GRE practice Test 1

The small Pennsylvania town of Centralia has dubious claim to fame-it has been on fire for more than 40 yrs. The ground beneath this abandoned mining community near harrisburg began burning in 1960s when an unknown source sparked the coal veins, causing them to spew noxious gases into local homes and businesses. Several attempts to quell the fires were futile. The scourge of fumes, ash, and scorched earth eventually drove the government to demolish more than 500 homes and relocate most of the town's inhabitants, which once numbered over 1,000. By 2006, Centralia's population had dwindled to fewer than 20 residents. ...cont

.... As late as 2010, the government sought to evict the remaining families, mainly senior citizens, ostensibly for the residents' own protection. Some locals, however, claim the underlying motive behind the government's actions is a potential $1 billion in anthracite, a particularly clean, high quality coal that remains buried in the mines beneath the town. The primary purpose of the passage is to: a) describe the effects that an enduring fire has had on the town of Centralia b) Argue that Centralia's remaining residents should leave the town for their own safety c) Document the government's inability to control the Centralia fire. d) Explain why American mining towns have nearly disappeared during the last half-century e) Criticize the government for its unfair treatment of Centralia's residents

Phenomenology, an early twentieth-century humanist philosophy inaugurated by Edmund Husserl, is the explicit and rigorous examination and description of consciousness. In the early 1980s scholars of theater and performance began to employ analysis informed by phenomenology in their writing. These scholars found that phenomenology allowed them to describe their encounters with the performance event in a way unencumbered by the language centered critical modes of psychoanalysis and deconstruction. Accordingly, phenomenological criticism asserted that a more immediate, visceral experience could be conveyed by suspending the "haze of secondary associations" that often mediates between the audience and the performance object. ...cont

...cont

What is the ratio of the number of workers in the Blue Collar category in 2005 to the number of such workers in 2011? a) 5/7 b) 5/6 c) 6/7 d) 6/5 e) 7/5

2005: the number of blue collar workers =28% of 150 = 42 million 2011: Number of blue collar workers =20% of 175 =35 million Therefore the required ratio is 42/35 = 6/5 d) 6/5

If 54.3% of the population is Mississippi was White in 2000, how many more White residents were there in 2010 than 2000? a) 136,320 b) 142,560 c) 175,620 d) 213,150 e) 237,510

Begin by finding the number of White residents in 2000. According to the line graph, there were about 2.84 million mississippians in 2000. If 54.3% of them were white, that is 2,840,000 x 0.543 = 1,542,120 white residents in 2000. In 2010, the population in mississippi was 2.97 million nad 59.1% =1,755,270 white residents in 2010. That is a difference of 1,755,270 - 1,542,120 = 213,150 Answer choice is D.

In a groundbreaking article, the historian Emily Coleman unearthed a remarkable pattern in the marriage practices of medieval French peasants in Paris. In the ninth century, peasant men in this area outnumbered peasant women by a factor of two. All peasants were poor; nevertheless, there were class distinctions within the peasantry. In light of the high ratio of men to women, Coleman was surprised to find that many peasant women married beneath their social status. cont...

By examining the stratification of the medieval French peasantry, Coleman identified a clue to this historical mystery. Social status was conferred on children by their mother, not their father. A women did not lower her children's social status by marrying beneath her. However, a man from the lower orders could raise the status of his progeny by marrying a women from a higher social status. Moreover, the large number of men worked against the prospects of women from higher status. It meant that most women had many brothers who would lay claim to family assets. Without a dowry, higher-status peasant men. As a result, a significant percentage of women had no choice but to marry "beneath them"

XY=YZ=XZ Quant A: a Quant B: b a) Quantity A is greater b) Quantity B is greater c) the two relationships are equal d) The relationships cannot be determined form the information given

Do not let the information that XY = YZ = XZ distract you from the question, especially since the diagram is clearly not an equilateral triangle. The fact that the triangle is equilateral is unnecessary to solving the problem. Remember: geometric figures on the GRE® are not necessarily drawn to scale. To solve this question, use the exterior angle theorem which says that an exterior angle of a triangle is equal to the sum of the two remote (nonadjacent) interior angles. Here, a = c + d . Since d is positive here, a > c . Quantity A is greater and choice (A) is correct. If you don't know or remember the exterior angle theorem, look at the drawing in solution here. a + b = 180 because there are 180 degrees in a straight line. b + c + d = 180 because the sum of the interior angles of a triangle is 180 degrees. Since a + b = 180 and b + c + d = 180, a + b = b + c + d . Subtracting b from both sides, a = c + d . Since d > 0, a > c . Again, Quantity A is greater and choice (A) is correct.

What is the percentage change (to the nearest percent) in the population of Mississippi from 1990 to 2000?

First, we need to determine the change in the population of mississippi from 1990-2000. According to the line graph, there were 2.57 million residents of Mississippi in 1990 and 2.84 mil in 2000. The difference in population, in millions is 2,840,000 - 2,570,000 = 270,000. Now, the percent change in the population of Mississippi from 1990 to 2000 is the ratio of this difference to the entire population of Mississippi in 1990: Thus, rounded to the nearest percent, 11% is the correct answer

The small Pennsylvania town of Centralia has dubious claim to fame-it has been on fire for more than 40 yrs. cont... Which of the following is implied by the passage? a) The government did not show interest in Centralia until officials learned of the value of the anthracite beneath the town. b) the coal fires in Centralia were never fully stifled c) the residents of Centralia have a stake in the mining industry.

For this Inference question, we have to use the facts from the passage to try to validate each statement. A) incorrect, we are never told when the gov. learned of the anthracites value. B) True: the coal fires have burned for 40 years, and several attempts to extinguish them have failed. These facts imply the fires continue to burn and have not been stifled. C) may seem tempting at first because of the skepticism about the gov's intentions. However, while the Centralia residents' skepticism implied that the gov has a stake in mining, we don't have enough evidence to infer that the residents themselves have a stake. Choice B is only correct

At Deb's Deli, a customer may choose either a sandwich and a salad or a sandwich and a soup for the lunch special. There are 5 choices of sandwich, 4 choices of salad, and 3 choices of soup. How many possible lunch special combinations can be ordered?

In a lunch special, a customer first chooses a sandwich and then chooses either a salad or a soup. The second choice is independent of the first, so we can apply the multiplication principle, which states that the number of total possible choices of two items is the product of the number of possibilities for the first and the number of possibilities for the second. There are 5 sandwich options, 4 salad options, and 3 soup options, so a customer can choose 5 × 4 = 20 different sandwich/salad specials and 5 × 3 = 15 different sandwich/soup specials, for a total of 20 + 15 = 35 lunch specials. The correct answer is 35.

question of last paragraph

In the second paragraph of the passage, the word "transparent" is use to mean a) easily understood b) obfuscating c) translucent d) Sheer e) diaphanous

The religion of the ancient Romans changed radically over the centuries. At first, the romans believed in the lares, which were household gods. Each family kept a shrine for the lares in the home, where family members gave a food offering from each meal. The early Romans also believed in numina, the spirits of the natural world. A special numen was the genius, a spirit which dwelled in the male head of each family. The genius watched over the family and ensured its success. Sacrifices were also made to numina, which were invited into peoples homes. cont....

Later, Romans adopted the /Greek gods, giving new names to the members of the greek pantheon and adapting the gods to their own needs. A class of priests developed to direct the worship of these gods, and holidays were created to honor them. After the overthrow of the Roman Republic, the emperor, as the head of the "family" of Rome, began to be worshipped with sacrifices. When early Christians refused to make these sacrifices, some emperors persecuted them. During this time, many Romans began to join foreign cults, such as the Persian cult of Mithras and the Egyptian cult of Isis. Still other Romans became Christians. Eventually, following Roman Emperor Constantine's conversion to Christianity in the fourth century AD, Christianity became the state religion of Rome.

Recent editions of the Chinese classic Tao Te Ching, based on manuscripts more authoritative than those hitherto available, have rendered previous editions _____. incomprehensible uninteresting inaccessible obsolete illegible

Obsolete

0 < x < 1 0 < y < 1 Quantity A 3^x Quantity B y^3 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.

Quantity A is greater In this Quantitative Comparison, we should compare instead of calculating. Given that x is between 0 and 1, we see that Quantity A is between 30 = 1 and 31 = 3. As y is also between 0 and 1, Quantity B is between 03 = 0 and 13 = 1. Both exclude 1, so the two ranges do not overlap, and Quantity A is always greater than Quantity B. The correct answer is choice (A).

Passage: Select the sentence in the passage inw hich the author describes the foundation of the post-tokugawa system of governance

Sentence 4 mentions the guiding principles underlying many of the changes in Japanese government, and is therefore the correct answer. Sentences 5 and 6 describe the system of government under the Tokugawa Shogunate, not under post-tokugawa rule. Sentence 7 describes one of the aspects of the new system, but not its reasoning. Sentences 1-3 gives reasons for changing the government system, but do not describe the foundation of the new government Answer: Guided by ideals of equality among all Japanese, one of the first reforms was the abolition of the class system that was the hallmark of shogunate rule.

A customer placed 15 percent of the total amount due on a purchase on a credit card, which was to be paid later. The customer paid the remaining amount due immediately by paying $135.14 in cash and using a $25.00 gift certificate. What was the total amount due? a) $170.49 b) $181.50 c) $183.70 d) $185.14 e) $188.40

Since 15% was paid with a credit card, 100% − 15% = 85% was paid immediately. The amount paid immediately was $135.14 + $25.00 = $160.14. Thus, $160.14 is 85% of the total amount due. Let's say that the total amount due was T dollars. Then 85% of T is 160.14. Then 0.85T = $160.14, and T=160.14/0.85=188.4. The total amount due was $188.40. Choice (E) is correct.

ST= 1/2 RT Quantity A The area of the circle with center R Quantity B Four times the area of the circle with center T 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.

Since ST=12RT, the radius of the circle with center R is twice the radius of the circle with center T. The area of a circle with a radius r is πr2. Let's say that the radius of the circle with center T is x. Then the area of the circle with center T is πx2, and 4 times the area of the circle with center T is 4πx2. Since the radius of the circle with center R is twice the radius of the circle with center T, the radius of the circle with center R is 2x. So the area of the circle with center R is π(2x)2 = π(22)(x2) = 4πx2. The quantities are equal and choice (C) is correct.

15 ≤ x ≤ y ≤ z ≤ 230 and the average (arithmetic mean) of x, y, and z is 174. Quantity A The smallest possible value of x Quantity B 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.

The average formula is Average =Sum of the terms/Number of terms. Since the average of x, y, and z is given as 174, we have that x+y+z/3=174. Multiplying both sides of this equation by 3, x + y + z = 522. We can use the greatest possible values for y and z to try to determine what the smallest possible of x is. Because we know that 15 ≤ x ≤ y ≤ z ≤ 230, the most any of the three values could be is 230. If we let y = 230 and z = 230, then substituting 230 for y and 230 for z into the equation x + y + z = 522, we have that x + 230 + 230 = 522, x + 460 = 522, and then x = 62. Because 62 falls in the possible range of x and because we used the greatest possible values of y and z, which are both 230, we know that the smallest possible value of x is 62. Quantity A is 62 and Quantity B is 60. Quantity A is greater than Quantity B, and choice (A) is correct.

The daily cost of running a certain air conditioner is 12 cents per hour for the first 8 hours, and 10 cents per hour for each additional hour over 8 hours. Which of the following expressions represents the cost, in dollars, of running this air conditioner for h hours each day, for 90 days, if 8 < h < 24 ? a) 90(.12) + 9(h - 8) b) 90(.12)h + h - 8 c) 90(.12)h + 9(h - 8) d) 90(.12)(8) + 9(h - 8) e) 90(.12)(8) + (h - 8)

The cost in cents per hour for the first 8 hours every day will be 12 × 8. So the cost for the first 8 hours each day for 90 days will be 90 × 12 × 8 cents. The number of hours over 8 hours that the air conditioner is run each day is h - 8. These are charged at a cost of 10 cents per hour, so the cost of running the air conditioner for the hours after the first 8 hours for 90 days is 90 × 10 × (h - 8) cents = 900(h - 8). So the total cost, in cents, of running the air conditioner each day is 90(12)8 + 900(h - 8). The cost in dollars will be one hundredth of this, that is 90(.12)8 + 9(h - 8) dollars. Choice (D) is correct. 90(.12)(8) +9(h-8)

Compare Quantity A and Quantity B, using additional information centered above the two quantities if such information is given. There are 5 blue disks, 3 green disks, 4 orange disks, and nothing else in a container. One disk is to be selected at random from the container. Quantity A The probability that the disk selected is blue or green Quantity B 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.

The probability formula is Probability=Number of desired outcomes/Number of possible outcomes. The number of desired outcomes is the number of disks that are blue or green. There are 5 blue disks and 3 green disks in the container. Therefore the number of desired outcomes is 5 + 3 = 8. The number of possible outcomes is the number of disks in the container. There are 5 blue disks, 3 green disks, and 4 orange disks in the container. Therefore the number of possible outcomes is 5 + 3 + 4 = 12. The number of desired outcomes is 8. The number of possible outcomes is 12. The probability that the disk selected is blue or green is 8/12=8÷4/12÷4=2/3. Quantity A is 2/3 and the quantity in Quantity B is 3/4. Now 2/3=2×4/3×4=8/12 3/4=3×3/4×3=9/12. Quantity A is 81/2 and Quantity B is 9/12. Quantity B is greater and choice (B) is correct.

If 3f - 2g = 2 and g - 2f = −5, which numbers are greater than f - g ? Indicate all such numbers. a) -9 b) -7 c) -3 d) 0 e) 1 f) 3 g) 7

The question asks for f - g, but not for f or g individually, so let's rearrange the equations and either add or subtract to solve for f - g. First, we rewrite the second equation so the variables are in the same order as in the first equation: −2f + g = −5. Now, we stack the equations and add: 3f -2g = 2 + (-2 f + g = -5) = f-g = -3 Because f - g = −3, any number greater than −3 will be greater than f - g. The correct answers are choices (D), (E),(F), and (G).

a) a^2 b) a^4 c) a^5 d) a^9 e) a^11

This question is about understanding the laws of exponents and understanding roots. We start by simplifying the expression under the radical sign. To raise a power to an exponent, multiply the exponents. Algebraically, (bc)d = bcd. So, (a2)6 = a2 × 6, or a12. Next, we find the cube root of a12. Remember, taking the cube root is the same as raising the value under the radical sign to the exponent 13, so a12‾‾‾√3=(a12)13. Again, multiply the exponents: 12×13=4, so (a12)13=a4 and choice (B) is correct.

The diameter of a circle is between 4 centimeters and 9 centimeters. Which of the following could be the circle's circumference, in centimeters? Indicate all possible answers. a) 12 b) 16 c) 21 d) 26 e) 36

We begin by finding the range of possible circumferences allowed by the restrictions in the question. The circumference of a circle is 2πr, where r is the radius, and the circumference of a circle is πd, where d is the diameter. Because π is a constant, with a value of a little more than 3, we will be able to approximate the range of the possible values for the circumference. The diameter of the circle is between 4 centimeters and 9 centimeters. This means that the diameter of the circle is greater than 4 centimeters and less than 9 centimeters. Using the circumference formula, in terms of the diameter, the circumference of the circle is greater than π(4) = 4π, and less than π(9) = 9π. Thus, if C is the circumference of this circle, then 4π < C < 9π. Since π is a little greater than 3, the circumference of the circle is a little greater than 4(3) = 12, and the circumference is a little less than a number that is approximately 9(3) = 27. Choice (A) is incorrect because it is too small, and choice (E) is incorrect because it is too large. The correct answers are (B), (C), and (D). Let's note that if we use the approximation for π that is 3.14, then 4π is approximately 4(3.14) = 12.56, and 9π is approximately 9(3.14) = 28.26. Thus, 12.56 is another approximation for 4π, and 28.26 is another approximation for 9π.

The average (arithmetic mean) of 2 numbers, m and n, is 35. If p = 25 and r is 60 percent of the sum of m, n, and p, what is the average of m, n, p, and r ? __________

We can use the Average formula to determine the sum of m and n. The average formula is Average = sum of the terms / number of terms If 35 = m+n / 2, then m+n =70 Now find the value of r: r=0.60 (m+n+p)=0.60 0.60(70+25) =0.60 x 95 =57 Use the average formula again: The average formula is Average = sum of the terms / number of terms = m+n+p+r / 4 = 70+25+57 / 4 =152 /4 =38 The average of the 4 numbers is 38

Critics of this approach have pointed out that Husserl and other phenomenologists naively thought that language was a transparent system that reflected reality, though this belief has been strongly discredited by linguists and deconstructionist philosophers. This means, they argue, that even if phenomenology gives access to an encounter with the "essence" of a given art object, this encounter could never be conveyed to others in speech or writing without distortion or filtration of meaning. In response to this criticism, theater and performance scholars have adapted their methodology citing later phenomenologist like Maurice Merleau-Ponty, whose work focuses on the importance of the body in forming consciousness, and disavowing the reductive formulations of Husserl.

Which of the following is implied by the author a)Phenomenology is a critical approach created by Edmund Husserl in the 1980s b) Linguistically minded critical approaches are thought by some scholars to preclude the description of a visceral encounter with a performance event. c) Phenomenological critics have responded to the critiques of linguists and deconstructionist philosophers by disavowing phenomenology as a practice d) Linguists and deconstructionist philosophers by disavowing phenomenology as a practice e) linguists and deconstructionists philosophers have shown how language transparently reflects the real world, f) Phenomenology is necessarily naive concerning the way that language mediates communication.

Many of the world's languages are facing extinction. By 2050, the six thousand existing languages may be diminished in number by nearly half. About fifty percent of the world's languages are no longer taught to children. Unless measures are taken to revitalize them, these languages will die along with the current adult generation. The spread of the Internet and mass media reinforces the use of a few "common" languages and discourages the use of less widespread languages. While many of us may never have heard pof, much less used, some of these languages is still of cultural loss for humanity since each language embodies a distinct view of the world, with its own untranslatable insights and knowledge.

Which of the following, if ture, most helps to explain why languages are dying? a) Some european countries are concerned that their languages may someday be replaced by english b) some languages, such as etruscan, fade away naturally; while others, such as latin, gradually transform into new languages c) with determined effort, it is possible to resuscitate almost-dead languages, as has been done with Hebrew, Cornish, and Navajo d) In order to participate in the global economy, speakers of less widespread languages must learn and use a widely understood language, such as English, Russian, or Swahili e) Since commonly studied dead languages, such as Ancient Greek, embody a wealth of literature and tradition that cannot fully be appreciated in translation, it is reasonable to assume that every language is a cultural treasure chest.

m is an odd integer Quantity A: |m| (absolute value | | of m) Quantity B: |m-1| (absolute value of m-1) 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.

You may have been tempted to declare Quantity A to be larger right away but the simplistic nature of a problem like this one should give you pause on Test Day. Let's play it safe by Picking Numbers. If m = 1, then Quantity A is |1| = 1 and Quantity B is |1 - 1| = |0| = 0. In this case, Quantity A is greater. However, if m = -1, then Quantity A is |-1| = 1 and Quantity B is |-1 - 1| = |-2| = 2. In this case, Quantity B is greater. Since more than one relationship between the quantities is possible, choice (D) is correct.

Which of the following expressions are equal to 21 ? Indicate all correct answer choices. a) 3 + 7 × 2 + 12 ÷ (2 + 1) b) 1 + (3 ÷ 2) × 10 + 1 c) 7 - 3 × 3 + (5 + 4) d) 4 × (3 + 2) - (3 - 4) e) (2 + 6) × 1 + 3 - 6 × 4 + 1

a) 3 + 7 × 2 + 12 ÷ (2 + 1) d) 4 × (3 + 2) - (3 - 4)

If p + 2q = 8 and 2p - q = 11, then p = a) 6 b) 7 c) 8 d) 9 e) 10

a) 6 Adding q to both sides of the second equation, 2p - q = 11, gives you 2p = 11 + q, and subtracting 11 from both sides gives 2p - 11 = q. Now plug 2p - 11 for q into the first equation, p + 2q = 8, and solve for p by getting it by itself on one side of the equals sign: p + 2(2p - 11) = 8, p + 4p - 22 = 8, 5p - 22 = 8, 5p = 30, and p = 6. Choice (A) is correct.

Various goods brought into America have been taxed over the years, but the art tariff of 1883 forced policy-makers to examine the status of art in society and the idea of art as a commodity. The tariff, which was vehemently opposed by both European and American artists, increased levies on all artworks imported to America, which, for all practical purposes, limped them into the category of luxury items. Opposition to the tariff rested largely on the idea that a work of art could not be classified as a luxury item and thus should not be subject to tax. Instead, opponents considered art an instrument of culture and an essential element of public education which of the following, if true, most seriously undermines the justification for the art tariff.

a) Art imports were taxed to help pay for the Civil War b) Most art collectors donated their works to museums c) Most artworks imported to America were purchased by private collectors d) the status of art as a material object distinguishes it from music e) works by contemporary artists were excluded from the tax.

The area of rectangle ABCD is 32 Quant A: the area of the circle with center P Quant B: 11 a) Quantity A is greater b) Quantity B is greater c) the two relationships are equal d) The relationships cannot be determined form the information given

a) Quantity A is greater Since the area of a rectangle is equal to length × width, you may be tempted to set up the equation y (y + 4) = 32. However, this might get messy, since you would have to solve a quadratic equation. Instead, use circle properties for a more strategic approach. Notice that each circle touches the top and bottom of the rectangle exactly once. This means that the diameter of each circle is equal to y , the height of the rectangle. Furthermore, since the length of the rectangle is equal to the length of two diameters, you can set up the equation 2y = y + 4 . Solve this equation by subtracting y from each side to get y = 4.So each circle has a diameter of 4, and a radius of 42=2. The area of a circle with a radius r is πr2 . The area of each circle in this question is π(22 ) = π(4) = 4π. Since π is a little greater than 3, 4π is greater than 4(3) = 12. Since Quantity A is greater than 12 and Quantity B is 11, Quantity A is greater than Quantity B. Choice (A) is correct.

In order to justify their removal of historic artifacts from shipwrecks, unscrupulous divers often adopt a seemingly _______ attitude, aligning themselves with the preservationists and professing their devotion to education and research. a) altruistic b) omnipotent c) insular d) arrogant e) selfless f) perfunctory

a) altruistic e) selfless Read the sentence, looking for clues The phrase "in order to" suggests that the sentence presents a problem and a solution. The problem is that people think the "unscrupulous" divers are wrong to remove the artifacts. The solution that will justify removal of the artifacts is for the divers to appear to care about preservation and research rather than themselves. Predict an answer Since the divers want to avoid appearing selfish and unjustified, the correct answer will mean something similar to "unselfish," or acting for an legitimate and just purpose. Select the two choices that most closely match your prediction (A)altruistic and (E)selfless are both synonyms of "unselfish" and fit the prediction well. These are the correct answers. Adopting an omnipotent (B), meaning all-powerful, attitude would not help the divers appear unselfish. Nor would adopting an insular (C), or narrow-minded, attitude. Attempting to appear arrogant, or overconfident, is unlikely to help the divers justify their actions. Thus, (D) arrogant can be eliminated. (F) perfunctory, which means "indifferent" or "routine," can be eliminated because appearing indifferent would also not help the divers justify removing artifacts from shipwrecks. Check your answers to see if the sentence retains the same meaning In order to justify their removal of historic artifacts from shipwrecks, unscrupulous divers often adopt a seemingly altruistic/selfless attitude, aligning themselves with the preservationists and professing their devotion to education and research. TAKEAWAY: The correct answer choices not only have to yield complete sentences that are similar in meaning, but also have to fit the meaning of the sentence as a whole.

To help promote feline health and welfare, an ongoing research project involves identifying genes that control autosomal dominant traits and causative mutations in cats. This study involves understanding the morphological traits that help define different breeds. If researchers can identify A) the genes that control autosomal dominant traits, or traits that are inherited from only one parents, and B) the genes that are responsible for congenital abnormalities, also called causative mutations, they can then determine why only some breeds have health problems connected to the traits. The lack of tails in MAnx cats is an autosomal dominant trait, for example, and significant problems can arise when a cat has two copies of this mutation. For this reason, the majority of manx cats are bred with cats that have tails. In the passage given, the two highlighted portions play which of the following roles?

a) concept and clarification b) hypothesis and defense c) dilemma and choice d) theory and exceptions e) conclusion and evidence

he principal ultimately decided that the oft-admonished student was (i)_________; therefore, she punished his most recent infraction by (ii)____________ him. This removal clearly left (iii)____________ impression on all the rest of the students at the high school, as no one attempted any similar acts of misbehavior again. Blank(i) a) incorrigible b) malevolent c) nonchalant Blank (ii) a) expelling b) implicating c) reviling Blank (iii) a) a florid b)an indelible c) an inexcusable

a) incorrigible a) expelling b)an indelible

The solid above is a cube with LWH is 6x6x6 Quantity A: The length of diagonal AB Quantity B: 10 a) quant A is greater b) quant B is greater c) the two quantities are equal d) the relationship cannot be determined from the information given

a) quantity A is greater The length of the diagonal of one of the faces of the cube is x. Since the faces are all squares, the line segment of length x forms the hypotenuse of an isosceles right triangle with legs of length 6. Since an isosceles right triangle has sides in the ratio of 1 to 1 to √2, this means that the length of the diagonal in the square base of the cube is 6√2. Now we can apply the Pythagorean theorem to find the length of AB: (AB)^2 = 6^2 + (6√2)^2 (AB)^2 = 36 + (36 x 2) (AB)^2 = 36 + 72 (AB)^2 = 108 AB= √108 Since 10=√100, the length of AB is greater than 10. Choice (A) is correct.

Since her parents were distracted by their guests after dinner, the child ______ escaped to the kitchen and proceeded to devour all of the remaining cookies. a) stealthily b) resiliently c) scornfully d) cheerfully e) furtively f) benevolently

a) stealthily e) furtively

Lines u and v form 4 angles that each measure 90 degrees. The points (−4, 7) and (8, 23) are on line u. The points (−68, −16) and (−40, t) are on line v. What is the value of t ? a) -49 b) -37 c) -25 d) 5 e) 26

b) -37 When x1 ≠ x2, the slope m of a line going through the points (x1, y1) and (x2, y2) is given by m=y2−y1x2−x1. Then the slope of line u, which goes through the points (−4, 7) and (8, 23), is: 23−78−(−4)=1612=16÷412÷4=43 So the slope of line u is 43. When two lines in a plane form an angle whose measure is 90 degrees, the lines are perpendicular. The slopes of two lines that are perpendicular to each other, where each of the two lines is not parallel to a coordinate axis, are negative reciprocals. If m is a non-zero slope, the negative reciprocal of m is −1m. Since the slope of line u is 43, the slope of line v is the negative reciprocal of this, which is −1(43). Thus, the slope of line v is −34. Now the points (−68, −16) and (−40, t) are on line v. So, the slope of line v is t−(−16)−40−(−68)=t+16−40+68=t+1628. Since the slope of line v is −34, set up the equation t+1628=−34. Solve this equation for t: t+1628=−34Replace −34 with −34 :t+1628=−34Cross multiply:(4)(t+16)=(28)(−3)Simplify each side:4(t+16)=−84Divide both sides by 4:t+16=−21Subtract 16 from both sides:t=−37 Thus, t = −37. (B) is correct.

After returning home from a day filled with misfortune, Kate found the severity in her father's __________ tone extremely difficult to endure. a) Melodious b) Acerbic c) Unctuous d) Caustic e) garrulous f) sonorous

b) Acerbic d) Caustic

In an almost unprecedented move, the leaders of the Satsuma and Choshu rebellions, after reinstating the Emperor to supreme power, renounced their samurai status, opening up the entirety of the Japanese population to military services. What can be inferred from the passage? a) The emperor of Japan has no power under Tokugawa governance. b) It became possible for Japanese businesspeople to rise in social class after the rebellion in the mid-19 century. c) under tokugawa governance, only samurai were allowed to serve in the military

b) It became possible for Japanese businesspeople to rise in social class after the rebellion in the mid-19 century. c) under tokugawa governance, only samurai were allowed to serve in the military

The religion of the ancient Romans changed radically over the centuries.... Which of the following statements is supported by the passage? a) The Romans and the Greeks worshipped in the same way b) Not all of the Roman emperors persecuted Christians c) Early Roman worship took place in the home.

b) Not all of the Roman emperors persecuted Christians c) Early Roman worship took place in the home.

List L : 3, 4, 18, 21, 34 Quantity A The average (arithmetic mean) of the numbers in list L Quantity B The median of the numbers in list L a) Quantity A is greater b) Quantity B is greater c) the two relationships are equal d) The relationships cannot be determined form the information given

b) Quantity B is greater

From 2005-2011, there was a decrease in the number of workers in which of the following categories? Select all that apply a) sales b) blue collar c) services

b) blue collar We need to compare the number of workers in the relevant categories for both years. For sales: in 2005, number of workers =8% of 150 million =12 million. in 2011, the number of workers = 7% of 175 mil =12.25 mil. hence there was an increase and so sales is wrong. For blue collar: in 2005, number of workers =28% of 150 mil = 42 mil. in 2011, the number of workers =20% of 175 mil =35 mil. Hence there is a decrease so this is correct. Service: in 2005, number of workers =14% of 150 mil =21 mil. in 2011, the number of workers = 17% of 175 mil =29.75 mil. Therefore there is an increase so this is incorrect.

During his 1577-1580 circumnavigation of the world, Englishman Sir Francis Drake staked his country's claim to the west coast of the Americas, (i)_________ the hopes of England's rival, Spain, for (ii)_______ of the vast Pacific Ocean. Blank(i) a) exploiting b) confounding c) perplexing Blank(ii) e) domination f) exploration g) civilization

b) confounding e) domination

Although newer media storage formats such as CDs and MP3s are more convenient than (i)________ formats such as magnetic tape and LPs, they can be more (ii)________ than the older, more durable, mediums. While many first-run recordings made in the 1920s are still playable, studies have shown that some CDs have radically (iii)________ in less than two years. Blank (i) a) neoteric b) obsolescent c) concomitant Blank (ii) a) frangible b) idiosyncratic c) truculent Blank (iii) a) degenerated b) maturated c) coalesced

b) obsolescent a) frangible a) degenerated

How many different committees of 7 people can be formed from a group of 10 people? a) 84 b) 105 c) 120 d) 165 e) 720

c) 120 In mathematics, nCk is sometimes used to denote the number of different subgroups consisting of k different objects that can be selected from a group of n different objects, where n is a positive integer, k is a nonnegative integer, and 0 ≤ k ≤ n. Then the combinations formula is Ck n=n!k!(n−k)! In order to find the number of different committees of 7 people can be formed from a group of 10 people, we let n = 10 and k = 7 in the formula above. We have C7 10===10!7!(10−7)!=10!7!3!=10(9)(8)(7!)7!3!10(9)(8)3!=10(9)(8)3(2)(1)=10(3)(4)30(4)=120. Thus, 10C7 = 120. That is, the number of different committees of 7 people that can be formed from a group of 10 people is 120. Choice (C) is correct.

The religion of the ancient Romans changed radically over the centuries.... It can be inferred from the passage that: a) The lares demanded blood sacrifices b) In order to become the head of a family, a man had to be exceptionally intelligent. c) The emperor was thought to embody the genius of the Roman people d) The greeks also worshipped their rulers e) Followers of Isis refused to worship the old gods of the pantheon

c) The emperor was thought to embody the genius of the Roman people

In a groundbreaking article, the historian Emily Coleman unearthed a remarkable pattern in the marriage practices of medieval French peasants in Paris. cont... The author of the passage states which of the following? a) Among the peasants in Coleman's research, twice as many males as females married within their social status b) The peasants in Coleman's research inherited their social status from their fathers. c) There were twice as many males as there were females among the peasants in Coleman's research, males who lacked financial assets married below their social status d) Among the peasants in Coleman's research, males who lacked financial assets married below their social status. e) The songs of the peasants in Coleman's research were more likely to marry above their family's social status than were daughters

c) There were twice as many males as there were females among the peasants in Coleman's research, males who lacked financial assets married below their social status

A number of double-blind lab studies have confirmed that soothing activities such as knitting and cooking can counteract the deleterious effects of ________ on the human body. a) dispassion b) sedation c) apprehension d) trepidation e) intoxication f) imperturbation

c) apprehension d) trepidation

As she stepped down from the podium, the candidate was lauded by an enthusiastic audience of supporters who were gratified not only by the fervency of her delivery but also by the _______ words of her speechwriter. a) stentorian b) expository c) felicitous d) garrulous e) poignant f) vociferous

c) felicitous e) poignant

The unequal treaties between Japan and several western powers in the middle of the 19th century proved to be the final straw that broke the back of the Tokugawa Japanese government. Two provinces in particular, Satsuma and Choshu, launched rebellions protesting the Shogunate's acceptance of the unfavorable terms. Already weakened by an increasingly indebted samurai bureaucracy and faltering prolicial power, the Shogunate was unable to quell the revolution and was forced to capitulate. Guided by ideals of equality among all Japanese, one of the first reforms was the abolition of the class system was the hallmark of Shogunate rule. under the Shogunate system, most of Japan's population was sorted into one of four rigidly defined hereditary classes, with the samurai or warriors, as the highest, ruling class. Below the samurai ranked the farmers, followed by artisans, followed by the merchants, the lowest caste. ...cont

cont

Set X = {6, −8, 9, 11, −14, 15} Set Y = {2, 7, −12, 16, −19, −20} Set Z = {−4, 5, −10, −13, 17, −22} If one number is chosen from each set to form a group, how many groups of numbers can be made such that their product is negative? a) 48 b) 72 c) 84 d) 108 e) 168

d) 108 The product of three numbers is negative if either one of the numbers is negative or all three of them are. Let us begin by figuring out the number of groups if only one number is negative. Set X has 2 negative numbers. For each of those negative numbers, there are 3 positive numbers in set Y and 2 positive numbers in set Z, for a total of 2 × 3 × 2 = 12 possible groups if the one negative number comes from set X. Set Y has 3 negative numbers. For each of those negative numbers, there are 4 positive numbers in Set X and 2 positive numbers in Set Z, for a total of 3 × 4 × 2 = 24 possible groups if the one negative number comes from Set Y. Set Z has 4 negative numbers. For each of those negative numbers, there are 4 positive numbers in Set X and 3 positive numbers in Set Y, for a total of 4 × 4 × 3 = 48 possible groups if the one negative number comes from Set Z. Therefore, there are 12 + 24 + 48 = 84 possible groups of numbers where only one is negative. Now let us figure out how many possible groups of numbers exist where all three are negative. Sets X, Y, and Z have 2, 3, and 4 negative numbers, respectively. This is a total of 2 × 3 × 4 = 24 possible groups where all three numbers are negative. So, there are a total of 84 + 24 = 108 different groups of numbers that result in a negative product. The correct answer is choice (D).

x < 0 < y + z z≠ 0 Quantity A y+zx Quantity B yz a) Quantity A is greater b) Quantity B is greater c) the two relationships are equal d) The relationships cannot be determined form the information given

d) The relationships cannot be determined form the information given Let's first consider Quantity A. The numerator is specified to be positive , and the denominator is specified to be negative. The quotient of a positive number divided by a negative number is always negative, but the magnitude of Quantity A cannot be determined. You may have been tempted to immediately declare Quantity B to be larger, because the y + z is positive, but be careful. While y + z > 0, there's nothing stopping either y or z alone from being negative. This makes it impossible for us to know whether Quantity B is positive, negative, or even 0. Therefore, the relationship cannot be determined from the information given. Choice (D) is correct.

When a single experiment yielded findings dramatically different from those of previous similar experiments, and further research did not duplicate the new findings, the scientists decided the results must be _____. a) a revelation b) a contradiction c) an iteration d) an aberration e) a confirmation

d) an aberration

Despite the valiant efforts of the third-grade students to convince their teacher to let them play longer, her answer was ________: Recess would end at 1:15 p.m. a) unsure b) diffident c) ambiguous d) unequivocal e) absolute f) playful

d) unequivocal e) absolute

Which of the following integers is such that the sum of its distinct positive factors, not including itself, is greater than itself? a) 6 b) 8 c) 9 d) 10 e) 12

e) 12 Go through the answer choices one at a time, looking for the number that fits the requirement in the question stem. 6 has factors of 1, 2, 3, and 6. 1 + 2 + 3 = 6, which is not greater than 6, so discard choice (A). 8 has factors of 1, 2, 4, and 8. 1 + 2 + 4 = 7, which is less than 8, so discard choice (B). 9 has factors of 1, 3, and 9. 1 + 3 < 9, so discard choice (C). 10 has factors of 1, 2, 5, and 10. 1 + 2 + 5 = 8, which is less than 10, so discard choice (D). We have now eliminated all 4 incorrect answer choices, so we know that choice (E) must be correct. To be sure, let's check choice (E). 12 has factors of 1, 2, 3, 4, 6, and 12. 1 + 2 + 3 + 4 + 6 = 16, so choice (E) is correct.

When the most recent earnings report was delivered at the meeting last week, employees hoped to find indications that their company, having been unprofitable the previous fiscal year, was in a state of (i)__________; however, they were disappointed by the (ii)_______ first quarter earnings. Blank (i) resurgence decline bankruptcy Blank (ii) tepid emaciated prodigious

i) Resurgence ii) Tepid

The college student's (i)________ remarks to her professor, made in a brazen and misguided attempt to garner (ii)_________ from her peers, met with unintended consequences when she was banished from the classroom for her (iii)________. Blank (i) flippant respectful flamboyant Blank (ii) aplomb esteem derision Blank (iii) hilarity insolence taciturnity

i) flippant ii) Esteem iii) Insolence