Which of the following statements correctly differentiates the power of the Rajya Sabha from the Lok Sabha?

The correct option is: Rajya Sabha can authorise Parliament to make laws on State subjects.

Let us analyze the constitutional powers of the Rajya Sabha (Council of States) in comparison to the Lok Sabha (House of the People) to understand this distinction:

1. Exclusive Power under Article 249:
Under Article 249 of the Indian Constitution, if the Rajya Sabha passes a resolution supported by not less than two-thirds of the members present and voting declaring that it is necessary or expedient in the national interest that Parliament should make laws with respect to any matter enumerated in the State List, Parliament gets the power to legislate on that subject. This is a special power exclusive to the Rajya Sabha, emphasizing its role as the representative body of the States.

2. Analysis of the Other Options:
- Motion of No-Confidence: A motion of no-confidence against the Council of Ministers can only be introduced and passed in the Lok Sabha (Article 75(3)). The Rajya Sabha cannot initiate or pass a no-confidence motion.
- Money Bills: Money Bills can only be introduced in the Lok Sabha (Article 109). The Rajya Sabha cannot reject or amend a Money Bill; it can only make recommendations which the Lok Sabha may accept or reject.
- Financial Matters: The Lok Sabha enjoys special/overriding powers in financial matters (like Money Bills and the Annual Financial Statement/Budget demands). Thus, powers are not equal in all financial matters.

Therefore, the statement that correctly differentiates a special power of the Rajya Sabha from the Lok Sabha is that the Rajya Sabha can authorise Parliament to make laws on State subjects.