question_answer

Euclid's division lemma: For any two positive integers 'a' and 'b', there exist unique integers 'q' and 'r' such that\[\text{a}=\text{bq}+\text{r}\]. What is the condition that 'r' must satisfy?

A)  \[0\le r\le b\]                                   

B)  \[0<r\le b\]

C)  \[0\le r<b\]       

D)        \[0<r<b\]