The evidence points to option D, It was begun under Qutbuddin Aibak near the Qutub Minar. The Quwwat-ul-Islam mosque was begun by Qutbuddin Aibak in the Qutub complex and enlarged by later rulers, notably Iltutmish and Alauddin Khalji. The distractors need separate rejection: It was built by Shah Jahan inside the Red Fort belongs to a different institution, context or chronology; It was a Vijayanagara royal temple does not perform the function described in the stem; and It was founded by the Bahmani wazir Mahmud Gawan fails the required association. The wording of “Which statement correctly describes the Quwwat-ul-Islam mosque complex?” is deliberately specific, so the candidate should isolate its operative clue before recalling names. — It was begun under Qutbuddin Aibak near the Qutub Minar”, but also remember the factual reason stated above.