Elective office shall mean any office which has candidates nominated or elected at the time of a statewide primary election, any office which has candidates nominated at the time of a statewide primary election and elected at the time of a statewide general election, any office which has candidates elected at the time of a statewide general election, any office which has candidates nominated or elected at a city or village election, and any office created by an act of the Legislature which has candidates elected at an election.