Explanation:

The construction of the Qutub Minar, a UNESCO World Heritage Site, was initiated by Qutub-ud-din Aibak (Option A), the founder of the Delhi Sultanate and the Mamluk dynasty, in 1192. He built the first story. His successor and son-in-law, Iltutmish (Option B), completed the next three stories. Later, Feroz Shah Tughlak (Option C) repaired and added the fifth and final story after it was damaged by lightning. Sikandar Lodi (Option D) also undertook some repairs.