Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where
(A) 0 ≤ r ≤ a (B) 0 < r < b (C) 0 ≤ r ≤ b (D) 0 ≤ r < b
NCERT Class X
Mathematics - Exemplar Problems
Chapter _QUESTION PAPER SET 1
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Euclid’s division lemma states that for two positive integers a and b, there exist unique integers q and r such that a = bq + r, where 0 ≤ r ≤ b.
It was named after the first Greek Mathematician that is responsible for initiating the ways of thinking about the study of geometry.
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Answer is
a = bq + r , 0 <_ r < b
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