Mathematics · Real Numbers

Euclid's division lemma states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy:

Verified Solution4 OptionsUpdated: October 2026👁️1 View

10 < r < b
20 ≤ r < b✓
30 < r ≤ b
41 < r < b

Correct answer

0 ≤ r < b

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Euclid's division lemma states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy:

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Euclid's division lemma states that for any positive integers a and b, there exist unique integers q and r such that a = bq + r, where r must satisfy:

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