The correct answer is Option (4) → D, A, B, E, C
To arrange the authors of the Mughal rulers chronologically:
Gulbadan Begum (D) - She wrote during the reign of her brother, Emperor Humayun, and during the early part of Emperor Akbar's reign.
Abu'l Fazl (A) - He wrote during the reign of Emperor Akbar.
Abdul Hamid Lahori (B) - He wrote during the reign of Emperor Shah Jahan.
Muhammad Waris (E) - He wrote during the reign of Emperor Shah Jahan.
Muhammad Kazim (C) - He wrote during the reign of Emperor Aurangzeb.
Timeline of major literary works in the Mughal period:
c.1587 : Gulbadan Begum begins to write the Humayun Nama
1589 : Babur’s memoirs translated into Persian as Babur Nama
1589-1602 : Abu’l Fazl works on the Akbar Nama
1605-22 : Jahangir writes his memoirs, the Jahangir Nama
1639-47 : Lahori composes the first two daftars of the Badshah Nama
c.1650 : Muhammad Waris begins to chronicle the third decade of Shah Jahan’s reign
1668 : Alamgir Nama, a history of the first ten years of Aurangzeb’s reign compiled by Muhammmad Kazim | 
