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The correct answer is option 2, Iltutmish. Option 1, Qutub-ud-din Aibak is incorrect as he actually started the construction of the Qutub Minar but did not live to see it completed. Option 3, Firoz Shah Tughlaq is also incorrect as he made restorations to the minar during his reign but did not complete its construction. Option 4, Alauddin Khilji is also incorrect as he did not have any involvement in the construction of the Qutub Minar.
Iltutmish, the third ruler of the Delhi Sultanate, is credited with completing the construction of the Qutub Minar. He added three more stories to the existing structure, bringing it to its current height of about 73 meters. Iltutmish was known for his architectural contributions and the Qutub Minar is considered a marvel of Indo-Islamic architecture.