Which of the following Princely state's ruler, first of all announced that the state had decided on Independence after the lapse of British paramountcy?

Travancore

The correct answer is Option (3) → Travancore

Just before Independence it was announced by the British that with the end of their rule over India, paramountcy of the British crown over Princely States would also lapse. This meant that all these states, as many as 565 in all, would become legally independent. The British government took the view that all these states were free to join either India or Pakistan or remain independent if they so wished. This decision was left not to the people but to the princely rulers of these states. This was a very serious problem and could threaten the very existence of a united India. The problems started very soon. First of all, the ruler of Travancore announced that the state had decided on Independence.

The Nizam of Hyderabad made a similar announcement the next day. Rulers like the Nawab of Bhopal were averse to joining the Constituent Assembly. This response of the rulers of the Princely States meant that after Independence there was a very real possibility that India would get further divided into a number of small countries.