Explanation:

- Qutub-ud-din Aibak founded the Slave Dynasty: He was a former slave who became a Sultan of Delhi and laid the foundation of the Delhi Sultanate.

- Tughluq Dynasty: This was founded by Ghiyas ud din Tughluq, not related to Qutub-ud-din Aibak or the Slave Dynasty.

- Sayyid Dynasty: It was established by Khizr Khan after the decline of the Tughluq Dynasty. Again, not related to Qutub-ud-din Aibak.

- Khilji Dynasty: Founded by Jalal ud din Firuz Khilji, unrelated to Qutub-ud-din Aibak and the Slave Dynasty.

- Correct Answer is Option: 4 - Slave Dynasty