Explanation:

- Qutbuddin Aybak was the founder of the Mamluk Dynasty and ruled over Delhi from 1206 to 1210. He established the Sultanate after the fall of the Ghurid Empire.

- Option 1: 1266 to 1287 - These years correspond to the reign of Ghiyasuddin Balban, not Qutbuddin Aybak.

- Option 2: 1236 to 1240 - This period marks the reign of Razia Sultana, the first and only female ruler of Delhi Sultanate.

- Option 3: 1206 to 1210 - This is the correct duration of Qutbuddin Aybak's rule over Delhi.

- Option 4: 1210 to 1236 - This time frame is associated with the reigns of his successors from the Mamluk Dynasty, not Aybak himself.