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With Interrogatories you serve them on the other party.It is not necessary to file them with the court here unless they go unanswered and become part of say a motion to compel.
Here is the rule that governs..RULE 1.340 INTERROGATORIES TO PARTIES
(a) Procedure for Use. Without leave of court, any party may serve upon any other party written interrogatories to be answered (1) by the party to whom the interrogatories are directed, or (2) if that party is a public or private corporation or partnership or association or governmental agency, by any officer or agent, who shall furnish the information available to that party. Interrogatories may be served on the plaintiff after commencement of the action and on any other party with or after service of the process and initial pleading upon that party. The interrogatories shall not exceed 30, including all subparts, unless the court permits a larger number on motion and notice and for good cause. If the supreme court has approved a form of interrogatories for the type of action, the initial interrogatories shall be in the form approved by the court. Other interrogatories may be added to the approved forms without leave of court, so long as the total of approved and additional interrogatories does not exceed 30. Each interrogatory shall be answered separately and fully in writing under oath unless it is objected to, in which event the grounds for objection shall be stated and signed by the attorney making it. The party to whom the interrogatories are directed shall serve the answers and any objections within 30 days after the service of the interrogatories, except that a defendant may serve answers or objections within 45 days after service of the process and initial pleading upon that defendant. The court may allow a shorter or longer time. The party submitting the interrogatories may move for an order under rule 1.380(a) on any objection to or other failure to answer an interrogatory.
(b) Scope; Use at Trial. Interrogatories may relate to any matters that can be inquired into under rule 1.280(b), and the answers may be used to the extent permitted by the rules of evidence except as otherwise provided in this subdivision. An interrogatory otherwise proper is not objectionable merely because an answer to the interrogatory involves an opinion or contention that relates to fact or calls for a conclusion or asks for information not within the personal knowledge of the party. A party shall respond to such an interrogatory by giving the information the party has and the source on which the information is based. Such a qualified answer may not be used as direct evidence for or impeachment against the party giving the answer unless the court finds it otherwise admissible under the rules of evidence. If a party introduces an answer to an interrogatory, any other party may require that party to introduce any other interrogatory and answer that in fairness ought to be considered with it.
(c) Option to Produce Records. When the answer to an interrogatory may be derived or ascertained from the records of the party to whom the interrogatory is directed or from an examination, audit, or inspection of the records or from a compilation, abstract, or summary based on the records and the burden of deriving or ascertaining the answer is substantially the same for the party serving the interrogatory as for the party to whom it is directed, an answer to the interrogatory specifying the records from which the answer may be derived or ascertained and offering to give the party serving the interrogatory a reasonable opportunity to examine, audit, or inspect the records and to make copies, compilations, abstracts, or summaries is a sufficient answer. An answer shall be in sufficient detail to permit the interrogating party to locate and to identify, as readily as can the party interrogated, the records from which the answer may be derived or ascertained, or shall identify a person or persons representing the interrogated party who will be available to assist the interrogating party in locating and identifying the records at the time they are produced.
(d) Effect on Co-party. Answers made by a party shall not be binding on a co-party.
(e) Service and Filing. Interrogatories shall be arranged so that a blank space is provided after each separately numbered interrogatory. The space shall be reasonably sufficient to enable the answering party to insert the answer within the space. If sufficient space is not provided, the answering party may attach additional papers with answers and refer to them in the space provided in the interrogatories. The interrogatories shall be served on the party to whom the interrogatories are directed and copies shall be served on all other parties. A certificate of service of the interrogatories shall be filed, giving the date of service and the name of the party to whom they were directed. The answers to the interrogatories shall be served upon the party originally propounding the interrogatories and a copy shall be served on all other parties by the answering party. The original or any copy of the answers to interrogatories may be filed by any party when the court should consider the answers to interrogatories in determining any matter pending before the court. The court may order a copy of the answers to interrogatories filed at any time when the court determines that examination of the answers to interrogatories is necessary to determine any matter pending before the court.