Jason thinks of a number.  When the number is divided by $$4$$, the remainder is $$3$$.  When the number is divided by $$5$$, the remainder is $$3$$.  When the number is divided by $$7$$, the remainder is $$5$$.  When the number is divided by $$11$$, the remainder is $$9$$.  What is the smallest number meeting the requirements? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem