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 project scheduled to be carried out over a single fiscal year has a budget of

12, 600, d i v i d e d in t o 12 e q u a l m o n t h l y a l l oc a t i o n s . A tt h ee n d o f t h e f o u r t hm o n t h o f t ha t f i sc a l y e a r, t h e t o t a l am o u n t a c t u a l l y s p e n t o n t h e p r o j ec tw a s

4,580. By how much was the project over its budget?

555-605 (Medium)

In the figure above, the point on segment PQ that is twice as far from P as from Q is

505-555 (Easy)

A restaurant meal cost $35.50 and there was no tax. If the tip was more than 10 percent but less than 15 percent of the cost of the meal, then the total amount paid must have been between

Sub 505 (Easy)

Running at the same constant rate, 6 identical machines can produce a total of 270 bottles per minute. At this rate, how many bottles could 10 such machines produce in 4 minutes?

605-655 (Medium)

A rainstorm increased the amount of water stored in State J reservoirs from 124 billion gallons to 138 billion gallons. If the storm increased the amount of water in the reservoirs to 82 percent of total capacity, approximately how many billion gallons of water were the reservoirs short of total capacity prior to the storm?

Sub 505 (Easy)

If a, b, and c are consecutive positive integers and a < b < c, which of the following must be true? I. c - a = 2 II. abc is an even integer. III. (a + b + c)/3 is an integer.

Sub 505 (Easy)

If 2 1 + 2 y = 1 , then y =

505-555 (Easy)

As x increases from 165 to 166, which of the following must increase? I. 2x - 5 II. 1 - 1/x III. 1/(x^2 - x)

505-555 (Easy)

If (x - 1)^2 = 400, which of the following could be the value of x - 5?

505-555 (Easy)

If a square mirror has a 20-inch diagonal, what is the approximate perimeter of the mirror, in inches?

555-605 (Medium)

In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

Sub 505 (Easy)

A committee is composed of w women and m men. If 3 women and 2 men are added to the committee, and if one person is selected at random from the enlarged committee, then the probability that a woman is selected can be represented by

655-705 (Hard)

If t = 1 (2 9 * 5 3) is expressed as a terminating decimal, how many zeros will t have between the decimal point and the fist nonzero digit to the right of the decimal point?

555-605 (Medium)

In the rectangular coordinate system above, the line y = x is the perpendicular bisector of segment AB (not shown), and the x-axis is the perpendicular bisector of segment BC (not shown). If the coordinates of point A are (2,3), what are the coordinates of point C ?

Sub 505 (Easy)

The figure above shows a circular flower bed, with its center at O, surrounded by a circular path that is 3 feet wide. What is the area of the path, in square feet?

505-555 (Easy)

What is the lowest positive integer that is divisible by each of the integers 1 through 7, inclusive?

Sub 505 (Easy)

The dots on the graph above indicate the weights and fuel efficiency ratings for 20 cars. How many of the cars weigh more than 2,500 pounds and also get more than 22 miles per gallon?

Sub 505 (Easy)

The sum of prime numbers that are greater than 60 but less than 70 is

Sub 505 (Easy)

1 − (1 2 − 2 3) =

Sub 505 (Easy)

In the figure above, the coordinates of point V are

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