Both the Ottoman and Mughal empires

a / absorbed religious influences

B / forced non Muslims to convert to Islam

C / offered high positions to Hindus and Sikhs

D / rules their territories until the early 1900s

a) absorbed religious influences.

Explanation:

Both the Ottoman and Mughal empires have acquired vast territories and new boundaries. Integrating a vast territorial region was not an easy task because it consists of different cultures, ethnicity, religion, etc. Therefore they absorbed religious influences from local elements as it gives more stability to their empires. Large empires need the flexibility and support of local people to work efficiently and stand for a long period.