A challenge may be interposed by a member of the precinct board [election board] or by a party challenger for the following reasons:

A. the person offering to vote is not registered to vote;

B. the person offering to vote is listed among those persons to whom an absentee ballot was mailed;

C. the person offering to vote has already cast a ballot in that election;

D. the person offering to vote is improperly registered because the person is not a qualified elector; or

E. in the case of a primary election, the person desiring to vote is not affiliated with a political party represented on the ballot.