Being truthful on a job application is always the best option. Read the instructions and the question very carefully and be honest. If the question asks if you have ever been arrested, remember that a ticket for a Minor In Possession of Alcohol or Driving Under the Influence of Alcohol or Maintaining a Disorderly House, or any other misdemeanor, even though you were never physically taken to jail, the ticket is considered an arrest.
Remember that even if you did pretrial diversion for a ticket/arrest, the police department that issued the ticket will always keep a record of the ticket/arrest. If you do pretrial diversion the charge will show up on police records as dismissed, meaning you have no conviction.