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 r must satisfy

(A) 1 < r < b  

(B) 0 < r ≤ b

(C) 0 ≤ r < b  

(D) 0 < r < b

 

Euclid’s division lemma states that for two positive integers a and b, - MCQs from NCERT Exemplar

Euclid’s Division Lemma states that

Given positive integers a and b,

there exist unique integers q and r satisfying

  a = bq + r,

  where 0 ≤ r < b

So, correct answer is (C)

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Transcript

Question 2 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 r must satisfy (A) 1 < r < b (B) 0 < r ≤ b (C) 0 ≤ r < b (D) 0 < r < b

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