$2.031 \overline{2}$ is ............

The $\text{g.c.d.}$ of two numbers is $18$ and their product is $6480$. Their $\text{l.c.m.}$ is ..........

Write whether the square of any positive integer can be of the form $3m + 2$,where $m$ is a natural number. Justify your answer.

Prove that the product of any two consecutive positive integers is divisible by $2$.

The following real number is expressed in decimal form. Determine whether it is rational or not. If rational,express it in the form of $\frac{p}{q}$. $5 . \overline{123456}$

Find the largest number which divides $615$ and $963$ leaving remainder $6$ in each case.