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

655-705 (Hard)

Three-fourths of the area of a rectangular lawn 30 feet wide by 40 feet long is to be enclosed by a rectangular fence. If the enclosure has full width and reduced length rather than full length and reduced width, how much less fence will be needed?

655-705 (Hard)

y

is the smallest positive integer such that

3, 150

multiplied by

y

is the square of an integer, then

y

must be

655-705 (Hard)

A border of uniform width is placed around a rectangular photograph that measures 8 inches by 10 inches. If the area of the border is 144 square inches, what is the width of the border, in inches?

655-705 (Hard)

[x]

is the greatest integer less than or equal to

x

, what is the value of

[- 1.6] + [3.4] + [2.7]

555-605 (Medium)

The dial shown above is divided into equal-sized intervals. At which of the following letters will the pointer stop if it is rotated clockwise from S through 1,174 intervals?

655-705 (Hard)

In the first week of the year, Nancy saved

$1

. In each of the next

51

weeks, she saved

$1

more than she had saved in the previous week. What was the total amount that Nancy saved during the

52

weeks?

Sub 505 (Easy)

If x > 0, x/50 + x/25 is what percent of x?

655-705 (Hard)

In a certain sequence, the term

x_{n}

is given by the formula

x_{n} = 2 x_{n - 1} - \frac{1}{2} (x_{n - 2})

for all

n \geq 2

. If

x_{0} = 3

and

x_{1} = 2

, what is the value of

x_{3}

605-655 (Medium)

In the floor plan of an executive's beach house above, the north and south walls of the living room are parallel. What is the floor area, in square feet, of the bedroom?

655-705 (Hard)

During a trip, Francine traveled

x

percent of the total distance at an average speed of

40

miles per hour and the rest of the distance at an average speed of

60

miles per hour. In terms of

x

, what was Francine's average speed for the entire trip?

505-555 (Easy)

In the figure shown, the triangle is inscribed in the semicircle. If the length of line segment AB is 8 and the length of line segment BC is 6, what is the length of arc ABC?

655-705 (Hard)

n = (33)^{43} + (43)^{33}

, what is the units digit of

n

505-555 (Easy)

If k and n are positive integers such that n > k, then k ! + (n − k) * (k − 1) ! is equivalent to which of the following?

655-705 (Hard)

Team A and Team B are competing against each other in a game of tug-of-war. Team A, consisting of

3

males and

3

females, decides to line up male, female, male, female, male, female. The lineup that Team A chooses will be one of how many different possible lineups?

655-705 (Hard)

Last year the price per share of Stock X increased by k percent and the earnings per share of Stock X increased by m percent, where k is greater than m. By what percent did the ratio of price per share to earnings per share increase, in terms of k and m?

655-705 (Hard)

d = \frac{1}{2 ^{3} \times 5 ^{7}}

is expressed as a terminating decimal, how many nonzero digits will

d

have?

Sub 505 (Easy)

In the figure shown, what is the value of x ?

655-705 (Hard)

For any positive integer

n

, the sum of the first

n

positive integers equals

\frac{n ( n + 1 )}{2}

. What is the sum of all the even integers between

99

and

301

555-605 (Medium)

The graph of which of the following equations is a straight line that is parallel to line l in the figure above?

655-705 (Hard)

November

16

2001

, was a Friday. If each of the years

2004

2008

, and

2012

had

366

days, and the remaining years from

2001

through

2014

had

365

days, what day of the week was November

16

2014

← PreviousPage 24 of 68Next →