Concept:
To arrange medieval structures chronologically, we identify the dynasties and rulers connected with them.
Step 1: Earliest structure.
Quwwat-ul-Islam Mosque at Delhi belongs to the early Delhi Sultanate period.
So, the first is:
\[
D = \text{Quwwat-ul-Islam Mosque}
\]
Step 2: Place Jaunpur Jama Mosque.
Jaunpur Jama Mosque belongs to the Sharqi architectural tradition of the fifteenth century.
So, the second is:
\[
C = \text{Jaunpur Jama Mosque}
\]
Step 3: Place Humayun Tomb.
Humayun Tomb belongs to the early Mughal period.
So, the third is:
\[
A = \text{Humayun Tomb}
\]
Step 4: Place Fatehpur Sikri.
Fatehpur Sikri was built during Akbar's reign.
So, the fourth is:
\[
E = \text{Fatehpur Sikri}
\]
Step 5: Place Moti Masjid.
Moti Masjid in the Red Fort is associated with a later Mughal phase.
So, the last is:
\[
B = \text{Moti Masjid, Red Fort, Delhi}
\]
Therefore, the correct sequence is:
\[
D \rightarrow C \rightarrow A \rightarrow E \rightarrow B
\]
Hence, the correct answer is:
\[
\boxed{\text{(A) D, C, A, E, B}}
\]