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)

A right cylindrical container with radius 2 meters and height 1 meter is filled to capacity with oil. How many empty right cylindrical cans, each with radius 1/2 meter and height 4 meters, can be filled to capacity with the oil in this container?

505-555 (Easy)

During week 1, revenue from eggs provided what percent of the total revenue for Store X?

555-605 (Medium)

Three types of pencils, J, K, and L, cost

0.05,

0.10, and

0.25 e a c h, r es p ec t i v e l y . I f ab o x o f 32 o f t h ese p e n c i l scos t s a t o t a l o f

3.40 and if there are twice as many K pencils as L pencils in the box, how many J pencils are in the box?

555-605 (Medium)

A man who died left an estate valued at

111, 000. H i s w i l l s t i p u l a t e d t ha t hi ses t a t e w a s t o b e d i s t r ib u t e d so t ha t e a c h o f hi s t h r eec hi l d r e n r ece i v e df r o m t h ees t a t e an d hi s p r e v i o u s g i f t s, co mbin e d, t h es am e t o t a l am o u n t . I f h e ha d p r e v i o u s l y g i v e nhi so l d es t c hi l d

15,000, his middle child

10, 000, an d hi sy o u n g es t

2,000, how much did the youngest child receive from the estate?

555-605 (Medium)

How many integers n greater than 10 and less than 100 are such that, if the digits of n are reversed, the resulting integer is n+9 ?

555-605 (Medium)

0.025 * (7.5) * 48) 5 * 0.0024 * (3 / 4) 0.025 * (7.5) * 48) 5 * 0.0024 * (3 / 4)

555-605 (Medium)

In the addition problem above, the number * must be?

605-655 (Medium)

A 5-liter jug contains 4 liters of a saltwater solution that is 15 percent salt. If 1.5 liters of the solution spills out of the jug, and the jug is then filled to capacity with water, approximately what percent of the resulting solution in the jug is salt?

605-655 (Medium)

If an organization were to sell n tickets for a theater production, the total revenue from ticket sales would be 20 percent greater than the total costs of the production. If the organization actually sold all but 5 percent of the n tickets, the total revenue from ticket sales was what percent greater than the total costs of the production?

555-605 (Medium)

A merchant sells an item at a 20% discount, but still makes a gross profit of 20 percent of the cost. What percent of the cost would the gross profit on the item have been if it had been sold without the discount?

505-555 (Easy)

496 − − − √ 4 is between

Sub 505 (Easy)

What is the area of the region enclosed by the figure above?

605-655 (Medium)

Solution Y is 30 percent liquid X and 70 percent water. If 2 kilograms of water evaporate from 8 kilograms of solutions Y and 2 kilograms of solution Y are added to the remaining 6 kilograms of liquid, what percent of this new liquid solution is liquid X?

Sub 505 (Easy)

Kathy bought 4 times as many shares in Company X as Carl and Carl bought 3 times as many shares in the same company as Tom. Which of the following is the ratio of the number of shares bought by Kathy to the number of shares bought by Tom?

Sub 505 (Easy)

Which of the following is equal to 85 percent of 160?

555-605 (Medium)

1 1 0.03 + 1 0.37 =

705-805 (Hard)

A boy walking along a road at 3 kilometers per hour is overtaken by a truck traveling at 40 kilometers per hour. If the truck breaks down 1 kilometer beyond where it passes the boy, how many minutes after the breakdown does the boy reach the truck?

Sub 505 (Easy)

If each photocopy of a manuscript costs 4 cents per page, what is the cost, in cents, to reproduce x copies of an x-page manuscript?

555-605 (Medium)

In 1980, approximately what fraction of the cost to the consumer for the production of 6 ounces of frozen orange juice went to the farmer?

655-705 (Hard)

If a motorist had driven 1 hour longer on a certain day and at an average rate of 5 miles per hour faster, he would have covered 70 more miles than he actually did. How many more miles would he have covered than he actually did if he had driven 2 hours longer and at an average rate of 10 miles per hour faster on that day?

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