A. In a primary election, the two candidates for each office to be filled receiving the greatest number of votes for that office, shall be nominated and shall proceed to the general election; however, if one of the candidates for an office receives a majority of all votes cast for that office, he alone shall not only be nominated, but also elected ipso facto; and his name shall not appear on the ballot for the general election; and
B. If one of the two candidates nominated for an office in a primary election dies or withdraws before the general election, the remaining candidate shall be elected ipso facto and his or her name need not appear on the general election ballot.