Why do authoritarian regimes sometimes create some form of election?

Which of the following explains the reason for the reduction of Hindu–Muslim strife in India as it had in the colonial period?

A. the view of religion as a legitimate identity in politics made by the British colonial empire B. the inability of the Hindu nationalist Bharatiya Janata Party (BJP) to head the nation C. the establishment of alliances such as the UPA alliance headed by Congress and the NDA backed by the BJP D. the establishment of the central Election Commission that is charged with ensuring clean and fair elections E. the view of religion as an illegitimate political identity made by Nehru and other leaders

In the process of setting agendas, the government is in fact

A. deciding who is going to rule. B. engaging in the process of political recruitment. C. deciding on "tied" versus "untied" aid. D. prioritizing some issues and choosing to not deal with others.