Concept:
Chronological arrangement questions are solved by identifying the historical period in which each monument was constructed. Indo-Islamic architecture evolved through:
• Delhi Sultanate architecture,
• Mughal architecture,
• Later Nawabi architecture.
Understanding the historical timeline of important monuments helps in arranging them correctly.
Step 1: Finding the construction period of Qutub Minar.
Qutub Minar in Delhi was started by:
\[
\text{Qutb-ud-din Aibak}
\]
around:
\[
1199 \text{ CE}
\]
It belongs to the:
• Early Delhi Sultanate period,
• Slave Dynasty architecture.
Thus, it is the earliest among the given structures.
Step 2: Finding the construction period of Humayun's Tomb.
Humayun's Tomb in Delhi was built during:
\[
1565\text{--}1572 \text{ CE}
\]
It was commissioned by:
\[
\text{Hamida Banu Begum}
\]
in memory of Mughal emperor Humayun.
This monument belongs to early Mughal architecture.
Hence, it comes after Qutub Minar.
Step 3: Finding the construction period of Taj Mahal.
The Taj Mahal at Agra was built during the reign of:
\[
\text{Shah Jahan}
\]
Construction started around:
\[
1632 \text{ CE}
\]
It represents the peak of Mughal architectural excellence.
Therefore, it comes after Humayun's Tomb.
Step 4: Finding the construction period of Bada Imambara.
Bada Imambara in Lucknow was built by:
\[
\text{Nawab Asaf-ud-Daula}
\]
around:
\[
1784 \text{ CE}
\]
It belongs to the Nawabi period of Awadh and is the latest among the given structures.
Step 5: Arranging all structures chronologically.
Thus, the correct chronological order becomes:
\[
\text{Qutub Minar} \rightarrow \text{Humayun's Tomb} \rightarrow \text{Taj Mahal} \rightarrow \text{Bada Imambara}
\]
That is:
\[
\boxed{A, B, C, D}
\]