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

555-605 (Medium)

If [x] denotes the least integer greater than or equal to x and [x/2] = 0, which of the following could be the value of x?

505-555 (Easy)

S = 1 + \frac{1}{2 ^{2}} + \frac{1}{3 ^{2}} + \frac{1}{4 ^{2}} + \frac{1}{5 ^{2}} + \frac{1}{6 ^{2}} + \frac{1}{7 ^{2}} + \frac{1}{8 ^{2}} + \frac{1}{9 ^{2}} + \frac{1}{1 0 ^{2}},

which of the following is true?

605-655 (Medium)

A certain state's milk production was 980 million pounds in 2007 and 2.7 billion pounds in 2014. Approximately how many more million gallons of milk did the state produce in 2014 than in 2007 ?

505-555 (Easy)

A manufacturer of a certain product can expect that between 0.3 percent and 0.5 percent of the units manufactured will be defective. If the retail price is

$2, 500

per unit and the manufacturer offers a full refund for defective units, how much money can the manufacturer expect to need to cover the refunds on 20,000 units?

555-605 (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?

505-555 (Easy)

Which of the following is closest to

\frac{4.2 ( 1 , 590 )}{15.7}

605-655 (Medium)

When a certain tree was first planted, it was 4 feet tall and the height of the tree increased by a constant amount each year for the next 6 years. At the end of the 6th year, the tree was 1/5 taller than it was at the end of the 4th year. By how many feet did the height of the tree increase each year?

505-555 (Easy)

What is the value of

17 + 47

, to the nearest whole number?

Sub 505 (Easy)

125% of 5 =

505-555 (Easy)

Last week Chris earned

x

dollars per hour for the first 40 hours worked plus 22 dollars per hour for each hour worked beyond 40 hours. If last week Chris earned a total of 816 dollars by working 48 hours, what is the value of

x

Sub 505 (Easy)

The quotient when a certain number is divided by 2 3 is 9 2 . What is the number?

505-555 (Easy)

The value of

\frac{\frac{7}{8} + \frac{1}{9}}{\frac{1}{2}}

is closest to which of the following?

555-605 (Medium)

When positive integer x is divided by positive integer y, the remainder is 9. If x/y = 96.12, what is the value of y?

505-555 (Easy)

The positive two-digit integers

x

and

y

have the same digits, but in reverse order. Which of the following must be a factor of

x + y

505-555 (Easy)

The table above shows the numbers of hours of television programs that Jane recorded last week and the numbers of hours she spent viewing these recorded programs. No recorded program was viewed more than once. If h is the number of hours of recorded programs she had not yet viewed by the end of Friday, which of the following intervals represents all of the possible values of h?

505-555 (Easy)

In a certain sequence of 8 numbers, each number after the first is 1 more than the previous number. If the first number is

- 5

, how many of the numbers in the sequence are positive?

Sub 505 (Easy)

A small business invests

9, 900 in e q u i p m e n tt o p r o d u ce a p r o d u c t . E a c h u ni t o f t h e p r o d u c t cos t s

0.65 to produce and is sold for $1.20. How many units of the product must be sold before the revenue received equals the total expense of production, including the initial investment in equipment?

505-555 (Easy)

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?

Sub 505 (Easy)

City X has a population 4 times as great as the population of City Y, which has a population twice as great as the population of City Z. What is the ratio of the population of City X to the population of City Z?

505-555 (Easy)

0 < a < b < c

, which of the following statements must be true? I.

2 a > b + c

II.

c - a > b - a

III.

\frac{c}{a} < \frac{b}{a}

← PreviousPage 6 of 68Next →