Police pleaded for a seven-day remand, upon which the court granted a four-day remand
Dhaka Metropolitan Magistrate Mamunur Rashid passed the order on Sunday after Dhaka Metropolitan Police (DMP) Deputy Commissioner (Media) Masudur Rahman produced him before the court seeking seven days for interrogation.
Saikat, believed to be Rumpa's former boyfriend, was detained for questioning on Saturday night. He was produced before the court after being shown arrested in the case.
In the remand petition, police have said their initial suspicion is that Shaikat, and his cohorts murdered Rumpa by pushing her off a building in Siddheswari.
According to the petition, Rumpa met Saikat near the Siddheswari campus of her university on the night of her death.
The report says they got into a major argument when Saikat told Rumpa that he wanted to break off their relationship.
Later, Saikat and his men took Rumpa to a building near Sidhheswari's Circular Road around 10:45pm on Wednesday, and pushed her off the building, the plea said.
Ultimatum for tougher demonstration
The university students who have been demonstrating for the third consecutive day, asked the authorities concerned to resolve the mystery of the death within 48-hours, threatening to wage a tougher movement, if the demand is not met.
"Rumpa's murder mystery needs to be solved within 48-hours, or else we will go for tougher movement from Wednesday," said agitated student's representative Al Hasan Shovon.
Shovon was among nearly 100 students that carried out a procession inside the university's Siddheswari campus and held rallies there for nearly three hours from 10am.
The body of Rumpa, 22, a second-year English student of the Siddheswari branch of the private university, was recovered from an alley of the area on Wednesday night.
Rumpa died after falling from a multi-storey building, according to the inquest report.
Seconding the inquest report, Dr Sohel Mahmud, head of the Dhaka Medical College Hospital’s (DMCH) Forensic Department, earlier said that Rumpa sustained multiple fractures on her body, implying that she died after falling off a multi-storey facility.
Ever since the filing of the case with Ramna police station in this connection, Rumpa’s family members and fellows have been demanding arrest of the perpetrators, saying that she was murdered.
Rumpa is the daughter of Inspector Md Rokonuddin, in-charge of a police outpost in Habiganj.
However, she used to live with her mother and younger brother in Dhaka's Shantibagh area.