Statement–Courses of Action (illegal arms diversion from state armoury): Revelations suggest at least two senior police officials may be involved in illegal sale of a large quantity of weapons from the state police armoury; decide which response(s) logically follow—(I) order a thorough State Government investigation to identify all involved, (II) place the state police armoury under Central Government control—judging consistency with the stated problem.

Given data

• Allegation: Illegal sale of weapons from a state armoury with suspected involvement of senior officers.
• Course I: Order a thorough investigation to uncover all participants.
• Course II: Shift control of the state armoury to the Central Government.

Concept / Approach
A valid course should directly address the wrongdoing alleged—fact-finding and accountability—without introducing structural changes not implied by evidence.

Step-by-step evaluation
Step 1: Course I targets the core need (identify culprits, recover weapons, fix controls) and therefore follows.Step 2: Course II proposes an immediate jurisdictional overhaul; this is not logically necessitated by the allegation and is outside the statement's scope.

Verification / Alternative
Post-inquiry, if systemic lapses are proven, reforms may follow; but they do not follow at this stage from the statement alone.

Common pitfalls

• Assuming centralization automatically fixes local malfeasance without evidence.

Final Answer
Only I follows.