The one-judge bench of justice Rumi Kumari Phukan rejected the bail plea of Sandeep Sarma, Kushal Das, Devraj Das, Tarinikanta Banikya and Ankujit Baruah.
The Assam government cancelled a written exam to recruit 597 sub-inspectors to the state police force after the question paper had been leaked.
The SI recruitment exam is scheduled to be held on November 22.
Over 50 people, including former deputy inspector general of police P.K. Dutta and BJP leader Diban Deka, have been arrested by the CID and crime branch in connection with the scam.