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According to Euclid's Division Lemma, for integers $a$ and $b$, the expression for division is
A$a=b+r$
B$a=bq+r$ where $0\le r<b$
C$a=qr$ where $0<r\le b$
D$a=br+q$ where $0\le q<r$
Answer & Solution
Correct answer: B. $a=bq+r$ where $0\le r<b$
Euclid's Division Lemma states that for integers $a$ and $b$, there exist unique integers $q$ and $r$ such that $a=bq+r$ with $0\le r<b$. The condition on $r$ is essential.
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