Concept:
The Mughal emperors ruled India in the following historical order.
Step 1: Recall the succession of rulers.
\[
\boxed{\text{Babar} \rightarrow \text{Humayun} \rightarrow \text{Akbar} \rightarrow \text{Jahangir} \rightarrow \text{Shah Jahan} \rightarrow \text{Aurangzeb}}
\]
Step 2: Arrange the given rulers.
Among the given rulers, the correct chronological order is
\[
\boxed{\text{Babar} \rightarrow \text{Humayun} \rightarrow \text{Akbar} \rightarrow \text{Jahangir} \rightarrow \text{Aurangzeb}}
\]
which corresponds to
\[
\boxed{(ii),\ (v),\ (i),\ (iii),\ (iv).}
\]
Step 3: Final conclusion.
Hence, the correct answer is
\[
\boxed{\text{(A) }(ii),\ (v),\ (i),\ (iii),\ (iv).}
\]