Correct Option (d)
Assertion (A) states that the Council of Ministers is collectively responsible to both the Lok Sabha and Rajya Sabha. This is incorrect. Article 75(3) of the Indian Constitution clearly specifies that the Council of Ministers shall be collectively responsible to the House of the People (Lok Sabha) only. The Rajya Sabha does not possess the power to remove the Council of Ministers through a no-confidence motion, unlike the Lok Sabha. Therefore, Assertion (A) is false.
Reason (R) states that members of both the Lok Sabha and the Rajya Sabha are eligible to be Ministers of the Union Government. This is correct. Article 75(5) of the Constitution provides that a Minister who is not a member of either House of Parliament for any period of six consecutive months shall cease to be a Minister. This implies that membership of either House (Lok Sabha or Rajya Sabha) qualifies an individual to be appointed as a Minister. Several Union Ministers, including former Prime Ministers, have been members of the Rajya Sabha. Therefore, Reason (R) is true.
Since Assertion (A) is false and Reason (R) is true, option (d) is the correct answer.
Incorrect Options
Options (a) and (b) are incorrect because Assertion (A) is false, as the Council of Ministers is collectively responsible only to the Lok Sabha, not to both Houses.
Option (c) is incorrect because Reason (R) is true, as members from both Lok Sabha and Rajya Sabha are eligible to be Ministers.