The correct options are
B Rajputs had considerable autonomy in the regions they controlled under the Mughal rule.
D The ruler of Jodhpur was Ajit Singh.
Some Rajput kings worked under the Mughals. These kings served with distinction and hence, in exchange, they enjoyed considerable autonomy. For instance, the ruler of Jodhpur, Ajit Singh was involved in Mughal courts' factional politics. Rajputs exerted control over nearby regions from eighteenth century.