According to Euclid's division lemma,for give | vedclass

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Question

(A) Euclid's division lemma states that for any two positive integers $a$ and $b,$ there exist unique integers $q$ and $r$ such that $a = bq + r,$ whe

Vedclass · Accepted Answer

$0 \leq r < b$

Vedclass · Answer

(A) Euclid's division lemma states that for any two positive integers $a$ and $b,$ there exist unique integers $q$ and $r$ such that $a = bq + r,$ where the remainder $r$ must satisfy the condition $0 \leq r < b.$ This means the remainder $r$ is greater than or equal to $0$ and strictly less than the divisor $b.$ Therefore,the correct condition is $0 \leq r < b.$

According to Euclid's division lemma,for given positive integers $a$ and $b,$ there exist unique non-negative integers $q$ and $r$ such that $a = bq + r,$ where ...........

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