According to Euclid's division lemma,for $a$ and $5$,if $a = 5q + r$ is unique,then $r = \ldots$ is not possible.

The largest number which divides $70$ and $125,$ leaving remainders $5$ and $8$ respectively,is

The following real number is expressed in decimal form. Determine whether it is rational or not. If it is rational,express it in the form of $\frac{p}{q}$. $0.\overline{001}$

Show that the cube of any positive integer is of the form $4m, 4m+1$ or $4m+3$ for some integer $m$.

The $\text{g.c.d.}$ $(24, 63) = \dots$

Find $g.c.d.$ of $210$ and $55$ by Euclid's algorithm.