For Dictatorship, the second answer is incomplete, a dictator may obtain power not only through elections but by a military or institutional coup d'état, a civil war or a military intervention by a foreign power.
In a republic, power is held by those citizens that are able and government is a public matter (res publica in latin) to vote and the power comes from their vote during elections.
The following statement is true
A) The common name for the British Indian Empire was the "British Raj''
Derived from local languages, Raja meant King and Raj was meant to denote a Kingdom. After the British East India company gave the control of the country over the to British Throne, the area was then known as British Raj, or the Dominion of the British.
The British were the first power in history to consolidate power in as as far flung places as Aden in Yemen to Ragoon in Burma and develop a single government system around it calling it the British Raj.
The First capital was in Calcutta but it was later moved to Delhi in the West.
Sorry I do not know the answer.