Baharam shah -1240
allahuddin masud sah-1242
balaban-1266
nasiruddin mahmud- 1394

The correct chronological order of the rulers of the Slave Dynasty is as follows:

1. Qutb-ud-din Aibak
2. Aram Shah
3. Shams-ud-din Iltutmish
4. Rukn-ud-din Firuz
5. Raziya Sultan
6. Muiz-ud-din Bahram Shah
7. Nasir-ud-din Mahmud
8. Balban
9. Alauddin Masud Shah

Let's understand the chronological order of these rulers in detail:

1. Qutb-ud-din Aibak: He was the founder of the Slave Dynasty and ruled from 1206 to 1210. He was a trusted general of Muhammad Ghori and after Ghori's death, Aibak established himself as the ruler of Delhi.

2. Aram Shah: He succeeded Qutb-ud-din Aibak as the second ruler of the Slave Dynasty. However, his reign was short-lived and he was overthrown by Shams-ud-din Iltutmish.

3. Shams-ud-din Iltutmish: He was the third ruler of the Slave Dynasty and ruled from 1210 to 1236. Iltutmish consolidated the power of the dynasty and established a strong central administration. He also introduced the silver tanka as the currency of Delhi Sultanate.

4. Rukn-ud-din Firuz: He was the son of Iltutmish and became the fourth ruler of the Slave Dynasty. However, his reign was marked by instability and internal conflicts, and he was eventually deposed by his mother, Shah Turkan.

5. Raziya Sultan: She was the daughter of Iltutmish and the first and only female ruler of the Delhi Sultanate. Raziya Sultan ruled from 1236 to 1240 and faced many challenges to her authority due to gender biases. She was eventually dethroned and killed in a rebellion.

6. Muiz-ud-din Bahram Shah: He succeeded Raziya Sultan as the sixth ruler of the Slave Dynasty. His reign was marked by weak administration and constant conflicts with nobles. He was eventually overthrown by Nasir-ud-din Mahmud.

7. Nasir-ud-din Mahmud: He became the seventh ruler of the Slave Dynasty after overthrowing Bahram Shah. His reign was relatively short and he faced several challenges from rebellious nobles. He was eventually killed in a conspiracy.

8. Balban: He was a noble of the Slave Dynasty and became the eighth ruler after the death of Nasir-ud-din Mahmud. Balban brought stability and strong administration to the kingdom. He is known for his strict policies and efforts to centralize power.

9. Alauddin Masud Shah: He was the last ruler of the Slave Dynasty. His reign was marked by weak leadership and continuous rebellions. He was eventually overthrown by Jalal-ud-din Khilji, who established the Khilji Dynasty.

In conclusion, the correct chronological order of the rulers of the Slave Dynasty is: Qutb-ud-din Aibak, Aram Shah, Shams-ud-din Iltutmish, Rukn-ud-din Firuz, Raziya Sultan, Muiz-ud-din Bahram Shah