Bud thinks of a number.  When the number is divided by $$4$$, the remainder is $$1$$.  When the number is divided by $$5$$, the remainder is $$2$$.  When the number is divided by $$6$$, the remainder is $$3$$.  It is less than $$100$$. What is the number? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Step-by-step Calculation