Quantitative ReasoningGMAT Focus Edition

GMAT Exponents & Roots practice questions

Exponents & Roots is a high-yield GMAT topic. Work through these practice questions to build accuracy and speed before test day.

Free Exponents & Roots practice

5 sample questions

Practice Question 1easyProblem Solving

A laboratory technician is measuring the growth of bacteria in a culture. The bacteria population doubles every 3 hours. If the initial population is 500 bacteria, what will the population be after 9 hours?

A.

1,500

B.

2,000

C.

3,000

D.

4,000

E.

4,500

Practice Question 2easyProblem Solving

A software company offers two subscription plans: Plan A costs $10 per month and includes 50 GB of storage, while Plan B costs $100 per month and includes 500 GB of storage. If the company has 90 customers on Plan A and 10 customers on Plan B, what is the average monthly cost per GB of storage across all customers?

A.

$0.18

B.

$0.20

C.

$0.22

D.

$0.24

E.

$0.26

Practice Question 3easyProblem Solving

In a laboratory experiment, the concentration of a chemical solution is modeled by the equation C(x)=3.50×10xC(x) = 3.50 \times 10^{x}, where xx is the number of hours elapsed since the experiment began. After 2 hours, the concentration of the solution is measured to be 350 units. What was the initial concentration of the solution at the start of the experiment?

A.

0.35 units

B.

3.50 units

C.

35.00 units

D.

35.50 units

E.

350.00 units

Practice Question 4easyProblem Solving

A laboratory technician is preparing a chemical solution. The concentration of the solution is given by the formula C=mvC = \frac{m}{v}, where mm is the mass of the solute in grams and vv is the volume of the solution in liters. If the technician adds 15.50 grams of solute to 0.75 liters of solution, what is the concentration of the solution?

A.

12.00 g/L

B.

15.50 g/L

C.

18.67 g/L

D.

20.67 g/L

E.

25.00 g/L

Practice Question 5mediumProblem Solving

A basketball team's performance is analyzed based on their 3-point shooting percentage. In the first half of the season, they made 25\frac{2}{5} of their 3-point attempts. In the second half, they improved and made 37\frac{3}{7} of their attempts. If the team made a total of 70 more 3-point attempts in the second half than in the first half, what fraction of their total 3-point attempts did they make for the entire season?

A.

512\frac{5}{12}

B.

2970\frac{29}{70}

C.

3170\frac{31}{70}

D.

3370\frac{33}{70}

E.

3770\frac{37}{70}

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