Consider the following : I. Tughlaquabad Fort. II. Lodi Garden. III. Qutub Minar. IV. Fatehpur Sikri. The correct chronological order in which they were built is :

Qutb Minar is the earliest of the four, begun under Qutb-ud-din Aibak and completed/expanded by Iltutmish in the early 13th century, with later repairs by Tughlaq and Lodi rulers [2]. Tughlaqabad Fort was founded by Ghiyasuddin Tughlaq as the Tughlaq capital in the early 14th century, placing it after the Qutb complex [3]. The monuments in Lodi Gardens (tombs and structures of the Lodi dynasty) belong to the late 15th–early 16th century Lodi phase, hence come after Tughlaq constructions [2]. Fatehpur Sikri is a late 16th-century Mughal foundation under Akbar, making it the most recent of the four. Therefore the chronological sequence is III, I, II, IV (option 2).

Sources

1. [2] https://asi.nic.in/pages/WorldHeritageQutbMinar
2. [1] History , class XI (Tamilnadu state board 2024 ed.) > Chapter 10: Advent of Arabs and Turks > Architecture > p. 152
3. [3] History , class XI (Tamilnadu state board 2024 ed.) > Chapter 10: Advent of Arabs and Turks > Timur's Invasion > p. 147