A number when divided by 5 gives remainder 3 and when divided by 7 gives remainder 4. What is the smallest such number?

A 18

B 53

C 38

D 23

✓ Correct Answer: Option A

Numbers with remainder 3 when ÷5: 3,8,13,18,23... Numbers with remainder 4 when ÷7: 4,11,18,25... First common = 18.

💡 Why is A) the correct answer?

The correct answer to the question "A number when divided by 5 gives remainder 3 and when divided by 7 gives remainder 4. What is the smallest such number?" is Option A: 18.

The other options — B) 53, C) 38, D) 23 — are incorrect for this GMAT Exam Prep question. As explained above: Numbers with remainder 3 when ÷5: 3,8,13,18,23... Numbers with remainder 4 when ÷7: 4,11,18,25... First common = 18.

📚 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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A number when divided by 5 gives remainder 3 and when divided by 7 gives remainder 4. What is the smallest such number?

✓ Correct Answer: Option A

📚 About This GMAT Exam Prep Practice Question

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