The accused Rafikul Islam, Shahidul Islam and Mosharraf. They have been accused in two cases filed under the Arms Act and the Explosive Substance Act.
Dhaka Metropolitan Magistrate Moinul Islam passed the order and granted police seven-day remand in each of the cases.
The explosion took place around 7am on Wednesday when a weight-machine like object went off at the police station.
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Later in the morning, a three-member probe body was formed to investigate the explosion.
The trio was arrested during a raid in Mirpur's Kalshi area.