Problem Solving

Problem Solving is the backbone of the GMAT Quant section: a question stem, five answer choices, and a two-minute budget. The questions here span arithmetic, algebra, geometry, number properties, inequalities, and word problems — the same mix you will see on test day. Work them untimed while you rebuild fundamentals, then switch to the timer and practice committing to an answer under the clock. Every question includes a full written explanation, so review the ones you miss and log them in your error log: on Quant, most score improvement comes from eliminating repeat mistakes, not from seeing more new questions.

Official GMAT Problem Solving questions with difficulty ratings and topic tags.·Show:20 30 50

All

Start Practice

505-555 (Easy)

Exchange Rates in a Particular Year $1 = 5.3 francs $1 = 1.6 marks An American dealer bought a table in Germany for 480 marks and sold the same table in France for 2,385 francs. What was the dealer's gross profit on the two transactions in dollars?

605-655 (Medium)

Last year Brand X shoes were sold by dealers in 403 different regions worldwide, with an average (arithmetic mean) of 98 dealers per region. If last year these dealers sold an average of 2,488 pairs of Brand X shoes per dealer, which of the following is closest to the total number of pairs of Brand X shoes sold last year by the dealers worldwide?

Sub 505 (Easy)

During a trip that they took together, Carmen, Juan, Maria, and Rafael drove an average (arithmetic mean) of 80 miles each. Carmen drove 72 miles, Juan drove 78 miles, and Maria drove 83 miles. How many miles did Rafael drive?

605-655 (Medium)

A positive integer is divisible by 3 if and only if the sum of its digits is divisible by 3. If the six-digit integer

n

is divisible by 3 and

n

is of the form

1 k 2, k 24

, where

k

represents a digit that occurs twice, how many values could

n

have?

Sub 505 (Easy)

At the start of an experiment, a certain population consisted of 3 animals. At the end of each month after the start of the experiment, the population size was double its size at the beginning of that month. Which of the following represents the population size at the end of 10 months?

605-655 (Medium)

\frac{1}{3}

of the total number of marbles in the three bags listed in the table above are blue, how many marbles are there in Bag

Q

Sub 505 (Easy)

A certain high school has 5,000 students. Of these students, x are taking music, y are taking art, and z are taking both music and art. How many students are taking neither music nor art?

605-655 (Medium)

The table above gives the age categories of the 161 employees at Company X and the number of employees in each category. According to the table, if

m

is the median age, in years, of the employees at Company X, then

m

must satisfy which of the following?

505-555 (Easy)

The table above shows the number of packages shipped daily by each of the five companies during a 4-day period. The standard deviation of the numbers of packages shipped daily during the period was greatest for which of the five companies?

605-655 (Medium)

k

and

n

are positive integers such that

n > k

, then

k! + (n - k) \cdot (k - 1)!

is equivalent to which of the following?

505-555 (Easy)

Thabo owns exactly 140 books, and each book is either paperback fiction, paperback nonfiction, or hardcover nonfiction. If he owns 20 more paperback nonfiction books than hardcover nonfiction books, and twice as many paperback fiction books as paperback nonfiction books, how many hardcover books nonfiction books does Thabo own?

605-655 (Medium)

Ron is 4 inches taller than Amy, and Barbara is 1 inch taller than Ron. If Barbara’s height is 65 inches, what is the median height, in inches, of these three people?

505-555 (Easy)

A salesperson who had been driving at a speed of 100 kilometers per hour slowed down to a speed of 47 kilometers per hour. Approximately how many miles per hour was the speed reduced?

605-655 (Medium)

x

and

y

are positive numbers such that

x + y = 1

, which of the following could be the value of

100 x + 200 y

? I. 80 II. 140 III. 199

Sub 505 (Easy)

According to a survey of 200 people, 60 enjoy skiing and 80 enjoy skating. If the number of people who enjoy neither skiing nor skating is 2 times the number of people who enjoy both skiing and skating, how many people surveyed enjoy neither skiing nor skating?

605-655 (Medium)

X

is the hundredths digit in the decimal

0.1 X

and if

Y

is the thousandths digit in the decimal

0.02 Y

, where

X

and

Y

are nonzero digits, which of the following is closest to the greatest possible value of

\frac{0.1 X}{0.02 Y}

Sub 505 (Easy)

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

605-655 (Medium)

If each of the 12 teams participating in a certain tournament plays exactly one game with each of the other teams, how many games will be played?

Sub 505 (Easy)

Each person who attended a company meeting was either a stockholder in the company, an employee of the company, or both. If 62 percent of those who attended the meeting were stockholders and 47 percent were employees, what percent were stockholders who were not employees?

605-655 (Medium)

For which of the following values of

x

1 - 2 - x

not defined as a real number?

← PreviousPage 16 of 68Next →