GMAT Quant Practice Test

Topic 1.1 · Apply it

A store sells pens at 3 for $4.50. At this rate, how much do 8 pens cost?

Topic 1.1 · Apply it

If 40% of x is 18, what is 25% of x?

Topic 1.1 · Apply it

An employee's salary is increased by 10%, and a year later the new salary is increased by another 10%. By what percent has the salary increased overall?

Topic 1.1 · Apply it

When the positive integer n is divided by 7, the remainder is 3. What is the remainder when 4n is divided by 7?

Topic 1.1 · Apply it

The average of five numbers is 18. When one number is removed, the average of the remaining four numbers is 16. What number was removed?

Topic 1.1 · Concept check

What is 0.2 × 0.03?

Topic 1.1 · Apply it

A 10-liter solution is 20% salt. How many liters of pure water must be added to make the solution 8% salt?

Topic 1.1 · Apply it

Machine A can complete a job in 6 hours, and Machine B can complete the same job in 3 hours. Working together at these rates, how long do they take to complete the job?

Topic 1.1 · Apply it

$1,000 is invested at 10% interest compounded annually. What is the value of the investment after 2 years?

Topic 1.1 · Apply it

How many integers from 1 to 100, inclusive, are divisible by 3 or by 5?

Topic 1.1 · Apply it

A class of 40 students has boys and girls in the ratio 3 : 5. How many more girls than boys are in the class?

Topic 1.2 · Concept check

If 3(x − 2) = 2x + 5, what is the value of x?

Topic 1.2 · Apply it

If 2^x = 32, what is the value of 2^{x + 1}?

Topic 1.2 · Apply it

If x² − 9 = 0 and x < 0, what is the value of x² + x?

Topic 1.2 · Apply it

If 2x + 3y = 12 and 4x − y = 10, what is the value of x + y?

Topic 1.2 · Apply it

Which of the following describes all values of x for which 3 − 2x > 11?

Topic 1.2 · Apply it

If (x + y)² = 49 and xy = 10, what is the value of x² + y²?

Topic 1.2 · Apply it

If a/b = 2/5 and b/c = 3/4, what is a/c?

Topic 1.2 · Apply it

For what value of k does the equation x² − 4x + k = 0 have exactly one real solution?

Topic 1.2 · Apply it

In a sequence, a₁ = 3 and each term after the first is 5 more than the term before it. What is a₂₀?

Topic 1.2 · Apply it

What is the sum of all values of x that satisfy |x − 3| = 5?