**Core Concept**
Murder is classified under the Indian Penal Code (IPC) as a serious offence that is punishable by law. The legal classification of an offence is crucial in determining the powers of the police, the court's jurisdiction, and the rights of the accused.

**Why the Correct Answer is Right**
Murder is a **cognizable offence**, which means the police have the authority to arrest a person without a warrant. This is because murder is a serious crime that requires immediate action. Additionally, murder is a **non-compoundable offence**, which means it cannot be settled out of court by the parties involved. This is because the law considers murder a grave violation of human rights, and the victim's family or next of kin has the right to seek justice in a court of law. Finally, murder is a **non-bailable offence**, which means the accused cannot be released on bail until they are formally charged and the court has had an opportunity to examine the evidence.

**Why Each Wrong Option is Incorrect**
**Option B:** Murder cannot be **compoundable** because it is a serious crime that requires a court trial. Compoundable offences can be settled out of court, which is not suitable for a crime as grave as murder.

**Option C:** Murder is a **cognizable offence**, not a non-cognizable one, as the police have the authority to arrest a person without a warrant.

**Option D:** Murder is a **non-compoundable and non-bailable offence**, not compoundable and bailable, as explained earlier.

**Clinical Pearl / High-Yield Fact**
In forensic medicine, the classification of an offence is crucial in determining the investigation, trial, and punishment. It is essential for medical professionals to understand the legal implications of their findings and reports.

**✓ Correct Answer: A. Cognizable, non-compoundable and non-bailable**