Which Muslim Ruler was attracted by the beauty of Queen Padmavati?

Alauddin Khilji

The correct answer is Option 4 - Alauddin Khilji

The Muslim ruler who was attracted by the beauty of Queen Padmavati was Alauddin Khilji. He was the Sultan of Delhi from 1296 to 1316.

Padmavati was the wife of Ratan Singh, the king of Mewar. She was legendary for her beauty and intelligence. Alauddin Khilji had heard about her beauty and wanted to see her for himself. He invaded Mewar and defeated Ratan Singh. Padmavati committed suicide to avoid being captured by Alauddin Khilji.

There is no historical evidence to support the claim that Alauddin Khilji ever met Padmavati. However, the story of their attraction is a popular legend in India.

The other rulers mentioned in the question, Iltutmish, Mohammad Ghori, and Balban, did not live at the same time as Padmavati. Therefore, they could not have been attracted to her beauty.