The correct options are
B 1797
D 1792
The period when Raj Kaur and Diwan Lakhpat Rai administered the Sukerchakia after the death of Mahan Singh was known as the period of Triune Regency. This period unfolded between 1792 and 1797, till the death of Raj Kaur, after which Ranjit Singh took on the command of the Misl.