When a positive integer n is divided by 5, the remainder is 3. What is the remainder when 3n is divided by 5?

A 0

B 1

C 2

D 4

✓ Correct Answer: Option D

If n divided by 5 gives a remainder of 3, then n can be expressed as 5k + 3. So, 3n = 3(5k + 3) = 15k + 9. When 15k is divided by 5, the remainder is 0. When 9 is divided by 5, the remainder is 4. Therefore, the remainder when 3n is divided by 5 is 4.

💡 Why is D) the correct answer?

The correct answer to the question "When a positive integer n is divided by 5, the remainder is 3. What is the remainder when 3n is divided by 5?" is Option D: 4.

The other options — A) 0, B) 1, C) 2 — are incorrect for this GMAT Exam Prep question. As explained above: If n divided by 5 gives a remainder of 3, then n can be expressed as 5k + 3. So, 3n = 3(5k + 3) = 15k + 9. When 15k is divided by 5, the remainder is 0. When 9 is divided by 5, the remainder is 4. Th…

📚 About This GMAT Exam Prep Practice Question

This 3-level GMAT Exam Prep question from the Quantitative Reasoning topic is part of BrainForge Quiz's free exam preparation library. Each question includes the correct answer and a detailed explanation to help you understand the underlying concept, not just memorize the answer.

How to use this page: Read the question above, consider all four options (A through D), then check the highlighted correct answer and explanation. For active timed practice, start a free GMAT Exam Prep practice test or use flashcards for spaced repetition review.

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When a positive integer n is divided by 5, the remainder is 3. What is the remainder when 3n is divided by 5?

✓ Correct Answer: Option D

📚 About This GMAT Exam Prep Practice Question

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