. B. DuBois would attract the attention of literary critics. Additionally, when the novel subtly engages the issue of race, as DuBois’ The Quest of the Silver Fleece (1911) does, it would be a surprise not to encounter an abundance of scholarly work about that text. But though valuable scholarship has examined DuBois’ political and historical thought, his novels have received scant attention. Perhaps DuBois the novelist must wait his turn behind DuBois the philosopher, historian, and editor. But what if the truth lies elsewhere: what if his novels do not speak to current concerns?

Q. Which of the following best describes the central issue with which the passage is concerned?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 4
The passage focuses on the scant attention given to DuBois’ novels, The Quest of the Silver Fleece in particular. The first two sentences give reasons to expect greater attention, while the last two offer speculations about the explanation for the scant attention. Thus, Choice E is correct. The issues described in the other answer choices are all marginal to the passage, if they are mentioned at all.
*Multiple options can be correct
GRE Mock Test (New Pattern) - 9 - Question 5

The island had a history of ____ rule, and had rebelled against various governments numerous times over the years.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 5

If the people of the island have rebelled numerous times, it is reasonable to assume that they rebelled against an oppressive or dictatorial government. Therefore, the correct answers are A) despotic and C) tyrannical. Democratic, which means a government of the people, might fit the context of the sentence, but there is no other choice with the same meaning. Proprietary, which means of or relating to an owner, does not make sense. Myriad, which means countless or extremely great number, does not make sense. Laudatory, which means expressing praise and commendation, does not make sense.

*Multiple options can be correct
GRE Mock Test (New Pattern) - 9 - Question 6

Hester’s charity was _____ for its work with children in developing nations, and was awarded a grant for further projects.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 6

The sentence states that Hester's charity was awarded a grant for further projects. It can reasonably be inferred that the charity does worthwhile work; therefore, the correct answers are D) commended and E) recognized. Reprimanded and admonished, each of which means to have rebuked someone (especially officially) do not make sense. Calibrated, which means to have correlated the readings of an instrument, does not make sense. Misappropriated, which means to have dishonestly taken something for one's own use, does not make sense.

*Multiple options can be correct
GRE Mock Test (New Pattern) - 9 - Question 7

As he approached middle age, he realized how _____ were the dreams of his youth.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 7

A person approaching middle age is likely to look back at youth and feel that the dreams they once had quickly disappeared. Therefore, the correct answers are A) ephemeral and D) fleeting. Misguided, which means mistaken, might fit the context of the sentence, but there is no other choice with the same meaning. Nonsensical, which means making no sense, might fit the context of the sentence, but there is no other choice with the same meaning. Audacious, which means bold, might fit the context of the sentence, but there is no other choice with the same meaning. Emboldened, which means to give someone courage, is grammatically incorrect.

GRE Mock Test (New Pattern) - 9 - Question 8

Directions: Choose the word or set of words that best completes the following sentence.

Although the stadium had been filled with a(n) __________ of voices and sounds, it was now stilled to a(n) __________. The people stood with mouths silent and __________ as the lightning struck multiple times on the field.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 8
This whole sentence indicates that the stadium was filled with sound but then became "silent." It is key to note this word, for the stadium did not merely become quiet. Thus, options like "whisper," "murmur," and "mumble" are not acceptable for our purposes. If the people's mouths were silent, they were either closed or open without making a sound. To be "agape" is to be hanging open, often in amazement. This works well. To be "stilled to a hush" means to be brought to absolute silence. Finally, a "cacophony" is a loud and unpleasant mixture of sounds—a situation which seems to be well described regarding the initial state of the stadium.
GRE Mock Test (New Pattern) - 9 - Question 9

Directions: Choose the word or set of words that best completes the following sentence.

The aged scholar was well known for his __________, having written __________ articles on many issues of cellular mutation from the most __________ of topics to large-scale, systemic investigations.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 9
The last blank of the sentence may be the simplest to fill in first. The scholar is known for writing on issues that are either large-scale or what seems to be contrasted to this, namely "small-scale." The word "minute" is not the same as the time measurement (i.e. minutes vs. hours). "Minute," in this context, means small. Thus, he wrote on minute, detailed topics as well as large-scale investigations. For such work, he was likely known for his vast learning and erudition. This does not mean he was known for his education or even his brilliance. "Erudition" describes having attained an impressive degree of learning and scholarship. Finally, we can guess that he has written many articles. (This is hinted at by the fact that he wrote "on many issues.") It is quite reasonable to describe these articles as being "innumerable."
GRE Mock Test (New Pattern) - 9 - Question 10

Directions: Choose the word or set of words that best completes the following sentence.

Although many of its particular scientific facts are dated, the Physics of Aristotle retains a(n) ____________ worth for philosophical reflection. Its treatment of motion and change can help to ____________ any discussion as regards the general topics to be treated regarding the ____________ that we encounter in our everyday lives.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 10
Well, this is a somewhat strange sentence! Still, it is very approachable, so long as you pay attention to each clue. Note for the first blank that the sentence basically says that the Physics has a continuing worth, even though some of its facts are out of date. Thus, the worth endures or can be said to have an enduring worth. Now, for the second option, we are looking for something that expresses the idea of "giving a general direction." Whenever we get our "orientation", we get this general idea of the lay of the land. The word "orient" is derived from the Latin for east. Hence, getting your orientation could be understood as "finding East." This helps you to know your overall situation (indeed, all of the directions—North, South, East, and West). Finally, the last sentence really should only refer to something in the sentence. It doesn't presuppose any philosophical knowledge on your part. Thus, if motion and change are the topics treated in the Physics, then it is safe to say that "mutability" is the best option for the third blank. This word is clearly related to words like "mutation" and "mutable," both of which deal with changes and alterations.
GRE Mock Test (New Pattern) - 9 - Question 11

Directions: Answer the questions based on following reading passage.

In a recent study, David Cressy examines two central questions concerning English immigration to New England in the 1630s: what kinds of people immigrated and why? Using contemporary literary evidence, shipping lists, and customs records, Cressy finds that most adult immigrants were skilled in farming or crafts, were literate, and were organized in families. Each of these characteristics sharply distinguishes the 21,000 people who left for New England in the 1630s from most of the approximately 377,000 English people who had immigrated to America by 1700.

With respect to their reasons for immigrating, Cressy does not deny the frequently noted fact that some of the immigrants of the 1630s, most notably the organizers and clergy, advanced religious explanations for departure, but he finds that such explanations usually assumed primacy only in retrospect. When he moves beyond the principal actors, he finds that religious explanations were less frequently offered, and he concludes that most people immigrated because they were recruited by promises of material improvement.

Q. The passage indicates that Cressy would agree with which of the following statements about the organizers among the English immigrants to New England in the 1630s?

[For the following question, consider each of the choices separately and select all that apply.]

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 11
Choice A is correct.

Choice A is correct: the organizers are mentioned in the second paragraph, where the passage says that Cressy “does not deny” that organizers “advanced religious explanations” for leaving England and immigrating to New England in the 1630s. This suggests that Cressy would agree with the statement in choice A about the organizers.

Choice B is incorrect: in lines 10–11, the passage says that Cressy finds that religious reasons for immigration “assumed primacy” only in retrospect, but this is not the same as Cressy’s concluding that no reasons were given at the time of immigration. Therefore it cannot be inferred that Cressy would agree with the statement in Choice B.

Choice C is incorrect: the passage refers in lines 13–14 to “promises of material improvement” as a factor that in Cressy’s view motivated most immigrants other than “the principal actors.” This suggests that Cressy regards the principal actors, such as organizers, as having been less, not more, motivated by material considerations than average immigrants were. Therefore it cannot be inferred that Cressy would agree with the statement in Choice C.

*Multiple options can be correct
GRE Mock Test (New Pattern) - 9 - Question 12

I was used to David’s scheming, but even I was _____ of the outrageous boldness of his latest plan.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 12

The author states he/she was used to David's scheming, and the phrase "but even I was---" indicates that the author managed to be shocked by his latest plan. Therefore, the correct answers are B) incredulous and D) disbelieving. Nonplussed, which means unimpressed, does not fit the context of the sentence. Victimized, which means to be singled out for cruel or unjust treatment, might fit the context of the sentence, but there is no other choice with the same meaning. Forthright, which means candid, does not make sense. Finessed, which means to have brought about by skilful maneuvering, might fit the context of the sentence, but there is no other choice with the same meaning.

*Multiple options can be correct
GRE Mock Test (New Pattern) - 9 - Question 13

After a lifetime of taking advantage of people, especially those close to him, we were shocked to find that for the first time in his life, David actually appeared to be _____.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 13

The sentence indicates that David has spent his life taking advantage of people, and suggests that he showed little concern for his actions. For once, however, David did something that shocked people, which would indicate he showed remorse. Therefore, the correct answers are C) contrite and E) repentant. Remorseless and callous, both of which mean unrepentant, do not fit the context of the sentence. Indifferent and apathetic, both of which mean uncaring or unmoved, do not fit the context of the sentence.

GRE Mock Test (New Pattern) - 9 - Question 14

Meteorite explosions in the Earth's atmosphere as large as the one that destroyed forests in Siberia, with approximately the force of a twelve-megaton nuclear blast, occur about once a century. The response of highly automated systems controlled by complex computer programs to unexpected circumstances is unpredictable.

Q. Which of the following conclusions can most properly be drawn, if the statements above are true, about a highly automated nuclear-missile defense system controlled by a complex computer program?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 14
If the defense system designers did not plan for the contingency of large meteorite explosions, such explosions would, from the system's perspective, be unexpected. The system's response 7 to such explosions is consequently unpredictable. E expresses this inference and is thus the best answer. A cannot be inferred since it is consistent with the stated information that no meteorite explosion will occur within a century. B cannot be inferred since there is no information to suggest that meteorite explosions in the atmosphere would destroy the system. C cannot be inferred since it is consistent with the stated information that an appropriately designed nuclear defense system might be able to distinguish nuclear from meteorite explosions. D cannot be inferred since there is no information to suggest that the location of blasts would determine the appropriateness of defense system's response.
GRE Mock Test (New Pattern) - 9 - Question 15

Directions: Select one of the following answer choices.

Q. O is the center of the circle below.

Quantity A: x

Quantity B: 5

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 15
In this question you are asked to compare x with 5, where x is the length of a line segment from the center of the circle to a point inside the circle. In a circle the easiest line segments to deal with are the radius and the diameter. Looking at the figure in the question, you can see that you can draw two radii, each of which “completes” a right triangle, as shown in the figure below.

Since in one of the triangles the lengths of both legs are known, you can use that triangle to determine the length of the radius of the circle. The triangle has legs of length 3 and 4. If the length of the radius is r, then, using the Pythagorean theorem, you can see that

r2 = 32 + 42 or

r2 = 9 + 16 or

r2 = 25, and thus, r = 5

Since the length of the radius of the circle is 5 and the line segment of length x is clearly shorter than the radius, you know that x < 5,="" and="" the="" correct="" answer="" is="" choice="" />

You could also see that the two triangles are congruent, and so x = 4, again yielding Choice B.

GRE Mock Test (New Pattern) - 9 - Question 16

Directions: Select one of the following answer choices.

Q.

Quantity A: x/y

Quantity B: 1

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 16
One way you can solve this problem is by using the following fact:
  • If ABC is a triangle and the measure of angle A is greater than the measure of angle B, then the side opposite angle A is longer than the side opposite angle B.

Since the third angle of the triangle measures 40°, you can use the fact above to conclude that the side opposite the 50° angle is longer than the side opposite the 40° angle. So x > y, and x/y > 1, which yields Choice A.

GRE Mock Test (New Pattern) - 9 - Question 17

The ratio of 1/3 to 3/8 is equal to the ratio of

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 17
Multiplying both parts of a ratio by the same positive number produces an equivalent ratio. While you could multiply both fractions in the ratio by any number, 24 is a good number to choose because it is the least common multiple of 3 and 8. Thus, multiplying both ⅓ and 3/8 by 24, you get that the ratio of 1/8 to 3/8 is equal to the ratio of 8 to 9. The correct answer is Choice D.
GRE Mock Test (New Pattern) - 9 - Question 18

Directions: Answer the questions on following data.

Q. Which of the following is closest to the average (arithmetic mean) of the 9 changes in the value of imports between consecutive years from 2000 to 2009?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 18
The average of the 9 changes in the value of imports between consecutive years can be represented as follows, where the function v(year) represents the value of imports for the indicated year.

Note that in the numerator of the fraction, each term, with the exception of v(2000) and v(2009), appears first as positive and then again as negative. The positive and negative pairs sum to 0, and the fraction simplifies to

Reading the values from the graph, you can approximate the value of the simplified fraction as 9.0 - 3.2 / 9 = 5.8/9 ≈ 0.644 billion dollars. The answer choice that is closest to $0.644 billion is $640 million. The correct answer is Choice E.

GRE Mock Test (New Pattern) - 9 - Question 19

Directions: Answer the questions on following data.

Q. In 2008 the value of exports was approximately what percent greater than the value of imports?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 19
The difference between the value of exports and the value of imports expressed as a percent of the value of imports is

((value of exports) − (value of imports) / value of imports)(100%)

In 2008 the value of imports was approximately $5 billion and the value of exports was approximately $12 billion, so the value of the fraction is approximately 12 - 5 /5, or 7/5.

Since the fraction is greater than 1, expressing it as a percent will give a percent greater than 100. The fraction is equal to 1.4, or 140 percent. The correct answer is Choice E.

*Answer can only contain numeric values
GRE Mock Test (New Pattern) - 9 - Question 20

In a graduating class of 236 students, 142 took algebra and 121 took chemistry. What is the greatest possible number of students that could have taken both algebra and chemistry?


Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 20

This is the type of problem for which drawing a Venn diagram is usually helpful. The Venn diagram below is one you could draw to represent the information given in the question.

Note that the algebra and chemistry numbers given do not separate out the number of students who took both algebra and chemistry, and that this question asks for the greatest possible number of such students. It is a good idea, therefore, to redraw the Venn diagram with the number of students who took both algebra and chemistry separated out. The revised Venn diagram looks like the one below.

To solve this problem you want the greatest possible value of x. It is clear from the diagram that x cannot be greater than 142 nor greater than 121, otherwise 142 − x or 121 − x would be negative. Hence, x must be less than or equal to 121. Since there is no information to exclude x = 121, the correct answer is 121.

GRE Mock Test (New Pattern) - 9 - Question 21

Directions: Select one of the following answer choices.

Q.

Quantity A: The dollar value of 1 Argentine peso according to the table above

Quantity B: The dollar value of 1 Kenyan shilling according to the table above

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 21
When you are answering Quantitative Comparison questions, it is a good timesaving idea to see whether you can determine the relative sizes of the two quantities being compared without doing any calculations.

In the table accompanying this question, both the value of the Argentine peso and the value of the Kenyan shilling are compared to the United States dollar.

Without doing any calculations, you can see from the information given that 1 United States dollar is worth a little less than 1 Argentine peso, so 1 peso is worth more than 1 United States dollar. On the other hand, 1 United States dollar is worth 32.08 Kenyan shillings, so 1 Kenyan shilling is worth only a small fraction of 1 United States dollar. The correct answer is Choice A.

GRE Mock Test (New Pattern) - 9 - Question 22

Directions: Select one of the following answer choices.

Q. k is a digit in the decimal 1.3k5, and 1.3k5 is less than 1.33.

Quantity A: k

Quantity B: 1

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 22
In this question, you are given that k is a digit in the decimal 1.3k5 and that 1.3k5 is less than 1.33. So you can see that 1.30 < 1.3k5 < 1.33. Therefore, 1.3k5 must equal 1.305 or 1.315 or 1.325, and the digit k must be 0, 1, or 2. The correct answer is Choice D.
GRE Mock Test (New Pattern) - 9 - Question 23

Directions: Select one of the following answer choices.

Q. In a set of 24 positive integers, 12 of the integers are less than 50. The rest are greater than 50.

Quantity A: The median of the 24 integers

Quantity B: 50

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 23
In general, the median of a set of n positive integers, where n is even, is obtained by ordering the integers from least to greatest and then calculating the average (arithmetic mean) of the two middle integers. For this set of 24 integers, you do not know the values of the two middle integers; you know only that half of the integers are less than 50 and the other half are greater than 50. If the two middle integers in the list are 49 and 51, the median is 50; and if the two middle integers are 49 and 53, the median is 51. Thus the relationship cannot be determined from the information given, and the correct answer is Choice D.
*Answer can only contain numeric values
GRE Mock Test (New Pattern) - 9 - Question 24

Directions: Answer the question based on the following data.

Q. For how many of the 11 categories of beverages and drugs listed in the graph

can the amount of caffeine in the given serving size be less than 50 milligrams?

[Numeric Ability Question]


Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 24

In the graph, the left edge of each bar tells you what is the least possible amount of caffeine in the corresponding beverage or drug. A beverage or drug can have less than 50 milligrams of caffeine if the left edge of its bar lies to the left of the vertical line corresponding to 50 milligrams of caffeine. From the graph, you see that there are 9 bars for which this is true. There are only 2 bars that lie entirely to the right of the 50-milligram line — the bar for drip-brewed coffee and the bar for weight-loss drugs, diuretics, and stimulants. So there are 9 categories of beverages and drugs that can have less than 50 milligrams of caffeine in the given serving size. The correct answer is 9.

GRE Mock Test (New Pattern) - 9 - Question 25

Directions: Answer the question based on the following data.

Q. Approximately what is the minimum amount of caffeine, in milligrams, consumed per day by a person who daily drinks two 10-ounce mugs of percolated coffee and one 12-ounce cup of a caffeinated soft drink?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 25
According to the bar graph, the minimum amount of caffeine in a 5-ounce cup of percolated coffee is approximately 40 milligrams. Therefore, the minimum amount of caffeine in two 10-ounce cups of percolated coffee, which is the same as the minimum amount of caffeine in four 5-ounce cups, is approximately (40)(4), or 160 milligrams. The minimum amount of caffeine in a 12-ounce caffeinated soft drink is approximately 30 milligrams. So, the minimum amount of caffeine in two 10-ounce mugs of percolated coffee and one 12-ounce caffeinated soft drink is approximately 160 + 30, or 190 milligrams. The correct answer is Choice B.
GRE Mock Test (New Pattern) - 9 - Question 26

If n = 23 , then nn = ?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 26
When answering a question in which you are asked to calculate the value of an expression, it is often helpful to look at the answer choices first to see what form they are in. In this question the answer choices are all in the form 2 raised to a power, so you should try to achieve that form. It is given that n = 23 = 8. Therefore, nn = (23)8 = 224. The correct answer is Choice D.
*Answer can only contain numeric values
GRE Mock Test (New Pattern) - 9 - Question 27

Directions: Following question is a numeric ability questions.

a1, a2, a3, . . . , an, . . .

Q. In the sequence above, each term after the first term is equal to the preceding term plus the constant c. If a1 + a3 + a5 = 27, what is the value of a2 + a4?


Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 27

Note that answering this question requires information only about the first five terms of the sequence. So it is a good idea to work with the relationships among these five terms to see what is happening.

Since you are given that in this sequence each term after a1 is c greater than the previous term, you can rewrite the first five terms of the sequence in terms of a1 and c as follows.

a2 = a1 + c

a3 = a2 + c = a1 + 2c

a4 = a1 + 3c

a5 = a1 + 4c

From the question, you know that a1 + a3 + a5 = 27, and from the equations above, a1 + a3 + a5 = a1 + (a1 + 2c) + (a1 + 4c) = 3a1 + 6c. So you can conclude that 3a1 + 6c = 27, or a1 + 2c = 9

To find a2 + a4, you can express a2 and a4 in terms of a1 and c and simplify as follows.

a2 + a4 = (a1 + c) + (a1 + 3c)

= 2a1 + 4c

= 2(a1 + 2c)

But, a1 + 2c = 9, so a2 + a4 = 2(9) = 18. The correct answer is 18.

GRE Mock Test (New Pattern) - 9 - Question 28

If is expressed as a terminating decimal, how many nonzero digits will the decimal have?

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 28
To convert the fraction to a decimal, it is helpful to first write the fraction in powers of 10. Using the rules of exponents, you can write the following.

So the decimal has two nonzero digits, 6 and 4. The correct answer is Choice B.

GRE Mock Test (New Pattern) - 9 - Question 29

Directions: For the following question, select all the answer choices that apply.

Q. The total amount that Mary paid for a book was equal to the price of the book plus a sales tax that was 4 percent of the price of the book. Mary paid for the book with a $10 bill and received the correct change, which was less than $3.00. Which of the following statements must be true? Indicate all such statements.

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 29

Letting bbb = the price of the book and 1.04b = the total cost of the book plus sales tax, we can create the inequality:

10 - 1.04b < 3

7 < 1.04b

6.73 < b

This is the minimum price of the book.

The maximum price of the book is such that its price plus the cost of sales tax is less than $10.00:

1.04b < 10.00

b < 9.62

Thus, we see that the price of the book was greater than $6.73 and less than $9.62. Since I and II are not true, III must be true.
Hence option C is correct

GRE Mock Test (New Pattern) - 9 - Question 30

If 2x = 3y = 4z = 20, then 12xyz =

Detailed Solution for GRE Mock Test (New Pattern) - 9 - Question 30
One approach you can use to solve this problem is to find the values of all three variables.

2x = 20, or x = 10

3y = 20, or y = 20/3

4z = 20, or z = 5

So, 12xyz = 12(10)(20/3)(5) = 4,000 and the correct answer is Choice C.

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