Step 1: Understanding the Question.
A cognizable offence is one in which the police officer has the authority to arrest without a warrant and initiate investigation without the permission of a magistrate.
Step 2: Analysis of Options.
- (A) Non-cognizable offence: These offences do not permit police to arrest without a warrant.
- (B) Cognizable offence: This is the correct answer, as cognizable offences allow arrest without a warrant.
- (C) Bailable offence: This refers to the ability of the accused to secure bail, not the authority to arrest without a warrant.
- (D) None of these: This is incorrect, as cognizable offences allow arrest without a warrant.
Step 3: Conclusion.
Thus, the correct answer is (B) Cognizable offence.