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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Sub 505 (Easy)

If the length and width of a rectangular garden plot were each increased by 20 percent, what would be the percent increase in the area of the plot?

505-555 (Easy)

If a certain sample of data has a mean of 20.0 and a standard deviation of 3.0, which of the following values is more than 2.5 standard deviations from the mean?

505-555 (Easy)

If a compact disc that usually sells for 12.95

i so n s a l e f or 9.95

, then the percent decrease in price is closest to?

Sub 505 (Easy)

Which of the following CANNOT be the greatest common divisor of two positive integers x and y?

505-555 (Easy)

500 in v es t m e n t an d a

1,500 investment have a combined yearly return of 8.5 percent of the total of the two investments. If the

500 in v es t m e n t ha s a y e a r l y r e t u r n o f 7 p er ce n t, w ha tp er ce n t y e a r l y r e t u r n d oes t h e

1 ,500 investment have?

655-705 (Hard)

On the number line above, the segment from 0 to 1 has been divided into fifths, as indicated by the large tick marks, and also into sevenths, as indicated by the small tick marks. What is the LEAST possible distance between any two of the tick marks?

Sub 505 (Easy)

If x y = 2 3 , then x − y x ?

555-605 (Medium)

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?

Sub 505 (Easy)

2 3 5 − 1 2 3 2 3 − 3 5

605-655 (Medium)

How many two-element subsets of {1, 2, 3, 4} are there that do not contain the pair of elements 2 and 4?

555-605 (Medium)

If y = (x – 5) 2 + (x + 1) 2 – 6 , then y is least when x =

555-605 (Medium)

The number of coronary-bypass operations performed in the United States increased from 13,000 in 1970 to 191,000 in 1983. What was the approidmate percent increase in the number of coronary-bypass operations from 1970 to 1983 ?

605-655 (Medium)

The cost C of manufacturing a product can be estimated by the formula C = 0.03 r s t 2 , where r and s are amounts, in pounds, of two major ingredients and t is production time in hours. if r is increased by 50%, s increased by 20% and t decreased by 30%, by approximately what % will the estimated cost of manufacturing the product change.

Sub 505 (Easy)

If 3/x = 2 and y/4 = 3, then (3 + y)/(x + 4) =

Sub 505 (Easy)

If -3 is 6 more than x, what is the value of x/3?

505-555 (Easy)

Anne bought a computer for

2, 000 an d t h e n p ai d a 5 p er ce n t s a l es t a x, an d H e n r y b o ug h t a co m p u t er f or

1,800 and then paid a 12 percent sales tax. The total amount that Henry paid, including sales tax, was what percent less than the total amount that Anne paid, including sales tax?

555-605 (Medium)

An airline passenger is planning a trip that involves three connecting flights that leave from Airports A, B, and C, respectively. The first flight leaves Airport A every hour, beginning at 8:00 a.m., and arrives at Airport B 2 1 2 hours later. The second flight leaves Airport B every 20 minutes, beginning at 8:00 a.m., and arrives at Airport C 1 1 6 hours later. The third flight leaves Airport C every hour, beginning at 8:45 a.m. What is the least total amount of time the passenger must spend between flights if all flights keep to their schedules?

605-655 (Medium)

For any integer n greater than 1, [n denotes the product of all the integers from 1 to n, inclusive. How many prime numbers are there between [6 + 2 and [6 + 6, inclusive?

555-605 (Medium)

Of the following, which is least ?

605-655 (Medium)

A tourist purchased a total of

1, 500 w or t h o f t r a v e l er ’ sc h ec k s in

10 and

50 d e n o mina t i o n s, D u r in g t h e t r i pt h e t o u r i s t c a s h e d 7 c h ec k s an d t h e n l os t a l l o f t h er es t . I f t h e n u mb er o f

10 checks cashed was one more or one less than the number of $50 checks cashed, what is the minimum possible value of the checks that were lost?

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