Quantitative ReasoningGMAT Focus Edition

GMAT Divisibility & Remainders practice questions

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

Free Divisibility & Remainders practice

5 sample questions

Practice Question 1easyProblem Solving

A company is distributing 120 identical pens among its employees. If each employee receives at least 3 pens, and there are no pens left over, what is the maximum number of employees that can receive pens?

Practice Question 2easyProblem Solving

A company is packaging its products into boxes that can hold exactly 12 items each. If the company has 150 items to package, how many full boxes can be filled, and how many items will remain unpacked?

12 full boxes, 0 items remain

12 full boxes, 6 items remain

13 full boxes, 0 items remain

13 full boxes, 6 items remain

11 full boxes, 18 items remain

Practice Question 3mediumProblem Solving

A laboratory technician is calibrating a set of pipettes. Each pipette dispenses a volume of liquid in milliliters $mL$ that is a multiple of 3. The technician needs to dispense a total volume of 45 mL using these pipettes. If each pipette dispenses at least 3 mL and at most 12 mL, what is the minimum number of pipettes the technician must use?

Practice Question 4mediumProblem Solving

A solar panel installation company tracks daily energy output in kilowatt-hours. System X produced energy equal to a 3-digit number that leaves a remainder of 2 when divided by 7 and a remainder of 3 when divided by 5. System Y produced 25% more energy than System X that day. What is the minimum possible energy output of System Y if it must be a whole number of kilowatt-hours?

150 kWh

160 kWh

170 kWh

180 kWh

190 kWh

Practice Question 5mediumProblem Solving

A basketball team's jersey numbers must be between 1 and 99 (inclusive) and must leave a remainder of 2 when divided by 5. If the team also requires that the square of the jersey number be divisible by 4, how many valid jersey numbers meet both conditions?

Get instant feedback on every question

Sign up free to grade your answers instantly, see full explanations, track your weak topics, and run timed exam sessions. The full PrepSavvy bank spans every GMAT Focus topic at multiple difficulty levels.

Create a free account Try the 5-question sampler

GMAT Divisibility & Remainders practice questions

Free Divisibility & Remainders practice

Get instant feedback on every question

More Quantitative Reasoning topics