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practice questions for the new gre
Questions and Answers of
Practice Questions For The New GRE
If p and x are non-negative numbers and y is a non-positive number, then which of the following must be true?Indicate all possible values.a. px > xyb. px > 0c. pxy > –1d. pxy ≤ 0e. px
In the equation above, x is an integer with 3 distinct prime factors, and y is a positive integer with no prime factors. If z is a positive, non-prime number, what is one possible value of z? Y || 420
If w is a non-positive integer, which of the following must be positive?Indicate all possible values.a. −3wb. 2w + 10c. w4d. w0e. −w + 0.5
Set X consists of the positive multiples of 5, and set Y consists of the odd prime numbers less than 20. If set Z consists of every distinct integer less than 100 that is the product of one element
f, g, and h are consecutive prime numbers such that f < g < h.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship cannot be determined from the
If |x2y| = |(–w)z|, then which of the following could be true?Indicate all possible values.a. x2 = wzb. |x2y| = |(–w)z|c. −(wz) = wzd. |–x2| = |(–w)z|e. −w = zf. x2 = –|y|
Set X consists of all the even integers from 1 to 100, inclusive, and set Y consists of all the integers divisible by 5 from 1 to 100, exclusive. How many members of set X are not members of set Y?
If p and q are both positive odd integers, which of the following must be odd?Indicate all possible values.a. pqb. 2pqc. 3pqd. pq + pqe. pq + qp
Which of the following could be the difference between two positive integers whose product is 28?a. 1b. 3c. 4d. 7e. 14
What are the greatest and smallest positive differences between any of the factors of 210?a. 103 and 1b. 209 and 0c. 210 and 1d. 103 and 11e. 209 and 1
How many positive integers less than 20 are factors of 96?a. 5b. 6c. 7d. 8e. 9
A number divisible by a positive even prime number must bea. Primeb. Oddc. Evend. The square of a primee. The square of an odd number
At the local grocery store, apples normally cost 40 cents each. During a recent sale, the price was reduced to 3 apples for a dollar. How much money would be saved by purchasing 30 apples at the sale
If negative integer a is multiplied by b and the result is greater than 0 but less than |a|, then which of the following must be true of b?a. b > 1b. 0 < b < 1c. −1 < b < 0d. b <
Which of the following integers has both 12 and 17 as factors?a. 34b. 84c. 120d. 204e. 217
If bc ≠ 0, and 3b + 2c = 18, then which of the following is NOT a possible value of c?a. 5(3/5)b. 6c. 8(2/5)d. 9e. 12
If j is a multiple of 12, and k is a multiple of 21, then jk must be a multiple of which of the following?a. 8b. 15c. 22d. 28e. 35
If x, y, and z are consecutive even integers, such that x < y < z and xyz = 960, what is the value of z?
Quantity A
Which of the labeled coordinates on the number line above could represent the value of k?a. Ab. Bc. Cd. De. E A -2 00 B C 0 D k |||| E LU 2
What is w if -(w + 1): = 9 729
Which of the following inequalities is true?a.b.c.d.e. 1 11 < 0.08 < 6
Questions 3 and 4 refer to the following data.CHARITABLE ANNUAL DONATIONS TO CHARITY GROUP XFor any Company X listed in the chart above, let ΔX be defined as the difference between the mean annual
The price of Mabel’s car, not including interest, is 12 percent more than the price of Rose’s car. Combined, Mabel and Rose’s cars cost $53,000. If Mabel’s car loan interest rate was 5.20
The sumis equivalent to which of the following sums?a.b.c.d.e. 3 10 + 43 100 + 17 1000
a is 40% of 4518 is b% of 90a. 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
The annual interest rate on a certain savings account increases from 1.25% to 1.5%. What percent increase in the annual interest rate does this change represent?a. 0.2%b. 0.25%c. 0.167%d. 20%e. 25%
Halfway through the season, Antonio’s scoring average per game was 20% higher than David’s. The two scored the same number of points in the second half of the season.a. Quantity A is greater.b.
n > 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. 6n 15 0.3n, Quantity A The positive
Ifthen what is the value of x? 6 || -8 ن به
If .002x + .004y = 4, what is the value of y in terms of x?a.b.c. 4 − .5xd. 1000 − .5xe. 2(1000 − x) 4 - 2x 04
Rohan began a savings account with a balance of $200. His current balance is $150.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship cannot be
What is the tenths digit of the quotient when thirty-five hundredths is divided by four thousandths?
The selling price of a house was decreased by 12 percent to $220,000. What was the original selling price of the house?a. $193,600b. $196,429c. $221,200d. $246,400e. $250,000
Quantity A Quantity B7/8 - 0.25
If each of three grocery stores receives 1/4 of a farmer’s potato crop, a farmer’s market receives 1/3 of the remaining, and a local fast food restaurant receives the remaining 200 pounds, how
Between the first day of May and last day in June, the price per kilogram of Melange, a seasoning mix, first declined by 20 percent and then increased by 50 percent. During this same period, the
The Warm Muffin Bakery’s cookie sales are always 60 percent of its muffin sales. What would be the increase in The Warm Muffin Bakery’s cookie sales if its muffin sales increased from 10,000 to
Carmen wants to open a special savings account through her work. If Carmen invests $7,000 at 6 percent simple annual interest in January, and no other money is added to or removed from the account,
A group of freshmen, juniors, and seniors are going on a school trip. The number of seniors is 60% of the number of juniors, which is 50% of the number of freshmen. If there are at least 150 students
Ben’s music album sold 5/6 the number of copies as Regina’s album. If Regina’s album sold at least 1,500 copies more than Ben’s album, how many copies of Ben’s album were sold?Indicate all
If 20 percent of x is 5y, and y = 7, what is 60 percent of x?a. 105b. 115c. 125d. 145e. 175
An investment club has had an average rate of return of 15% per year for the past 6 years. If Teresa invests $1000 today and neither adds nor subtracts money from the club, how much will Teresa have
Joey works at a clothing store and receives an employee discount of 10 percent off the regular price of any item. What is the regular price of an item that Joey purchases for $99?a. $89.10b.
Maria removed 5/6 of the cookies from a jar, and then Andrea removed 3/8 of the remaining cookies from the same jar. Which of the following could NOT be the number of cookies originally in the
Evangeline must spend 3/8 of her weekly salary on rent and 1/6 of her remaining salary on food. Which of the following could be percentages of her weekly salary that Evangeline devotes to
Company A’s output of 245 widgets per week is 35 percent of Company B’s weekly widget output.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship
If mn ≠ 0, 2+m / mn = a.b.c.d.e. 2 m + 2 mn
Which of the following is equal to 1/5 of the reciprocal of 0.004 percent?a. 0.5b. 50c. 500d. 5,000e. 50,000
Quantity A
A certain recipe calls for 2 cups of sugar and 3(1/2) cups of flour. What is the ratio of sugar to flour in this recipe?a. 3/10b. 2/5c. 4/7d. 4/5e. 6/7
If a high school’s varsity tennis team is made up of 24 juniors and seniors, which of the following could be the ratio of juniors to seniors on the team?Indicate all such ratios.a. 1:2b. 1:3c.
Ann wants to make cookies, but she only has 2 eggs and the recipe calls for 3. If the recipe calls for 3 cups of flour, 1 cup of sugar, and 1/2 cup of butter, how many cups of butter will she need to
What is the approximate ratio of Company F’s average annual donation to charity group X for the period 1980– 1990 to that for the period 1980–2000?CHARITABLE ANNUAL DONATIONS TO CHARITY GROUP
If a certain vitamin pill has 400 milligrams of magnesium, then how many grams of magnesium are in a bottle of 500 vitamin pills? (1 gram = 1,000 milligrams)a. 20b. 200c. 2,000d. 20,000e. 200,000
A jar contains only marbles of three different colors: red, green, and yellow. The red and green marbles are in a ratio of 2:5, and the yellow and red marbles are in a ratio of 5:6. Which of the
CHARITABLE ANNUAL DONATIONS TO CHARITY GROUP XIf Company A had, on average, 15 times as many employees in the period 1980–2000 as did Company K, then which of the following is closest to the ratio
36a = 25bab ≠ 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 5 6 Quantity B a - b
Jenny’s factory produces gear shafts at the rate of 250 gear shafts per hour. She finds that she is short 3000 gear shafts on an order that must be completed in the next 10 hours. By what percent
James can swim 750 yards in 10 minutes. If he swims at the same constant rate, how many minutes will it take him to swim 4.2 times this distance?
b is a multiple of positive integer a.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 = 1/6 and 6/7 = 5/b, what is the value of a + b?a. 71/210b. 3c. 187/42d. 6e. 47/6
If the ratio of b to c is 35 to 4, and the ratio of a to c is 3 to 7, then what is the ratio of a to b?a. 3/35b. 4/35c. 1/5d. 1/4e. 7/15
Keri, Neill, and Rich use toilet paper in their apartment in a ratio of 3:2:2. Rich buys two cases of toilet paper online for everyone’s use at 28 rolls per case, an average of $3.50/roll and a $14
In one day, Juan sends Keith three times as many messages as he sends Laurence, and Laurence sends Missy 4.5 times as many messages as he receives from Juan. If Missy received 18 messages from
By volume, cranberry juice makes up 12.5 percent of Bee’s punch and 25 percent of Flo’s punch. If 3 liters of Bee’s punch are mixed with 6 liters of Flo’s punch, approximately what percent of
A 60 ounce package of trail mix contains x ounces of raisins, x + 8 ounces of peanuts, and 32 ounces of granola. If the ratio of peanuts to granola is 9:16, what is the value of x?
At the beginning of the day, the ratio of cats to dogs at a boarding kennel was 10 to 11. Throughout the day, 4 dogs and 5 cats were admitted to the boarding kennel and no animals were released.a.
A machine works at a constant rate and produces a bolts in 15 minutes and b bolts in c hours.a. Quantity A is greater.b. Quantity B is greater.c. The two quantities are equal.d. The relationship
If the smallest angle of a triangle measures 45 degrees, which of the following could be the ratio of the three angles of the triangle?a. 2:3:3b. 3:4:5c. 3:5:7d. 9:10:17e. 9:11:13f. 15:17:18
If Elier can bake c cakes in h hours, then at this rate how many hours will it take him to bake 777 cakes?a. 777chb. 777h/cc. h/777cd. 777c/he. c/777h
The phacellophora camtschatica, which can grow up to two feet in diameter, is more commonly referred to as the Fried Egg jellyfish because of its white bell and cloudy yellow organs, which give its
Concerned about the noxious effects of pesticides on local rivers, Tess petitioned her local farmers to employ _______ amount of the repellent.a. A capaciousb. An abidingc. A nominald. An enduringe.
The _______ international aid agencies have toward selecting a fresh cause to champion approximately every five years is indicative of their desire to avoid apathy due to overexposure and, instead,
Discussions about the use of high-fructose corn syrup as a sweetener lead to _______ among nutritionists, and the use of aspartame, which is also common, is just as controversial.a. Discordb.
The legitimacy of a fledgling political party is highly dependent on the decorum of its members, since the _______ behavior of any one person can be used to disparage an entire movement.a.
Before the Clone Wars, the Jedi were a powerful peace-keeping force in the galaxy, but they were unable to avoid _______ after Palpatine called out Order 66, which reprogrammed every clone trooper to
Despite his lack of education and somewhat obtuse demeanor, the night watchman was relied upon by many for his _______ advice on matters of love and romance.a. Insightfulb. Jejunec. Pragmaticd.
Further recognition of the destructive effects of targeting fast food advertising at young children may lead to more efforts to _______ such tactics: there is already clear evidence that the
Although typically quite lucid in his explanations of his theories, James used words that were so _______ that the students asked him to review yesterday’s discussion in its entirety.a. Realisticb.
Hollywood studios, usually guided by their penchant for hiring A-list movie stars, are rethinking their strategies in an economy more suited to hiring _______ actors who command far less per picture
Due to the transient nature of her career, Emily could not guarantee that she would get an immutable paycheck every two weeks, and therefore warned her husband that he would need to _______ overtime
Even though the judge personally found the law _______, his moral objection did not provide a legal basis on which to rule the law unconstitutional.a. Anodyneb. Abhorrentc. Propitiousd. Permissiblee.
The Renaissance, Dutch masters, Impressionists, and Cubist paintings were all installed in the same museum gallery with what seemed to be no consideration to the arrangement, but closer examination
Joseph was never outwardly perturbed by bad news, and was known as the _______ of composure. a. Quintessenceb. Banec. Rectord. Epitomee. Antithesisf. Regent
Throughout the mid-2000s, many corporations viewed internet applications such as personal email and social media as detractors from productivity; however, most businesses have now embraced the power
Completely impenetrable to the layperson, the ancient text was _______ even to experts in the field.a. Abstruseb. Unequivocalc. Opaqued. Lucide. Incontrovertiblef. Obtuse
The halcyon days of the new administration belied the president’s _______ journey to the White House.a. Facileb. Tortuousc. Anfractuousd. Imperiale. Dexterousf. Felicitous
The President could not tolerate dissent from his views, and so he only appointed people to his cabinet who were more _______ than advisors.a. Punditsb. Sycophantsc. Cynicsd. Toadiese. Partisansf.
Darryl argued that the poet’s latest volume was ultimately _______, containing no new ideas, indeed nothing but overt drivel.a. Platitudinousb. Nattyc. Jejuned. Labyrinthinee. Laxf. Amorphous
The feudalism practiced by Carolingian rulers was still in its _______ stage; only later did features such as subinfeudation and the consequent necessity of designating a liege lord lead to the
The preening emperor loved to display sartorial splendor, and regularly gave great attention to the detail of his _______.a. Panegyricb. Raimentc. Fetesd. Caparisone. Soireesf. Oratory
After his embezzlement was discovered, the CEO was _______ by board members, shareholders, and customers alike.a. Cachinnatedb. Blandishedc. Upbraidedd. Simperede. Caviledf. Lambasted
The public’s fascination with celebrities coupled with the innovations of the electronic age may inspire a new cadre of amateur “paparazzi”: there are certainly indications that such a trend is
In her recent book Palmeriste: A Biography, Sklar argues that Palmeriste was a connoisseur of many things, rather than a dilettante; Brand believes this is a _______ distinction, obscuring the more
Though Marian thought her grandmother’s hat was unquestionably _______, the young woman respected her elders enough to make no comment on her grandmother’s fashion choices.a. Iconoclasticb.
While the new bistro’s service was absolutely punctilious, the cuisine was rather _______.a. Obsequiousb. Quotidianc. Distastefuld. Pedestriane. Gustatoryf. Pedantic
Many animals such as the poison dart frog, the tiger moth, and the black widow spider give predators advanced warning of their unpalatability or danger through aposematic warning signs, while other
The doctor’s real mistake, from the perspective of his _______ professional friends who quickly jilted him, was not that his choice of treatment was inappropriate, but rather that it was viscerally
When a Roman emperor visited a provincial city, an important part of the ceremony of receptio was the delivery of _______, in which a local poet or orator would lavish praise on the imperial
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