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

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505-555 (Easy)

If snow accumulation increased at a constant rate of 30 millimeters per hour during a certain snowstorm, how many seconds did it take for snow accumulation to increase by 1 millimeter?

605-655 (Medium)

If the units digit of

\frac{5 , 610.37}{1 0 ^{k}}

is 6, what is the value of

k

Sub 505 (Easy)

Jonathan, Kyle, and Michael agreed to pay equal shares of the monthly rent on an apartment. Because Jonathan has a cat, he paid a 1-time pet deposit of

250. T h e p e t d e p os i t an dJ o na t han ’ ss ha r eo f t h e m o n t h l y r e n t f or t h e f i r s t m o n t h t o t a l e d

525. How much is the monthly rent on the apartment?

605-655 (Medium)

Three printing presses, R, S, and T, working together at their respective constant rates, can do a certain printing job in 4 hours. S and T, working together at their respective constant rates, can do the same job in 5 hours. How many hours would it take R, working alone at its constant rate, to do the same job?

555-605 (Medium)

A total of s oranges are to be packaged in boxes that will hold r oranges each, with no oranges left over. When n of these boxes have been completely filled, what is the number of boxes that remain to be filled?

605-655 (Medium)

In a poll, 200 subscribers to Financial Magazine X indicated which of five specific companies they own stock in. The results are shown in the table above. If 15 of the 200 own stock in both IBM and AT&T, how many of those polled own stock in neither company?

505-555 (Easy)

A doctor prescribed 18 cubic centimeters of a certain drug to a patient whose body weight was 120 pounds. If the typical dosage is 2 cubic centimeters per 15 pounds of the body weight, by what percent was the prescribed dosage greater than the typical dosage?

605-655 (Medium)

The sum of all the integers

k

such that

- 26 < k < 24

555-605 (Medium)

There are 8 books in a shelf that consist of 2 paperback books and 6 hardback books. If 4 books are selected at random without replacement, how many different combinations are there that at least one paperback book is selected?

605-655 (Medium)

The number line shown contains three points

R

S

, and

T

, whose coordinates have absolute values

r

s

, and

t

, respectively. Which of the following equals the average (arithmetic mean) of the coordinates of the points

R

S

, and

T

505-555 (Easy)

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?

605-655 (Medium)

Mark and Ann together were allocated

n

boxes of cookies to sell for a club project. Mark sold 10 boxes less than

n

and Ann sold 2 boxes less than

n

. If Mark and Ann have each sold at least one box of cookies, but together they have sold less than

n

boxes, what is the value of

n

505-555 (Easy)

If xy ≠ 0 and x 2 y 2 − x y = 6 , which of the following could be y in terms of x?

605-655 (Medium)

In the correctly worked addition problem shown,

P

Q

R

, and

S

are digits. If

Q = 2 P

, which of the following could be the value of

S

Sub 505 (Easy)

If k is a positive integer, what is the remainder when (k + 2)(k^3 – k) is divided by 6 ?

605-655 (Medium)

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?

555-605 (Medium)

If xy + z = x(y + z), which of the following must be true?

605-655 (Medium)

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?

655-705 (Hard)

A car traveling at a certain constant speed takes 2 seconds longer to travel 1 kilometer than it would take to travel 1 kilometer at 75 kilometers per hour. At what speed, in kilometers per hour, is the car traveling?

605-655 (Medium)

M

is the least common multiple of 90, 196, and 300, which of the following is not a factor of

M

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