[@Venku][@Shadow Daedalus] Ok. So...mages since they are detected with magical talent are sent to the Citadel. An anti-magic prison. Every 6 years a few mages ( 1/8 of the population ) are allowed to study to casts spells for the kingdom when needed. If a mage gathers too much power / too much knowledge he is sent to the Death Row and killed. The mages that are not selected are kept in magic-dampering cells. 
So...if a mage would learn to use a sword in secret then he will probably be on the Death Row and are selected for the Quest because of that skill.
As for magic that is used in infusing objects , it exists and three persons are choosed every 7 years to do that and they are kept 'till they die / become too strong. 
Did I answered your questions ?