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A is corrent because it is not necessary that the offer be communicated in words to the offeree. Any actions that manifest an intent to enter into a contract would be sufficient to constitute an offer.
B is incorrect because an offer must be sufficiently definite and certain in order for it to confer the power to form a contract by acceptance.
C is incorrect because the offer must manifest an intent to enter into a contract. The courts will use an objective test to determine the intent of the offeror.
D is incorrect because an offer must be communicated to the offeree and the communication must be made or authorized by the offeror. An offeree may learn of a public offer (e.g., reward) in any way; s/he merely needs knowledge of the offer.