Given that 'a' and 'b' are positive integers such that a + b = 10. Which of the following is the maximum possible value of a*b?

A 9

B 16

C 25

D 36

✓ Correct Answer: Option C

To maximize the product of two positive integers with a fixed sum, the numbers should be as close to each other as possible. For a + b = 10, the closest positive integers are a=5 and b=5. Their product is 5 * 5 = 25.

💡 Why is C) the correct answer?

The correct answer to the question "Given that 'a' and 'b' are positive integers such that a + b = 10. Which of the following is the maximum possible value of a*b?" is Option C: 25.

The other options — A) 9, B) 16, D) 36 — are incorrect for this GRE Exam Prep question. As explained above: To maximize the product of two positive integers with a fixed sum, the numbers should be as close to each other as possible. For a + b = 10, the closest positive integers are a=5 and b=5. Their produ…

📚 About This GRE Exam Prep Practice Question

This 3-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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Given that 'a' and 'b' are positive integers such that a + b = 10. Which of the following is the maximum possible value of a*b?

✓ Correct Answer: Option C

📚 About This GRE Exam Prep Practice Question

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