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)

In a certain district, the ratio of the number of registered Republicans to the number of registered Democrats was 3/5. After 600 additional Republicans and 500 additional Democrats registered, the ratio was 4/5. After these registrations, there were how many more voters in the district registered as Democrats than as Republicans?

505-555 (Easy)

Which of the following describes all values of x for which 1 − x 2 ≥ 0 ?

Sub 505 (Easy)

Of the five coordinates associated with points A, B, C, D, and E on the number line above, which has the greatest absolute value?

555-605 (Medium)

If 0.0015 * 10 m 0.03 * 10 k = 5 * 10 7 , then m - k =

Sub 505 (Easy)

If x + 5 > 2 and x - 3 < 7, the value of x must be between which of the following pairs of numbers?

505-555 (Easy)

The positive integer n is divisible by 25. If √ n n √ is greater than 25, which of the following could be the value of n/25 ?

505-555 (Easy)

How many integers n are there such that 1< 5n +5 < 25?

Sub 505 (Easy)

If x = 1- 3t and y = 2t - 1, then for what value of t does x = y?

Sub 505 (Easy)

If 1 + 1/x = 2 - 2/x, then x =

Sub 505 (Easy)

If the ratio of apples to bananas is 4 to 3 and the ratio of bananas to cucumbers is 1 to 5, what is the ratio of apples to cucumbers?

Sub 505 (Easy)

Lois has x dollars more than Jim has, and together they have a total of y dollars. Which of the following represents the number of dollars that Jim has?

Sub 505 (Easy)

In a weight-lifting competition, the total weight of Joe's two lifts was 750 pounds. If twice the weight of his first lift was 300 pounds more than the weight of his second lift, what was the weight, in pounds, of his first lift?

Sub 505 (Easy)

There are 4 more women than men on Centerville's board of education. If there are 10 members on the board, how many are women?

505-555 (Easy)

A tank contains 10,000 gallons of a solution that is 5 percent sodium chloride by volume. If 2,500 gallons of water evaporate from the tank, the remaining solution will be approximately what percent sodium chloride?

505-555 (Easy)

√ 16 * 20 + 8 * 32 = 16 * 20 + 8 * 32 − − − − − − √ =

505-555 (Easy)

If n is a positive integer, then n(n+1)(n+2) is

Sub 505 (Easy)

If the quotient a/b positive, which of the following must be true?

505-555 (Easy)

The shaded portion of the rectangular lot shown above represents a flower bed. If the area of the bed is 24 square yards and x = y + 2, then z equals

Sub 505 (Easy)

The average (arithmetic mean) of 10, 30, and 50 is 5 more than the average of 20, 40, and

Sub 505 (Easy)

For which of the following values of n is (100+n)/n NOT an integer?

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