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)

If it is true that x > -2 and x < 7, which of the following must be true?

555-605 (Medium)

What is the sum of the integers in the table above?

505-555 (Easy)

3, k, 2, 8, m, 3 The arithmetic mean of the list of numbers above is 4. If k and m are integers and k ≠ m, what is the median of the list?

555-605 (Medium)

Last year Department Store X had a sales total for December that was 4 times the average (arithmetic mean) of the monthly sales totals for January through November. The sales total for December was what fraction of the sales total for the year?

Sub 505 (Easy)

The Official Guide For GMAT® Quantitative Review, 2ND Edition If a basketball team scores an average (arithmetic mean) of x points per game for n games and then scores y points in its next game, what is the team's average score for the n+1 games?

Sub 505 (Easy)

If x + y = 8z, then which of the following represents the average (arithmetic mean) of x, y, and z, in terms of z ?

555-605 (Medium)

The sum of the ages of Doris and Fred is y years. If Doris is 12 years older than Fred , how many years old will Fred be y years from now, in terms of y ?

Sub 505 (Easy)

If Mario was 32 years old 8 years ago, how old was he x years ago?

Sub 505 (Easy)

Craig sells major appliances. For each appliance he sells, Craig receives a commission of

50 pl u s 10 p er ce n t o f t h ese l l in g p r i ce . D u r in g o n e p a r t i c u l a r w ee k C r ai g so l d 6 a ppl ian ces f or se l l in g p r i ces t o t a l in g

3,620. What was the total of Craig's commissions for that week?

Sub 505 (Easy)

Rene earns $8.50 per hour on days other than Sundays and twice that rate on Sundays. Last week she worked a total of 40 hours, including 8 hours on Sunday. What were her earnings for the week?

505-555 (Easy)

A certain manufacturer produces items for which the production costs consist of annual fixed costs totaling

130, 000 an d v a r iab l ecos t s a v er a g in g

8 per item. If the manufacturer's selling price per item is

15, h o w man y i t e m s m u s tt h e man u f a c t u r er p r o d u ce an d se l l t oe a r nanann u a l p r o f i t o f

150,000 ?

Sub 505 (Easy)

A certain grocery purchased x pounds of produce for p dollars per pound. If y pounds of the produce had to be discarded due to spoilage and the grocery sold the rest for s dollars per pound, which of the following represents the gross profit on the sale of the produce?

Sub 505 (Easy)

If 3 pounds of dried apricots that cost x dollars per pound are mixed with 2 pounds of prunes that cost y dollars per pound, what is the cost, in dollars, per pound of the mixture?

Sub 505 (Easy)

If (7 3 4) n = 7 , what is the value of n?

555-605 (Medium)

Two trains, X and Y, started simultaneously from opposite ends of a 100-mile route and traveled toward each other on parallel tracks. Train X, traveling at a constant rate, completed the 100-mile trip in 5 hours; Train Y, traveling at a constant rate, completed the 100-mile trip in 3 hours. How many miles had Train X traveled when it met Train Y?

Sub 505 (Easy)

How many minutes does it take to travel 120 miles at 400 miles per hour?

505-555 (Easy)

A train travels from New York to Chicago, a distance of approximately 840 miles, at an average rate of 60 miles per hour and arrives in Chicago at 6:00 in evening, Chicago time. At what hour in the morning, New York time, did the train depart for Chicago? (Note : Chicago time is one hour earlier than New York time)

Sub 505 (Easy)

The Official Guide For GMAT® Quantitative Review, 2ND Edition An automobile's gasoline mileage varies, depending on the speed of the automobile, between 18.0 and 22.4 miles per gallon, inclusive. What is the maximum distance, in miles, that the automobile could be driven on 15 gallons of gasoline?

Sub 505 (Easy)

Three business partners, Q, R, and S, agree to divide their total profit for a certain year in the ratios 2:5:8, respectively. If Q's share was $4,000, what was the total profit of the business partners for the year?

Sub 505 (Easy)

What is the ratio of 3/4 to the product 4(3/4)?

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