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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555-605 (Medium)

Equal amounts of water were poured into two empty jars of different capacities, which made one jar 1/4 full and other jar 1/3 full. If the water in the jar with lesser capacity is then poured into the jar with greater capacity, what fraction of the larger jar will be filled with water?

605-655 (Medium)

The population of a bacteria culture doubles every 2 minutes. Approximately how many minutes will it take for the population to grow from 1,000 to 500,000 bacteria?

Sub 505 (Easy)

A certain population of bacteria doubles every 10 minutes. If the number of bacteria in the population initially was 10^4, what was the number in the population 1 hour later?

Sub 505 (Easy)

For all numbers s and t, the operation * is defined by s*t = (s - 1)(t + 1). If (-2)*x = -12, then x =

505-555 (Easy)

The temperature in degrees Celsius (C) can be converted to temperature in degrees Fahrenheit (F) by the formula F = 9 5 * C + 32 . What is the temperature at which F = C?

505-555 (Easy)

If the number n of calculators sold per week varies with the price p in dollars according to the equation n = 300 - 20p, what would be the total weekly revenue from the sale of $10 calculators?

505-555 (Easy)

If x ≠ 2 , then 3 x 2 (x − 2) − x + 2 x − 2

Sub 505 (Easy)

If x > 3,000, then the value of x/(2x + 1) is closest to

Sub 505 (Easy)

(1 + 5 √) (1 − 5 √) = (1 + 5) (1 − 5) =

505-555 (Easy)

If x and y are different integers and x^2 = xy, which of the following must be true? I. x = 0 II. y = 0 III. x = -y

555-605 (Medium)

(− 1.5) (1.2) − (4.5) (0.4) 30

555-605 (Medium)

If k ≠ 0 and k − 3 − 2 k 2 k = x k , then x =

Sub 505 (Easy)

If (b - 3)(4 + 2/b) = 0 and b ≠ 3, then b =

555-605 (Medium)

If b < 2 and 2x - 3b = 0, which of the following must be true?

705-805 (Hard)

If d > 0 and 0 < 1 - c/d < 1, which of the following must be true? I. c > 0 II. c/d < 1 III. c^2 + d^2 > 1

Sub 505 (Easy)

Last year Carlos saved 10 percent of his annual earnings. This year he earned 5 percent more than last year and he saved 12 percent of his annual earnings. The amount saved this year was what percent of the amount saved last year?

Sub 505 (Easy)

In a mayoral election, Candidate X received 1/3 more votes than Candidate Y, and Candidate Y received 1/4 fewer votes than Candidate Z. If Candidate Z received 24,000 votes, how many votes did Candidate X receive?

Sub 505 (Easy)

The value of -3-(-10) is how much greater than the value of -10-(-3) ?

Sub 505 (Easy)

The number 2 - 0.5 is how many times the number 1 - 0.5?

505-555 (Easy)

If Mel saved more than $10 by purchasing a sweater at a 15 percent discount, what is the smallest amount the original price of the sweater could be, to the nearest dollar?

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