In the Dark Frontier episode of Star Trek Voyager, the Borg Queen is contacting Seven of Nine and she tells her that her deassimilation and putting her on board Voyager was intentional, and was part of the plan of having an agent among Voyager's crew.
We know very well that this is not true. Seven of Nine was severed from the Collective at the end of the Borg-Species 8472 War, purely by the actions of Voyager's crew. Her link to the Collective was disabled, the closest Borg cube was destroyed and there is absolutely no chance that the Borg Queen could plan this or even predict such a sequence of events.
Does this means that the Borg Queen is lying to Seven of Nine? Could something as perfect as the queen of all Borg lower herself to such a human tactic like lying, just to make their plans come true?