When a positive integer N is divided by 7, the remainder is 3. When N is divided by 4, the remainder is 2. What is the smallest possible value of N?

A 10

B 17

C 24

D 31

✓ Correct Answer: Option A

From the conditions, N = 7k + 3 and N = 4m + 2. We list values: 7k+3: 10, 17, 24, 31... and 4m+2: 6, 10, 14, 18... The smallest common value is 10.

💡 Why is A) the correct answer?

The correct answer to the question "When a positive integer N is divided by 7, the remainder is 3. When N is divided by 4, the remainder is 2. What is the smallest possible value of N?" is Option A: 10.

The other options — B) 17, C) 24, D) 31 — are incorrect for this GMAT Exam Prep question. As explained above: From the conditions, N = 7k + 3 and N = 4m + 2. We list values: 7k+3: 10, 17, 24, 31... and 4m+2: 6, 10, 14, 18... The smallest common value is 10.

📚 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 7, the remainder is 3. When N is divided by 4, 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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