Here is the full list of all 5 Call of Duty: Black Ops II Multiplayer achievements.
Win 10 multiplayer games while playing in Combat Training playlists.
Prestige once in multiplayer Public Match.
Win 10 multiplayer games while playing in Party Games playlists.
Reach Sergeant (Level 10) in multiplayer Public Match.
Win 5 multiplayer League Play games after being placed in a division.