proposition

(noun) (logic) a statement that affirms or denies something and is either true or false.

(noun) a proposal offered for acceptance or rejection. Synonyms: suggestion, proffer. Example: "It was a suggestion we couldn't refuse."

(noun) an offer for a private bargain (especially a request for sexual favors).

(noun) the act of making a proposal. Synonyms: proposal. Example: "They listened to her proposal."

(noun) a task to be dealt with. Example: "Securing adequate funding is a time-consuming proposition."

(verb) suggest sex to. Example: "She was propositioned by a stranger at the party."