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practice questions for the new gre

Questions and Answers of Practice Questions For The New GRE

If a is 60% of b, b is 40% of c, and c is 20% of d, then 6d is what percent of 20a?
0 < a < b < 1a. 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 0 Quantity
The Lirr River runs from Rosedale in the west to Oceanside in the east with the current moving at an average of 10 miles per hour. Sasha is traveling by motorboat from Ocean side to Rosedale and
In ΔABC above, x < y + z. What is one possible value of x?
In the figure above, which one of the following is true?a. x = 2yb. y = 2xc. x + y = 80d. x − y = 30e. x = y 5y x2x 2x°
Quantity A Quantity B-(x - 3)/4
In the figure above, the letters L, M, and N denote the areas of the semicircular regions whose diameters are the sides of the triangle, as shown. What is the value of (L + M) / NA square region has
Rachel, David, and Kristen decide to pool their money to buy a video game system. David contributes 4 dollars more than twice what Kristen does, and Kristen contributes 3 dollars less than Rachel
Shares of XYZ Co and ABC Corp are sold on a stock exchange that closes at 5 p.m. each day. At the close of business on Monday, shares of XYZ Co sold for half the price of shares of ABC Corp. On
If x ≠ 0 and y = ((x +1)/ x ) – 1, what is 1/y?a. xb. 1/yc. −x + 1d. x + 1/ x - 1e. −(x + 1)
A rectangle has length 2x and width x. If each diagonal of the rectangle has length d, what is the area of the rectangle, in terms of d?a. (2/5)db. (5/2)dc. (4/25)d2d. (2/5) d2e. (2/3) d2
If a(2/3) = b(2/3) for a ≠ 0 and b ≠ 0, then which of the following statements must be true? Indicate all possible values.a. a/b = 1b. a/b = -1c. (a - b)2 = 1d. a = 2/3e. a2 = b2f. √a =
130 < x < 150a. 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 The greatest odd
For which of the following values of x isbetween 0 and 4?a. 1b. 2c. 3d. 4e. 5f. 6 4 + X 2 4
If 1 ≤ n ≤ 100, and (n + 7)/2 is a multiple of 4 but not a multiple of 3, then which of the following could be true? Indicate all possible values.a. n is evenb. n is oddc. n is primed. n is a
The figure above shows four adjacent small squares, forming one large square. The vertices of square RSTU are midpoints of the sides of the small squares. What is the ratio of the area of RSTU to the
Quantity A
The figure above shows a circle inscribed in a square which is in turn inscribed within a larger circle. What is the ratio of the area of the larger circle to that of the smaller circle?a. √2b.
Let S be a point on a circle whose center is R. If PQ is a chord that passes perpendicularly through the midpoint of RS, then the length of arc PSQ is what fraction of the circle’s circumference?a.
If 7 orchids cost d dollars, then how many dollars will 10 orchids cost at the same rate?a. 70db. 70 / dc. 7 / 10dd. 10d / 7e. d / 70
Betty sold 3/5 of her family’s garage sale items. Ernest sold1/2 of the remaining items. What fraction of the family’s garage sale items did Ernest sell?
The New Gotham Department of Transit is taking an inventory of its vehicles. There are three times as many buses as train cars. 20 percent of the buses are powered by alternative fuels, of which 40
The New Age Entertainment Company produces x mood rings at a cost, in cents, of 80x + 9,000. These x mood rings can be sold for a price, in cents, of 260x. What is the least value of x for which the
A model rocket takes off from an elevated launch pad 9 feet above the ground. The rocket’s elevation follows the function h = −2t2 + 12t + 9, where h represents the height after t seconds. Which
If 3 less than twice a certain number is equal to 2 more than 3 times the number, then 5 less than 5 times the number isa. −30b. −20c. −5d. 0e. 20
If then x isa. −3b. 0c. √3d. 3e. Any non-negative real number √x + 3√x + √3
If a + b = 15 and 2a − b = 6, what is the value of b?a. 6b. 7c. 8d. 9e. 10
The figure above shows a rectangle inscribed within a square. How many times greater is the perimeter of the square than the perimeter of the inscribed rectangle?a. √2b. (2 + √2)/2c. 2d. 2√2e.
Assume that at a particular zoo, 2/5 of all the animals are mammals, and 2/3 of the mammals are allowed to interact directly with the public. If 24 mammals are allowed to interact directly with the
If= 1, then x =a. −2b. -1/2c. 1d. 1/2e. 2 (x + 2xx - 5) (x - 3xx + 4)
In Seattle, the total rainfall in a certain year was 37 inches. From April to October of that year, the average rainfall was approximately 1.7 inches per month. What was the average rainfall, in
If the perimeter of a rectangle is 24 and the length is twice the width, what is the length of the rectangle?a. 4b. 5c. 6d. 8e. 12
Melinda and Shirley worked together to make hamburger patties. Shirley worked for 1 hour and 45 minutes, Melinda worked for 45 minutes, and they split their earnings according to the amount of time
A square region has an area of b square inches and a perimeter of n inches. If n = b/3 what is the length, in inches, of the side of the square?a. 12b. 12√2c. 48d. 48√2e. 144
In the figure above, an equilateral triangle is inscribed in a circle. How many times greater is the area of the circle than the area of the triangle?a. π/√3b. 3π/4c. 4π/3√3d. 3e. 2π√3
In a certain game, players have three chances during each turn to earn points. Each consecutive win awards more points than the previous win. The second win awards 100 points more than the first, and
The 200 seventh graders at John Witherspoon Middle School raised 80% of the funds needed for a field trip. The school donated the remaining 20%. When they went to purchase the tickets, however, they
At a restaurant, all tips are added together to be split among the employees at the end of a shift. The 4 waiters combined get 2/3 of the money, the manager receives 1/4 and the busboy receives the
If n is positive, n/m = 4 and mn = 9, then m =a. 1/6b. 2/3c. 3/2d. 6e. 27/2
Nelson bowled 4 games and scored an average of 120 points. What score could he receive on his fifth game if he wants to have an overall average that is a multiple of 7, his favorite number?Indicate
The above expression will equal an integer if x equals all of the following EXCEPT Indicate all possible values.12x + 3 − (4 − 4x)a. -4/3b. 0c. 3/4d. 4/3
is the sequence of numbers g1, g2, g3…gn such that each term following the first is one more than two times the preceding term. If g2 + g4 = 30(1/2), what is the first term in the sequence?a. 3/4b.
During a sale, the original price of a garment is lowered by 20%. Because the garment did not sell, its sale price was reduced by 10%. The final price of the garment could have been obtained with a
A bookstore stocks 1/5 of its books as fiction works, and 1/3 less than the fiction books as self-help books. What fraction of the total books are the fiction and self-help books?a. 3/5b. 11/30c.
Wendy, Yvonne, and Elizabeth are baking cookies for a bake sale. Wendy can bake all of the cookies in 10 hours, Yvonne can bake half of the cookies in 3 hours, and Elizabeth can bake a third of the
At Betty’s Bagels, bagels normally cost x each, but with purchases of each dozen the customer receives a discount of 1.40 dollars. Billy buys 56 bagels and calculates that he spends an average of
At Alex’s Burger Palace, customers can purchase 2 veggie burgers and 2 shakes for $6.50. Customers can also purchase 2 veggie burgers and 2 beef burgers for $7.00. Which of the following could be
Many senior faculty members who were accustomed to being addressed in a more collegial and egalitarian manner were alienated by the _______ tone of the new department chair’s introductory
Quantity A Quantity B 358 - 2(x + y) 180 - (x + y) a. Quantity A is
The profit from selling y units of a product is given by the formula 4y − 2, where y > 0.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship
In the rectangle above, AB = x feet, BC = y feet, and AE = FC = 2 feet. What is the area of triangle DEF, in square feet?a. xy/2 + 2b. xy/2 − x − y − 2c. xy/2 − x − y + 2d. xy − 2x − 2y
The bride was mortified to learn that her dress which had appeared delicate, even _______, in the artificial light of the boutique—was nearly transparent in the bright sunlight of her outdoor
pq ≠ 0a. 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 (p + q)³ Quantity B p³ + q³
A good editor must be able to quickly ______ excellent submissions from a pile of dross, distinguishing the best offerings from the worst in an efficient manner.a. Consolidateb. Integratec. Finagled.
In an era in which mass media is but a thrall of its corporate masters, the amateurish _______ of commercials for local businesses provide a tonic for the slick homogeneity of most advertising.a.
J is the set of all fractions in the form of a/a2 where a ≠ 0.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship cannot be determined from the
The young minister was startled to learn that his parishioners considered him _______; he had been unaware that his message was being undermined by his sanctimonious and self-righteous tone.a.
Truly understanding literary theory requires a greater academic investment than simply memorizing descriptions of aestheticism, deconstructionism, and post modernism; one must also be willing to
x2 = |y|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 |x| Quantity B y
Despite having earned over two hundred million dollars during his career, the boxer’s _______ spending and bad investments left him insolvent within a few years of retirement.a. Parsimoniousb.
While some mummies, those of Egyptian pharaohs for example, were intentionally preserved with substances such as natron to dry out the bodies and prevent decomposition, others, such as the Tarim
Point A is located on a number line. If point A is between x and y, which are the values on the same number line, and if 0 < x < y, which of the following could represent the position of point
x3 = 27y2 = 16a. 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 Quantity B y
At a crafts supply store, the price of a type of decorative string is c cents per foot. At this rate, what would be the price, in dollars, of y yards of this string?a. cy/300b. 100/3cyc. 3y/100cd.
y2/x12 is an integer, y > x > 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. Quantity
If integer a is divisible by both 3 and 14, which of the following must be true? Indicate all such statements.a. A is divisible by 6b. A is equal to 42c. A is divisible by 21d. A is positive
Points A and B are separated by 50 miles on a straight road. Cyclist A leaves point A, heading toward point B, at a constant speed of 15 miles per hour. At the same time, cyclist B leaves point B,
x > y > 0a. 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 4x Quantity B 5y
If a and b are positive anda. √ab. √abc. √a/bd. √b/ae. a2 ab X X then To √a, th ||
In the figure above, what is a in terms of b and c?a. 180 − (b + c)b. 180 + (b + c)c. (b + c)d. (b + c) − 180e. (b + c) + 180 මේ 90 60
There are x red marbles, y blue marbles, and z yellow marbles in a sack. Three marbles are chosen at random, without replacements. If x, y, and z are all at least equal to 3, then which of the
In rectangle ABCD, the length is 60 percent of the width.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship cannot be determined from the
Jan and Marko are competing in an off-road race. Jan completes 3/4 of the race in 2 hours. Marko completes 2/3 of the race in 5/8 of the time it takes Jan to complete 9/10 of the race.a. Quantity A
x x and y are integers.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 W Quantity
4 + 5/5 = 4/5ya. 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 8 9y Quantity B 2
Quantity A Quantity Ba + b + c/5
At Pedantic Publishing Corporation, 1/5 of the employees take the bus to work and 1/3 drive to work. Of the employees who do not take the bus or drive to work, 1/4 take the subway and the rest
Let x, y, and z be non-zero numbers such that the average (arithmetic mean) of x and twice y is equal to the average (arithmetic mean) of y and twice z. What is the average (arithmetic mean) of x and
If x < y and 0 < x + y, which of the following must be negative?Indicate all possible values.a. −xb. −yc. x − yd. (x − y)2e. 2x − y
If p is a negative even integer and q is a positive odd integer, which of the following must be true?a. pq is a negative odd integer.b. p / q is a negative odd integer.c. p − q is a positive odd
If b = (c + d2)/ c and a = c/d2, what is b in terms of a ?a. 1 + (1/a)b. 1 + ac. 1 / (1 + a)d. a2 + 1e. a/ (a + 1)
If 7(q − r) = 10, what is q in terms of r?a. r + 10/7b. r - 10/7c. 7r - 10d. 10 − 7re. 7r + 10/7
If m is an odd integer, which of the following expresses the number of even integers between m and 2m inclusive?a. (m / 2) + 1b. (m / 2) - 1c. (m + 1) / 2d. (m - 1) / 2e. 2m + 1
1/r of a circular pizza has been eaten. If the rest of the pizza is divided into m equal slices, then each of these slices is what fraction of the whole pizza?a. r / rm b. (r -1) / rmc. 1/md. (m
Quantity A Quantity B (x + y)2 - 2xy
Quantity A Quantity B 3a5
If f is a fraction between −1 and 1, which of the following must be true?a. f7 < f5b. f6 − f7 < f4 − f5c. f6 + f7 < f5 + f4d. (−f)3 < f3e. f6 < f4
x and y are both integersa. 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. 10 yx 1.4 1 0
If 1/y < x < 0, then which one of the following must be true?a. 1 < x2b. x2 < xc. −1 < x3 < 0d. (1/x) > 1e. x3 < x
Which of the following values of x satisfy the above equation?a. −6b. −4.5c. −3d. 0e. 3f. 4.5g. 6 8x21 + 12x20 108x¹9+√36x4 - 2x = 3x
If A = q − r, B = r − s, and C = q − s, what is the value of A − (B − C)?a. −rb. 0c. 1d. q + re. 2(q − r)
0 −3 a and b are integers.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 a +
Two children named Peter and Wanda are playing a number game. If Peter’s number z is 200 percent of Wanda’s number, what is 20 percent of Wanda’s number, in terms of z?a. 10zb. 2zc. z/5d.
Brian spent 1/4 of his paycheck to repair his car, and then paid the registration and insurance, which each cost 1/3 of the remainder of his paycheck. If Brian had $0 before he was paid, and he now
What is the area of a circle whose circumference is x?a. x2 / 4πb. x2 / 2πc. x / 4πd. x2 / 2πe. 2√πx
Diecast truck manufacturers release limited edition models and others with obscure commercial advertising in order to _______ their trucks and ensure that certain items become dedicated collectibles
To highlight Albert Einstein’s image as a _______ scholar, there is an exaggerated tale floating around that his request to shut a window was the first sentence he had uttered in five years.a.
Sergei’s belief in astrology, a pseudoscience whose practitioners provide results than can never be conclusively proven or falsified, left him vulnerable to _______.a. Censureb. Chicaneryc.
Regardless of the long-winded answers Michael consistently gave in class, his teachers remember him as _______ student, rather than a garrulous one, because he generally kept to himself.a. A
Consider the _______ of the nature of war, the outcome of which can hardly be considered favorable even for those who emerge victorious.a. Enormityb. Expositionc. Bombastd. Austeritye. Depravityf.

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