Free GMAT® Problem Solving Sample Questions

Practice the Problem Solving Question Type.

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Problem Solving

Question 1Show Details

A code is to be made by arranging 7 letters. Three of the letters used will be the letter A, two of the letters used will be the letter B, one of the letters used will be the letter C, and one of the letters used will be the letter D. If there is only one way to present each letter, how many different codes are possible?






Question 2Show Details

If a rectangular billboard has an area of 104 square feet and a perimeter of 42 feet, what is the length of each of the shorter sides?






Question 3Show Details

If x is an integer and 2.134 x 10x is less than 210,000, what is the greatest possible value for x?






Question 4Show Details

John spent 40 percent of his earnings last month on rent and 30 percent less than what he spent on rent to purchase a new dishwasher. What percent of last month's earnings did John have left over?






Question 5Show Details

If negative integers k and p are NOT both even, which of the following must be odd?






Question 6Show Details

Peter read P books last year, and Nikki read N books last year. If Peter read 35 more books than Nikki last year, which of the following reflects the relationship?






Question 7Show Details

If 2 is the remainder when m is divided by 5, what is the remainder when 3m is divided by 5?






Question 8Show Details

If 2 + 2/x = 3 - 3/x , then x =






Question 9Show Details

To fill and art exhibit, the students in an art course are assigned to create one epiece of artwork each in the following distribution: 13 are sculptures, 18 are oil paintings, 12 are watercolors and the remaining 10 pieces are mosaics. How many students are in the art class?