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 and y are positive numbers such that x + y = 1, which of the following could be the value of 100x + 200y?

605-655 (Medium)

What is the remainder when

3^{19}

is divided by 10?

Sub 505 (Easy)

If the positive number d is the standard deviation of n, k and p then the standard deviation of n+1, k+1 and p+1 is

605-655 (Medium)

Of 200 people surveyed, 80 percent own a cellular phone and 45 percent own a pager. If all 200 people surveyed own a cellular phone, or a pager, or both, what percent of those surveyed either do not own a cellular phone or do not own a pager?

505-555 (Easy)

A collection of 16 coins, each with a face value of either 10 cents or 25 cents, has a total face value of $2.35. How many of the coins have a face value of 25 cents?

605-655 (Medium)

At the end of the first quarter, the share price of a certain mutual fund was 20 percent higher than it was at the beginning of the year. At the end of the second quarter, the share price was 50 percent higher than it was at the beginning of the year. What was the percent increase in the share price from the end of the first quarter to the end of the second quarter?

555-605 (Medium)

Al and Ben are drivers for SD Trucking Company. One snowy day, Ben left SD at 8:00 a.m. heading east and Al left SD at 11:00 a.m. heading west. At a particular time later that day, the dispatcher retrieved data from SD’s vehicle tracking system. The data showed that, up to that time, Al had averaged 40 miles per hour and Ben had averaged 20 miles per hour. It also showed that Al and Ben had driven a combined total of 240 miles. At what time did the dispatcher retrieve data from the vehicle tracking system?

605-655 (Medium)

\frac{1}{2}, \frac{1}{4}, \frac{1}{8}, \frac{1}{16}, \frac{1}{32}, \dots

In the sequence above, each term after the first is one-half the previous term. If

x

is the tenth term of the sequence, then

x

satisfies which of the following inequalities?

555-605 (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?

605-655 (Medium)

x y + z = x (y + z)

, which of the following must be true?

555-605 (Medium)

According to the chart shown, which of the following is closest to the median annual number of shipments of manufactured homes in the United States for the years from 1990 to 2000, inclusive?

605-655 (Medium)

Two water pumps, working simultaneously at their respective constant rates, took exactly 4 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 its constant rate?

555-605 (Medium)

The total of company C's assets in 1994 was 300% greater than the total in 1993, which in turn was 400% greater than the total in 1992. If the total of company C's assets in in 1992 was N dollars, which one of the following represents company C's assets in 1994:

605-655 (Medium)

0 < x < 1

, what is the median of the values

x

x^{- 1}

x^{2}

x

, and

x^{3}

555-605 (Medium)

Working alone at its own constant rate, machine R fills 10,000 boxes with pins in 9 hours, and working alone at its own constant rate, machine S fills 5,000 boxes with pins in 3 hours. If machine R and machine S, each working at its own constant rate and for the same period of time, together filled a certain number of boxes with pins, what percent of the boxes were filled by machine R?

605-655 (Medium)

The number of stamps that Kaye and Alberto had were in the ratio 5:3, respectively. After Kaye gave Alberto 10 of her stamps, the ratio of the number Kaye had to the number Alberto had was 7:5. As a result of this event, Kaye had how many more stamps than Alberto?

Sub 505 (Easy)

If f = 3 r (s 1000) 2 and s = 2000 , what is r in terms of f ?

605-655 (Medium)

A vending machine is designed to dispense 8 ounces of coffee into a cup. After a test that recorded the number of ounces of coffee in each of 1,000 cups dispensed by the vending machine, the 12 listed amounts, in ounces, were selected from the data. If the 1,000 recorded amounts have a mean of 8.1 ounces and a standard deviation of 0.3 ounce, how many of the 12 listed amounts are within 1.5 standard deviations of the mean?

505-555 (Easy)

Lane Number Number in Line 1 5 2 4 3 4 5 2 A certain grocery store has 5 checkout lanes. The table above shows the number of people who were waiting in line at each checkout lane at closing time yesterday. What was the median number of people waiting in line?

605-655 (Medium)

In a certain quiz that consists of 10 questions, each question after the first is worth 4 points more than the preceding question. If the 10 questions on the quiz are worth a total of 360 points, how many points is the third question worth?

← PreviousPage 17 of 68Next →