Correct Option (A):
The statement "In the Lok Sabha, a no-confidence motion has to set out the grounds on which it is based" is not correct. Rule 198 of the Rules of Procedure and Conduct of Business in Lok Sabha, which governs no-confidence motions, does not require the grounds for the motion to be specified. The motion simply states, "This House expresses its want of confidence in the Council of Ministers." The only prerequisite for its admissibility is the support of at least 50 members.
Incorrect Options:
Option (2): The statement "In the case of a no-confidence motion in Lok Sabha, no conditions of admissibility have been laid down in the Rules" is largely correct. Rule 198 primarily specifies the procedural requirement of securing the support of 50 members for the motion to be admitted, rather than detailing extensive conditions for its substance or grounds.
Option (3): The statement "A motion of no-confidence once admitted, has to be taken up within ten days of the leave being granted" is correct. As per the Lok Sabha Rules, once leave to move a no-confidence motion is granted, the discussion on the motion must commence within ten days. This ensures timely consideration of the motion.
Option (4): The statement "Rajya Sabha is not empowered to entertain a motion of no-confidence" is correct. Article 75(3) of the Constitution of India stipulates that the Council of Ministers shall be collectively responsible to the House of the People (Lok Sabha). Consequently, a motion of no-confidence, which seeks to remove the Council of Ministers, can only be introduced and debated in the Lok Sabha, not the Rajya Sabha.