A number can be xxxx and it will have a remainder of $2$ when divided by $4$. What is the maximum value of the number no larger than $2300$? 
Overseas Competition->Knowledge Point->Number Theory Modules
The number can be written as $$4n+2$$ and $$3x$$.  It must be a multiple of $3$ but leaves a remainder of $2$ when divided by $4$.  $2300$ can be divisible by both $2$ and $3$, so it is $2098$. 