Which two elective offices are not decided by direct popular vote?

The President and Vice President of the United States are not directly elected by the popular vote, but rather through an Electoral College system. In this system, citizens cast their votes for electors pledged to vote for a specific presidential candidate. These electors then formally elect the President and Vice President. This process highlights the role of the Electoral College as a mechanism that essentially represents the collective choices of voters in each state rather than a straightforward national popular vote.

In contrast, the other options involve positions that are typically filled through direct voting by the electorate within their respective jurisdictions, such as Senators and Representatives being elected directly by the people, or Governors and Mayors who are also chosen through a popular election. The structure of the offices and the election processes varies, making the method of electing the President and Vice President distinct due to the involvement of the Electoral College.