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 the length of an edge of cube X is twice the length of an edge of cube Y, what is the ratio of the volume of cube Y to the volume of cube X?

Sub 505 (Easy)

Last year's receipts from the sale of candy on Valentine's Day totaled 385 million dollars, which represented 7 percent of total candy sales for the year. Candy sales for the year totaled how many million dollars?

Sub 505 (Easy)

If a square region has area n, what is the length of the diagonal of the square in terms of n ?

Sub 505 (Easy)

What is the perimeter of the figure above" ?

Sub 505 (Easy)

What number when multiplied by 4/7 yields 6/7 as the result?

Sub 505 (Easy)

If a printer can print 2 pages of text per second, then, at this rate, approximately how many minutes will it take to print 5,000 pages of text?

Sub 505 (Easy)

If x = -(2 - 5), then x =

Sub 505 (Easy)

If x = -1, then -(x^4 + x^3 + x^2 + x) =

Sub 505 (Easy)

If (2 x) (2 y) = 8 and (9 x) (3 y) = 81 , then (x,y) equals:

Sub 505 (Easy)

If x is a number such that x 2 − 3 x + 2 = 0 and x 2 − x − 2 = 0 , what is the value of x ?

Sub 505 (Easy)

If one root of the equation 2x^2 + 3x – k = 0 is 6, what is the value of k?

Sub 505 (Easy)

If p = 0.2 and n = 100, then p (1 − p) n − − − √ p (1 − p) n =

705-805 (Hard)

For positive integers 'n', it is known that 1 + 3 + 5 + ... + (2*n - 1) = n 2 . Evaluate 1 + 3 + 5 + . . + 739 741 + 743 + . . + 1479 1 + 3 + 5 + . . + 739 741 + 743 + . . + 1479

555-605 (Medium)

In Company X, 30 percent of the employees live over ten miles from work and 60 percent of the employees who live over ten miles from work use car pools. If 40 percent of the employees of Company X use car pools, what percent of the employees of Company X live ten miles or less from work and use car pools?

Sub 505 (Easy)

The regular hourly wage for an employee of a certain factory is $5.60. If the employee worked 8 hours overtime and earned 1 1/2 times this regular hourly wage for overtime, how much overtime money was earned?

605-655 (Medium)

A ladder 25 feet long is leaning against a wall that is perpendicular to level ground. The bottom of the ladder is 7 feet from the base of the wall. If the top of the ladder slips down 4 feet, how many feet will the bottom of the ladder slip?

505-555 (Easy)

If 10 persons meet at a reunion and each person shakes hands exactly once with each of the others, what is the total number of handshakes?

Sub 505 (Easy)

Working alone, R can complete a certain kind of job in 9 hours. R and S, working together at their respective rates, can complete one of these jobs in 6 hours. In how many hours can S, working alone, complete one of these jobs?

505-555 (Easy)

What is the least possible product of 4 different integers, each of which has a value between –5 and 10, inclusive?

Sub 505 (Easy)

An investor purchased x shares of stock at a certain price. If the stock then increased in price

0.25 p er s ha r e an d t h e t o t a l in cr e a se f or t h e x s ha r es w a s

12.50. how many shares of stock had been purchased?

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