Judicial Magistrate (First Class) Shama Joshi ordered six days' police custody of Tejpal after the prosecution sought his remand for 14 days.
Public prosecutor Frances Tavera sought police custody of Tejpal saying his custodial interrogation was needed because of the nature of the crime involved.
Tejpal's lawyers opposed the demand for police custody saying he was cooperating with the Crime Branch.
A woman journalist employed with Tehelka had accused its editor Tejpal of sexually assaulting her twice on November 7 and 8 in a lift in a five star hotel in Goa. He has been booked under Sections 354A (outraging the modesty of a woman) and 376 (2)(K) (custodial rape) of IPC.
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The judge had said the applicant is not only an influential person but the record prima facie indicates that the applicant tried to influence the family of the victim and the possibility of the applicant interfering with the evidence cannot be ruled out.
Police sources said that serious interrogation of Tejpal began only today.