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)

A certain grocery store has 5 checkout lanes. The table above shows the amount of carts the last person waiting in each checkout lane had at closing time yesterday. What was the median number of carts?

605-655 (Medium)

Working alone, pump A can fill a tank in 6 hours and pump B in 12 hours. Working together, how many hours do they need?

655-705 (Hard)

In western Europe, x bicycles were sold in each of the years 1990 and 1993. The bicycle producers of Western Europe had a 42 percent share of this market in 1990 and a 33 percent share in 1993. Which of the following represents the decrease in the annual number of bicycles produced and sold in Western Europe from 1990 to 1993?

505-555 (Easy)

(\frac{1}{2} - \frac{1}{3}) + (\frac{1}{3} - \frac{1}{4}) + (\frac{1}{4} - \frac{1}{5}) + (\frac{1}{5} - \frac{1}{6}) =

505-555 (Easy)

What is the greatest prime factor of 210?

555-605 (Medium)

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

505-555 (Easy)

p

q

r

, and

s

are as shown on the number line above, which of the following products is greatest?

605-655 (Medium)

If the probability of rain on any given day is 0.2, what is the probability that it does NOT rain on two consecutive days?

605-655 (Medium)

The product of two negative numbers is 160. If the lesser of the two numbers is 4 less than twice the greater, what is the greater number?

505-555 (Easy)

Last year

$48, 000

of a certain store's profit was shared by its 2 owners and their 10 employees. Each of the 2 owners received 3 times as much as each of their 10 employees. How much did each owner receive from the

$48, 000

555-605 (Medium)

Seed mixture X is 40 percent ryegrass and 60 percent bluegrass by weight; seed mixture Y is 25 percent ryegrass and 75 % fescue. If a mixture of X and Y contains 30% ryegrass, what percent of the weight of the mixture is X?

505-555 (Easy)

On a vacation, Rose exchanged

$500.00

for euros at an exchange rate of

0.80

euro per dollar and spent

\frac{3}{4}

of the euros she received. If she exchanged the remaining euros for dollars at an exchange rate of

$1.20

per euro, what was the dollar amount she received?

Sub 505 (Easy)

Xavier, Yvonne, and Zelda each try independently to solve a problem. If their individual probabilities for success are 1/4, 1/2 and 5/8, respectively, what is the probability that Xavier and Yvonne, but not Zelda, will solve the problem?

505-555 (Easy)

Each of the 12 squares shown is labeled

x

y

v

, or

w

. What is the ratio of the number of these squares labeled

x

y

to the number of these squares labeled

v

w

555-605 (Medium)

If x and y are positive integers such that y is a multiple of 5 and 3x + 4y = 200, then x must be a multiple of which of the following?

505-555 (Easy)

In the table above, what is the number of green marbles in Jar R?

505-555 (Easy)

If (1/5) m * (1/4) 18 = 1 2 * (10) 35 , then m = ?

505-555 (Easy)

Bouquets are to be made using white tulips and red tulips, and the ratio of the number of white tulips to the number of red tulips is to be the same in each bouquet. If there are 15 white tulips and 85 red tulips available for the bouquets, what is the greatest number of bouquets that can be made using all the tulips available?

605-655 (Medium)

Each year for 4 years, a farmer increased the number of trees in a certain orchard by one fourth of the number of trees in the orchard the preceding year. If all the trees thrived and there were 6,250 trees in the orchard at the end of the 4-year period, how many trees were in the orchard at the beginning of the 4-year period?

505-555 (Easy)

The table above shows the amount of waste material, in tons, recycled by each of five counties in a single year and the amount of waste material, also in tons, that was disposed of in landfills by the five counties in that year. Which county had the lowest ratio of waste material disposed of to waste material recycled in the year reported in the table?

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