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)

1 1 + 1 2 + 1 3

Sub 505 (Easy)

What percent of 30 is 12 ?

Sub 505 (Easy)

In the circular region with center 0, shown above, the two unshaded sections comprise 3 7 and 1 3 of the area of the circular region. The shaded section comprises what fractional part of the area of the circular region?

505-555 (Easy)

If 3 and 8 are the lengths of two sides of a triangular region, which of the following can be the length of the third side? I. 5 II. 8 III. 11

Sub 505 (Easy)

1 + 1 1 + 1 1 + 1 3 =

Sub 505 (Easy)

29 2 + 29 29

Sub 505 (Easy)

16 + 16 − − − √ = 16 + 16 =

555-605 (Medium)

If 0 < x < 1, which of the following inequalities must be true ? I. x 5 < x 3 II. x 4 + x 5 < x 3 + x 2 III. x 4 − x 5 < x 2 − x 3

Sub 505 (Easy)

If 60 percent of a rectangular floor is covered by a rectangular rug that is 9 feet by 12 feet, what is the area, in square feet, of the floor?

Sub 505 (Easy)

A certain telescope increases the visual range at a particular location from 90 kilometers to 150 kilometers. By what percent is the visual range increased by using the telescope ?

Sub 505 (Easy)

In 1990 a total of x earthquakes occurred worldwide, some but not all of which occurred in Asia. If m o f these earthquakes occurred in Asia, which of the following represents the ratio of the number of earthquakes that occurred in Asia to the number that did NOT occur in Asia?

Sub 505 (Easy)

Two hundred gallons of fuel oil are purchased at

0.91 p er g a l l o nan d a r eco n s u m e d a t a r a t eo f

0.70 worth of fuel per hour. At this rate, how many hours are required to consume the 200 gallons of fuel oil?

Sub 505 (Easy)

If 25 percent of p is equal to 10 percent of q, and pq ≠ 0, then p is what percent of q ?

555-605 (Medium)

How many positive integers less than 20 are either a multiple of 2, an odd multiple of 9, or the sum of a positive multiple of 2 and a positive multiple of 9 ?

Sub 505 (Easy)

If 8 2 x + 3 = 2 3 x + 6 , then x =

555-605 (Medium)

In a recent election, James received 0.5 percent of the 2,000 votes cast. To win the election, a candidate needed to receive more than 50 percent of the vote. How many additional votes would James have needed to win the election?

705-805 (Hard)

One night a certain hotel rented 3/4 of its rooms, including 2/3 of their air conditioned rooms. If 3/5 of its rooms were air conditioned, what percent of the rooms that were not rented were air conditioned?

555-605 (Medium)

If a number between 0 and 1/2 is selected at random, which of the following will the number most likely be between?

605-655 (Medium)

On a certain road 10% of the motorists exceed the posted speed limit and receive speeding tickets, but 20% of the motorists who exceed the posted speed limit do not receive speeding tickets. What percent of the motorists on the road exceed the posted speed limit?

505-555 (Easy)

Increasing the original price of an article by 15 percent and then increasing the new price by 15 percent is equivalent to increasing the original price by

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