When a positive integer N is divided by 4, the remainder is 3. When N is divided by 5, the remainder is 2. What is the smallest possible value of N?

A 7

B 11

C 17

D 23

✓ Correct Answer: Option A

N can be written as 4k + 3. Possible values: 3, 7, 11, 15, 19, 23, ... N can also be written as 5j + 2. Possible values: 2, 7, 12, 17, 22, ... The smallest common value in both lists is 7.

💡 Why is A) the correct answer?

The correct answer to the question "When a positive integer N is divided by 4, the remainder is 3. When N is divided by 5, the remainder is 2. What is the smallest possible value of N?" is Option A: 7.

The other options — B) 11, C) 17, D) 23 — are incorrect for this GMAT Exam Prep question. As explained above: N can be written as 4k + 3. Possible values: 3, 7, 11, 15, 19, 23, ... N can also be written as 5j + 2. Possible values: 2, 7, 12, 17, 22, ... The smallest common value in both lists is 7.

📚 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 4, the remainder is 3. When N is divided by 5, the remainder is 2. What is the smallest possible value of N?

✓ Correct Answer: Option A

📚 About This GMAT Exam Prep Practice Question

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