To understand which methods are prescribed under Chapter VI of the UN Charter for the peaceful settlement of international disputes, it is crucial to identify the nature of each option:
- Judicial Settlement: This refers to resolving disputes through legal means, typically involving international courts such as the International Court of Justice. It is a peaceful method supported by Chapter VI.
- Enquiry: This involves investigating the facts surrounding a dispute. It helps in clarifying issues and guiding peaceful resolutions, aligning with the principles of Chapter VI.
Conversely, options I and II, namely:
- Hostile blockade: This is a method involving military enforcement to restrict access or exert pressure. It is not a peaceful resolution method.
- Economic sanctions: These are restrictive measures meant to pressure a state. While non-violent, they are typically associated with Chapter VII concerning threats to peace, breaches of the peace, and acts of aggression.
Therefore, the correct methods under Chapter VI are Judicial Settlement and Enquiry. Hence, the correct answer is:
III and IV