Question 1
Compare the numbers
$$P=\underbrace{888\ldots888}_{2010\text{ digits}}\times\underbrace{333\ldots333}_{2010\text{ digits}}$$
and
$$Q=\underbrace{444\ldots444}_{2010\text{ digits}}\times\underbrace{666\ldots667}_{2010\text{ digits}}.$$
$$P=\underbrace{888\ldots888}_{2010\text{ digits}}\times\underbrace{333\ldots333}_{2010\text{ digits}}$$
and
$$Q=\underbrace{444\ldots444}_{2010\text{ digits}}\times\underbrace{666\ldots667}_{2010\text{ digits}}.$$