The CJM court, however, accepted his counsel's request for security in jail and home cooked food.
Nagar was arrested last Friday on charges of raping and assaulting a 35-year-old woman in September.
The Jaipur Police had booked Nagar for allegedly raping and beating up the woman on September 11, after calling her to his official bungalow on the pretext of giving her a job.
The CBI on October 9 took over the probe.
Nagar, who tendered his resignation as minister of dairy, khadi and rural industries from the Ashok Gehlot government, was suspended from Congress by the party high command in September.