（UK Emanuel School Entrance Examination Year $7$ Entry Question \#$28$）  When my age is divided by~$2$,$3$,$4$~or~$6$~there is always a remainder of~$1$. But when divided by~$7$~there is no remainder. How old am I? 
Overseas Competition->Knowledge Point->Number Theory Modules->Remainder Problems->Chinese Remainder Theorem->Chinese Remainder Theorem with Constant Remainder