Assertion (A) : The Council of Ministers in the Union of India is collectively responsible both to the Lok Sabha and the Rajya Sabha. Reason (R) : The Members of both the Lok Sabha and the Rajya Sabha are eligible to be the Ministers of the Union Government.

Assertion (A) is incorrect because the Constitution and authoritative texts state that the Council of Ministers is collectively responsible to the Lok Sabha (Article 75) — they ‘swim or sink together’ before the House of the People [2]. While some sources note responsibility to Parliament in general, the operative constitutional practice centers on the Lok Sabha [2]. The Reason (R) is correct: members of either House of Parliament may be appointed as Union Ministers, and a non-member can also be appointed provided they become a member of either House within six months (constitutional practice). Thus R is true but does not justify A, so A is false while R is true.

Sources

1. [1] Indian Polity, M. Laxmikanth(7th ed.) > Chapter 21: Central Council of Ministers > Collective Responsibility > p. 215
2. [2] Indian Polity, M. Laxmikanth(7th ed.) > Chapter 13: Parliamentary System > DEMERITS OF THE PARLIAMENTARY SYSTEM > p. 133