If an integer N is divisible by both 6 and 15, which of the following must N be divisible by?

A 90

B 45

C 30

D 10

✓ Correct Answer: Option C

For N to be divisible by both 6 and 15, N must be a multiple of their least common multiple (LCM). LCM(6, 15) = LCM(2*3, 3*5) = 2*3*5 = 30. Therefore, N must be divisible by 30.

💡 Why is C) the correct answer?

The correct answer to the question "If an integer N is divisible by both 6 and 15, which of the following must N be divisible by?" is Option C: 30.

The other options — A) 90, B) 45, D) 10 — are incorrect for this GRE Exam Prep question. As explained above: For N to be divisible by both 6 and 15, N must be a multiple of their least common multiple (LCM). LCM(6, 15) = LCM(2*3, 3*5) = 2*3*5 = 30. Therefore, N must be divisible by 30.

📚 About This GRE Exam Prep Practice Question

This 2-level GRE 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 GRE Exam Prep practice test or use flashcards for spaced repetition review.

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If an integer N is divisible by both 6 and 15, which of the following must N be divisible by?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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