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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555-605 (Medium)

Two water pumps, working simultaneously at their respective constant rates, took exactly four hours to fill a certain swimming pool. If the constant rate of one pump was 1.5 times the constant rate of the other, how many hours would it have taken the faster pump to fill the pool if it had worked alone at it's constant rate?

505-555 (Easy)

1 < x < y < z

, which of the following has the greatest value?

555-605 (Medium)

On a recent trip, Cindy drove her car 290 miles, rounded to the nearest 10 miles, and used 12 gallons of gasoline, rounded to the nearest gallon. The actual number of miles per gallon that Cindy's car got on this trip must have been between

505-555 (Easy)

Set

X

consists of eight consecutive integers. Set

Y

consists of all the integers that result from adding 4 to each of the integers in Set

X

and all the integers that result from subtracting 4 from each of the integers in Set

X

. How many more integers are there in Set

Y

than in Set

X

Sub 505 (Easy)

The ratio of the amount of Alex's fuel oil bill for the month of February to the amount of his fuel oil bill for the month of January was 3/2. If the fuel oil bill for February had been $40 more, the corresponding ratio would have been 5/3. How much was Alex's fuel oil bill for January?

505-555 (Easy)

Of the following, which is the closest to

\frac{60.2}{1.03 \times 4.86}

Sub 505 (Easy)

What is the difference between the sixth and the fifth terms of the sequence 2, 4, 7, ... whose nth term is n + 2^(n - 1)?

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 nonfiction books does Thabo own?

Sub 505 (Easy)

In a certain sequence, the term x n is given by the formula x n = 2 * x n − 1 2 * x n − 2 for all n ≥ 2 . If x 0 = 3 and x 1 = 2 , what is the value of x 3 ?

505-555 (Easy)

What is 35 percent of the sum of

1.4

and

\frac{1}{5}

555-605 (Medium)

If money is invested at r percent interest, compounded annually, the amount of the investment will double in approximately 70/r years. If Pat's parents invested $5,000 in a long-term bond that pays 8 percent interest, compounded annually, what will be the approximate total amount of the investment 18 years later, when Pat is ready for college?

505-555 (Easy)

x > 0

\frac{x}{50} + \frac{x}{25}

is what percent of

x

555-605 (Medium)

An object thrown directly upward is at a height of h feet after t seconds, where h = -16 (t -3)^2 + 150. At what height, in feet, is the object 2 seconds after it reaches its maximum height?

505-555 (Easy)

During a certain time period, Car

X

traveled north along a straight road at a constant rate of 1 mile per minute and used fuel at a constant rate of 5 gallons every 2 hours. During this time period, if Car

X

used exactly 3.75 gallons of fuel, how many miles did Car

X

travel?

Sub 505 (Easy)

Which of the following inequalities is an algebraic expression for the shaded part of the number line above?

505-555 (Easy)

Which of the following is closest to the value of

\frac{999}{100 + \frac{1}{999}}

Sub 505 (Easy)

Which of the following is equivalent to the pair of inequalities x + 6 > 10 and x - 3 <= 5 ?

505-555 (Easy)

The population of City

X

is 50 percent of the population of City

Y

. The population of City

X

is what percent of the total population of City

X

and City

Y

Sub 505 (Easy)

If m (− 1) = − 1 3 then m (− 2) is equal to

505-555 (Easy)

A bicycle store purchased two bicycles, one for

$250

and the other for

$375

, and sold both bicycles at a total gross profit of

$250

. If the store sold one of the bicycles for

$450

, which of the following could be the store's gross profit from the sale of the other bicycle?

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