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 a b = 2 3 which of the following is not true ?

Sub 505 (Easy)

Which of the following is equal to 5 17 × 4 9 ?

555-605 (Medium)

The table below represents the combined net income of all United States companies in each of five sectors for the second quarter of 1996. Which sector had the greatest net income during the first quarter of 1996?

Sub 505 (Easy)

If △ and □ represent single digits in the correctly worked computation above, what is the value of △ + □ ?

Sub 505 (Easy)

If n is a positive integer and k + 2 = 3^n, which of the following could NOT be a value of k ?

Sub 505 (Easy)

In the figure above, the sum of the three numbers in the horizontal row equals the product of the three numbers in the vertical column. What is the value of xy ?

Sub 505 (Easy)

1 2 + 1 3 1 4 = ?

Sub 505 (Easy)

463 − − − √ 463 is between

Sub 505 (Easy)

A certain tax rate is

.82 p er

100.00. What is the rate, expressed as a percent?

505-555 (Easy)

Two oil cans, X and Y, are right circular cylinders, and the height and the radius of Y are each twice those of X. If the oil in can X, which is filled to capacity, sells for $2, then at the same rate, how much does the oil in can Y sell for if Y is filled to only half its capacity?

Sub 505 (Easy)

If a cube has a volume of 64, what is its total surface area??

Sub 505 (Easy)

On 3 sales John has received commissions of

240,

80, and

110, an d h e ha s 1 a dd i t i o na l s a l e p e n d in g . I f J o hni s t or ece i v e ana v er a g e (a r i t hm e t i c m e an) co mmi ss i o n o f e x a c tl y

150 on the 4 sales, then the 4th commission must be

555-605 (Medium)

The size of a television screen is given as the length of the screen’s diagonal. If the screens were flat, then the area of a square 21-inch screen would be how many square inches greater than the area of a square 19-inch screen?

Sub 505 (Easy)

AVERAGE COSTS OF OPERATING SUBCOMPACT, COMPACT, AND MIDSIZE CARS IN THE UNITED STATES, 1982~1986 In 1982 the approximate average cost of operating a subcompact car for 10,000 miles was

Sub 505 (Easy)

In the rectangular coordinate system above, the area of triangle RST is

Sub 505 (Easy)

A certain fishing boat is chartered by 6 people who are to contribute equally to the total charter cost of

480. I f e a c h p er so n co n t r ib u t ese q u a l l y t o a

150 down payment, how much of the charter cost will each person still owe?

Sub 505 (Easy)

Starting from point O on a flat school playground, a child walks 10 yards due north, then 6 yards due east, and then 2 yards due south, arriving at point P. How far apart, in yards, are points O and P?

Sub 505 (Easy)

If a photocopier makes 2 copies in 1 3 1 3 second, then, at the same rate, how many copies does it make in 4 minutes?

Sub 505 (Easy)

A caterer ordered 125 ice-cream bars and 125 sundaes. If the total price was

200.00 an d t h e p r i ceo f e a c hi ce - cr e amba r w a s

0.60, what was the price of each sundae?

Sub 505 (Easy)

For telephone calls between two particular cities, a telephone company charges

0.40 p er min u t e i f t h ec a l l s a r e pl a ce d b e tw ee n 5 : 00 a . m . an d 9 : 00 p . m . an d

0.25 per minute if the calls are placed between 9:00 p.m. and 5:00 a.m. If the charge for a call between the two cities placed at 1:00 p.m. was $10.00, how much would a call of the same duration have cost if it had been placed at 11.00 p.m.?

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