Euclid's division lemma sates that for any positive integers a an… - Vidyadip

MCQ

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

A
$1<\text{r}<\text{b}$
B
$0<\text{r}\le\text{b}$
✓
$0\le\text{r}<\text{b}$
D
$0<\text{r}<\text{b}$

✓

Answer

Correct option: C.

$0\le\text{r}<\text{b}$

Euclid's division lemma states that,
For any positive integers $a$ and $b$, there exist unique integers $q$ and $r$ such that
$\text{a}=\text{bq}+\text{r},$ where $0\le\text{r}<\text{b}$

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