The correct answer is (a) Gulbadan Begam.
Gulbadan Begam was the eldest daughter of Babur, the founder of the Mughal Empire. She was a well-educated woman and wrote a memoir of her father’s life, entitled “Humayun Nama”. She also established a madrasah, or Islamic school, in Delhi called Madrasah-i-Begam.
Maham Anaga was a wet nurse to Akbar, the third Mughal emperor. She was a powerful figure in Akbar’s court and played a significant role in his early education. However, she is not known to have established any educational institutions.
Zia-un-nisa was the daughter of Akbar and one of his wives, Mariam-uz-Zamani. She was a well-educated woman and wrote a book on medicine called “Haft Iqlim”. However, she is not known to have established any educational institutions.
Zinat-un-nisa was the daughter of Jahangir, the fourth Mughal emperor. She was a poet and writer and is known for her collection of poems called “Diwan-i-Zinat”. However, she is not known to have established any educational institutions.