The British were highly pleased with the military activities of which Princely State during the 1857 revolt?

The correct answer is: Bikaner.

The British were highly pleased with the military activities of the Maharaja of Bikaner, Ganga Singh, during the 1857 revolt. Ganga Singh was a loyal ally of the British and his troops played a key role in suppressing the revolt. He was rewarded for his services with a number of titles and honors, including the Order of the Star of India.

The other options are incorrect because:

• Patiala: The Maharaja of Patiala, Bhupinder Singh, was initially sympathetic to the rebels, but he later switched sides and supported the British.
• Jind: The Maharaja of Jind, Duleep Singh, was also initially sympathetic to the rebels, but he later switched sides and supported the British.
• Pataudi: The Nawab of Pataudi, Muhammad Ali Khan, was a rebel leader during the 1857 revolt. He was captured by the British and exiled to Burma.