GMAT Practice Questions

Plain index of publicly available GMAT Quant practice questions with worked solutions on GMAT Panda.

• 1-0.000001=
• 2 x+y=12 |y| 12 For how many ordered pairs (x, y) that are solutions of the system above are x and
• 3 r 4 s+5 |s| 5 Given the inequalities above, which of the following CANNOT be the value of r ?
• 3, k, 2, 8, m, 3 The arithmetic mean of the list of numbers above is 4 . If k and m are integers
• 7x + 6y 38,000 4x + 5y 28,000 A manufacturer wants to produce x balls and y boxes. Resource
• A certain bridge is 4,024 feet long. Approximately how many minutes does it take to cross this
• A certain company that sells only cars and trucks reported that revenues from car sales in 1997
• A certain drive-in movie theater has a total of 17 rows of parking spaces. There are 20 parking
• A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce
• A certain manufacturer sells its product to stores in 113 different regions worldwide, with an
• A certain toll station on a highway has 7 tollbooths, and each tollbooth collects 0.75 dollars from
• A certain university will select 1 of 7 candidates eligible to fill a position in the mathematics
• A certain work plan for September requires that a work team, working every day, produce an average
• A company sells radios for 15.00 dollars each. It costs the company 14.00 dollars per radio to
• A couple decides to have 4 children. If they succeed in having 4 children and each child is equally
• A grocer has 400 pounds of coffee in stock, 20 percent of which is decaffeinated. If the grocer
• A positive integer is divisible by 9 if and only if the sum of its digits is divisible by 9 . If n
• A positive integer n is a perfect number provided that the sum of all the positive factors of n,
• A purse contains 57 coins, all of which are nickels, dimes, or quarters. If the purse contains x
• A retailer sold an appliance for 80 dollars. If the retailer's gross profit on the appliance was 25
• A rope 20.6 meters long is cut into two pieces. If the length of one piece of rope is 2.8 meters
• A rug manufacturer produces rugs at a cost of 75USD per rug. What is the manufacturer's gross
• A school club plans to package and sell dried fruit to raise money. The club purchased 12
• A set of numbers has the property that for any number t in the set, t+2 is in the set. If -1 is in
• A souvenir vendor purchased 1,000 shirts for a special event at a price of 5USD each. The vendor
• A store's selling price of 2,240USD for a certain computer would yield a profit of 40 percent of
• A survey of employers found that during 1993 employment costs rose 3.5 percent, where employment
• A technology startup will select 1 project manager from 9 candidates, 2 software engineers from 7
• A total of 5 liters of gasoline is to be poured into two empty containers with capacities of 2
• Ada and Paul received their scores on three tests. On the first test, Ada's score was 10 points
• All 15 members of a foreign language club speak one or more of three languages-Spanish, French, and
• An aerosol can is designed so that its bursting pressure, B, in pounds per square inch, is 120 % of
• An airline passenger is planning a trip that involves three connecting flights that leave from
• Andrew started saving at the beginning of the year and had saved 240USD by the end of the year. He
• At a certain factory, each of Machines A, B, and C is periodically on for exactly 1 minute and
• At a garage sale, all of the prices of the items sold were different. If the price of a radio sold
• At the opening of a trading day at a certain stock exchange, the price per share of stock K was 8
• Becky rented a power tool from a rental shop. The rent for the tool was 12 dollars for the first
• Beth has a collection of 8 boxes of clothing for a charity, and the average (arithmetic mean)
• Beth, Naomi, and Juan raised a total of 55USD for charity. Naomi raised 5USD less than Juan, and
• Carl averaged 2 m miles per hour on a trip that took him h hours. If Ruth made the same trip in 2/3
• Company C produces toy trucks at a cost of 5.00USD each for the first 100 trucks and 3.50USD for
• Consider the following set of inequalities: p>q, s>r, q>t, s>p, and r>q. Between which two
• Dara ran on a treadmill that had a readout indicating the time remaining in her exercise session.
• David and Ron are ordering food for a business lunch. David thinks that there should be twice as
• David used part of 100,000USD to purchase a house. Of the remaining portion, he invested 1/3 of it
• During a certain year, 80 percent of the visitors to the Smithsonian Institution were United States
• Each machine at a toy factory assembles a certain kind of toy at a constant rate of one toy every 3
• Each of the 20 employees at Company J is to receive an end-of-year bonus this year. Agnes will
• Each of the nine digits 0,1,1,4,5,6,8,8, and 9 is used once to form 3 three-digit integers. What is
• Employee X's annual salary is 12,000USD more than half of Employee Y's annual salary. Employee Z's
• Five machines at a certain factory operate at the same constant rate. If four of these machines,
• For all positive integers m and v, the expression m v represents the remainder when m is divided by
• For each trip, a taxicab company charges 4.25 dollars for the first mile and 2.65 dollars for each
• For every even positive integer m, f(m) represents the product of all even integers from 2 to m,
• For positive integers a and b, the remainder when a is divided by b is equal to the remainder when
• For what value of x between -4 and 4 , inclusive, is the value of x^2-10 x+16 the greatest?
• Given that 1^2+2^2+3^2++10^2=385, what is the value of 3^2+6^2+9^2++30^2 ?
• Half of a large pizza is cut into 4 equal-sized pieces, and the other half is cut into 6
• How many 4 -digit positive integers are there in which all 4 digits are even?
• How many integers between 1 and 16, inclusive, have exactly 3 different positive integer factors?
• How many integers x satisfy both 2<x 4 and 0 x 3 ?
• How many positive integer divisors does 8 ! have?
• How many seconds will it take for a car that is traveling at a constant rate of 45 miles per hour
• If 0<r<1<s<2, which of the following must be less than 1 ? I. r/s II. rs III. s-r
• If 1/2 the result obtained when 2 is subtracted from 5 x is equal to the sum of 10 and 3 x, what is
• If 10^50-74 is written as an integer in base 10 notation, what is the sum of the digits in that
• If 310^4=x %, then x=
• If a > 0, b = 2a, and c = 2b, which of the following is equivalent to a^b b^c ?
• If a and b are positive integers and (2^a)^b=2^3, what is the value of 2^a 2^b ?
• If a certain coin is flipped, the probability that the coin will land heads up is 1/2. If the coin
• If a, b, c, and d are consecutive even integers and a<b<c<d, then a+b is how much less than c+d ?
• If Car A took n hours to travel 2 miles and Car B took m hours to travel 3 miles, which of the
• If k is a positive even integer, which of the following must be an odd integer? I. k^2-3 k+4 II.
• If m is an even integer, v is an odd integer, and m>v>0, which of the following represents the
• If m is an integer and m=10^32-32, what is the sum of the digits of m ?
• If n is a positive integer and n^2 is divisible by 72 , then the largest positive integer that must
• If n is a positive integer, then (-2^n)^-2+(2^-n)^2=
• If n=9!-6^4, which of the following is the greatest integer k such that 3^k is a factor of n ?
• If r and s are positive integers such that (2^r)(4^s)=16, then 2 r+s=
• If s and t are integers greater than 1 and each is a factor of the integer n, which of the
• If S is the sum of the reciprocals of the 10 consecutive integers from 21 to 30 , then S is between
• If the amount of federal estate tax due on an estate valued at 1.35 million USD is 437,000USD plus
• If the average (arithmetic mean) of 5 numbers j, j+5,2 j-1,4 j-2, and 5 j-1 is 8 , what is the
• If the average (arithmetic mean) of x, y, and z is 7x and x is not equal to 0, what is the ratio of
• If the probability that event E will occur is k, then the probability that event E will not occur is
• If the smaller of 2 consecutive odd integers is a multiple of 5 , which of the following could NOT
• If the volume of a tank is 4,750 cubic centimeters, what is the volume of the tank in cubic meters?
• If today is a Wednesday, what day of the week will it be in exactly 3 years time, assuming all
• If water is leaking from a certain tank at a constant rate of 1,200 milliliters per hour, how many
• If x and k are integers and (12^x)(4^2 x+1)=(2^k)(3^2), what is the value of k ?
• If x and y are integers and x-y is odd, which of the following must be true? I. x y is even. II.
• If x and y are integers such that 2<x 8 and 2<y 9, what is the maximum value of 1/x-x/y ?
• If x is not equal to -1/2, then 6x^3+3 x^2-8x-4/2x+1=
• If x is to be chosen at random from the set \1,2,3,4\ and y is to be chosen at random from the set
• If x-y=R and x y=S, then (x-2)(y+2)=
• If x, y, and k are positive and x is less than y, then x+k/y+k is
• If x^2+b x+5=(x+c)^2 for all numbers x, where b and c are positive constants, what is the value of
• If x^3/y < 0, and y/z > 0, then which of the following must be less than 1?
• If x+1=t and t=3-x, then x=
• If x+y=2 and x^2+y^2=2, what is the value of x y ?
• If x=-|w|, which of the following must be true?
• If x=-5/8 and y=-1/2, what is the value of the expression -2 x-y^2 ?
• If x=[3]a^6, y=[3]b^6, b is not equal to 0, and a=4b, then x/y=
• If x=k c and y=k t, then y-x=
• If x>0, then 1sqrt(2 x)+sqrt(x)=
• If x>y and y>z, which of the following represents the greatest number?
• If xy = 1, what is the value of 2^(x+y)^22^(x-y)^2?
• If y=|3 x-5|-x^2-3, for what value of x will the value of y be greatest?
• In 2004, the cost of 1 year-long print subscription to a certain newspaper was 4USD per week. In
• In a certain history class of 17 juniors and seniors, each junior has written 2 book reports and
• In a certain learning experiment, each participant had three trials and was assigned, for each
• In a certain region, the number of children who have been vaccinated against rubella is twice the
• In a certain sequence, each term after the first term is one-half the previous term. If the tenth
• In a field day at a school, each child who competed in n events and scored a total of p points was
• In a numerical table with 10 rows and 10 columns, each entry is either a 9 or a 10 . If the number
• In the arithmetic sequence t_1, t_2, t_3, , t_n, , t_1=23 and t_n=t_n-1-3 for each n>1. What is the
• Items that are purchased together at a certain discount store are priced at 3USD for the first item
• Jonah drove the first half of a 100 -mile trip in x hours and the second half in y hours. Which of
• Jorge's bank statement showed a balance that was 0.54 dollars greater than what his records showed.
• José has a collection of 100 coins, consisting of nickels, dimes, quarters, and half-dollars. If he
• Last month, 15 homes were sold in Town X. The average (arithmetic mean) sale price of the homes was
• Last week Jack worked 70 hours and earned 1,260 dollars. If he earned his regular hourly wage for
• Last year members of a certain professional organization for teachers consisted of teachers from 49
• Last year Shannon listened to a certain public radio station 10 hours per week and contributed
• Last year, sales at Company X were 10 % greater in February than in January, 15% less in March than
• List S consists of the positive integers that are multiples of 9 and are less than 100 . What is
• Next month, Ron and Cathy will each begin working part-time at 3/5 of their respective current
• Next year, if Company Q produces x units of a certain product and sells y units of this product,
• Of all the students in a certain dormitory, 1/2 are first-year students and the rest are
• Of the 20 members of a kitchen crew, 17 can use the meat-cutting machine, 18 can use the
• Of the following, which is least?
• Of the total amount that Jill spent on a shopping trip, excluding taxes, she spent 50 percent on
• Of three persons, two take relish, two take pepper, and two take salt. The one who takes no salt
• On a certain day, a bakery produced a batch of rolls at a total production cost of 300 dollars. On
• On a certain transatlantic crossing, 20 percent of a ship's passengers held round-trip tickets and
• On Monday, the opening price of a certain stock was 100 dollars per share and its closing price was
• One side of a parking stall is defined by a straight stripe that consists of n painted sections of
• Pumps A, B, and C operate at their respective constant rates. Pumps A and B, operating
• Running at their respective constant rates, Machine X takes 2 days longer to produce w widgets than
• sqrt(2)4+32 sqrt(2)=
• State X has 77 acres designated as wilderness, which is 0.0003 percent of its total acreage. Which
• Stephanie has 2 1/4 cups of milk on hand and makes 2 batches of cookies, using 2/3 cup of milk for
• Terry needs to purchase some pipe for a plumbing job that requires pipes with lengths of 1 ft 4 in,
• The "prime sum" of an integer n greater than 1 is the sum of all the prime factors of n, including
• The annual interest rate earned by an investment increased by 10 percent from last year to this
• The average (arithmetic mean) length per film for a group of 21 films is t minutes. If a film that
• The average (arithmetic mean) of the positive integers x, y, and z is 3 . If x<y<z, what is the
• The closing price of Stock X changed on each trading day last month. The percent change in the
• The cost of purchasing each box of candy from a certain mail order catalog is v dollars per pound
• The expression n! is defined as the product of the integers from 1 through n. If p is the product
• The function f is defined for all nonzero x by the equation f(x)=x-1/x If x is not equal to 0,
• The function f is defined for each positive three-digit integer n by f(n)=2^x 3^y 5^z, where x, y,
• The hard drive, monitor, and printer for a certain desktop computer system cost a total of
• The infinite sequence a_1, a_2, , a_n, is such that a_1=2, a_2=-3, a_3=5, a_4=-1, and a_n=a_n- _4
• The integer 120 has many factorizations. For example, 120=(2)(60), 120=(3)(4)(10), and
• The number 63-36 sqrt(3) can be expressed as x+y sqrt(3) for some integers x and y. What is the
• The operation is defined for all nonzero numbers a and b by a b=a/b-b/a. If x and y are nonzero
• The price of a certain stock increased by 0.25 of 1 percent on a certain day. By what fraction did
• The sequence a_1, a_2, a_n, is such that a_n=2 a_n-1-x for all positive integers n 2 and for a
• The set of solutions for the equation (x^2-25)^2=x^2-10 x+25 contains how many real numbers?
• The subsets of the set \w, x, y\ are \w\,\x\,\y\,\w, x\,\w, y\,\x, y\,\w, x, y\, and \\ (the empty
• The sum S of the first n consecutive positive even integers is given by S=n(n+1). For what value of
• The toll T, in dollars, for a truck using a certain bridge is given by the formula T=1.50+
• The total area of a certain continent is approximately 3.8 10^16 square inches. Which of the
• The United States Mint produces coins in 1 -cent, 5 -cent, 10 -cent, 25 -cent, and 50 -cent
• The value of (sqrt((8!))+sqrt((9!)))^2 is an integer. What is the greatest integer n such that 2^n
• There are 10 books on a shelf, of which 4 are paperbacks and 6 are hardbacks. How many possible
• There are between 20 and 30 marbles in a jar. If they are counted out 4 at a time, there are 3 left
• There are five sales agents in a certain real estate office. One month Andy sold twice as many
• Three boxes of supplies have an average (arithmetic mean) weight of 7 kilograms and a median weight
• Three people each contributed x dollars toward the purchase of a car. They then bought the car for
• To get a job at Company X, an applicant must be recommended by three interviewers. Out of 30
• To order certain plants from a catalog, it costs 3.00USD per plant, plus a 5 percent sales tax,
• Two numbers differ by 2 and sum to S. Which of the following is the greater of the numbers in terms
• What is the greatest positive integer n such that 5^n divides 10!-(2)(5!)^2 ?
• What is the larger of the 2 solutions of the equation x^2-4 x=96 ?
• What is the remainder when 3^24 is divided by 5 ?
• What is the sum of the odd integers from 35 to 85, inclusive?
• What is the value of x^2 y z-x y z^2, if x=-2, y=1, and z=3 ?
• What values of x have a corresponding value of y that satisfies both x y>0 and x y=x+y ?
• When 24 is divided by the positive integer n, the remainder is 4. Which of the following statements
• When a subscription to a new magazine was purchased for m months, the publisher offered a discount
• When the positive integer k is divided by the positive integer n, the remainder is 11 . If k/n=
• Which of the following is an integer? I. 12!/6! II. 12!/8! III. 12!/7!5!
• Which of the following is equivalent to (10^2)^n+1 ?
• Which of the following represent positive numbers? I. -3-(-5) II. (-3)(-5) III. -5-(-3)
• Working at a constant rate, a copy machine makes 20 copies of a one-page document per minute. If
• x = 1/6 gt^2 In the formula shown, if g is a constant and x=-6 when t=2, what is the value of x
• Yesterday, Candice and Sabrina trained for a bicycle race by riding around an oval track. They both