If x and y are positive integers such that x < y and x² + y² = 100, what is the value of x?

A 3

B 4

C 6

D 8

✓ Correct Answer: Option C

We need to find two positive integers whose squares sum to 100, with x < y. The Pythagorean triple (6, 8, 10) fits: 6² + 8² = 36 + 64 = 100. Since x < y, x must be 6.

💡 Why is C) the correct answer?

The correct answer to the question "If x and y are positive integers such that x < y and x² + y² = 100, what is the value of x?" is Option C: 6.

The other options — A) 3, B) 4, D) 8 — are incorrect for this GMAT Exam Prep question. As explained above: We need to find two positive integers whose squares sum to 100, with x < y. The Pythagorean triple (6, 8, 10) fits: 6² + 8² = 36 + 64 = 100. Since x < y, x must be 6.

📚 About This GMAT Exam Prep Practice Question

This 2-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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If x and y are positive integers such that x < y and x² + y² = 100, what is the value of x?

✓ Correct Answer: Option C

📚 About This GMAT Exam Prep Practice Question

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