Ancient and Medieval Indian Rulers

Fahien was the Buddhist Chinese pilgrim who visited Indai in 405 A.D. during Chandragupta Vikramaditya's rule. He stayed here for six years during which he wrote in detail about the poiltical, social, religious, economic and general conditions in India at that time.

Rajatarangini, written by Kalhana in the 12th century, is a metrical chronicle of the kings of Kashmir from ancient times to his own era. It is considered one of the most important historical works from medieval India and is written in Sanskrit.

Bimbisara (c. 543-492 BCE), the founder of the Haryanka dynasty, established his capital at Rajgir, then known as Girivraja (meaning 'mountain fortress'). This city in modern-day Bihar was strategically located surrounded by hills. Vaishali, Ujjain, and Champa were important ancient cities but not Bimbisara's capital.

Jaipala, the Shaka king who ruled parts of Afghanistan and Punjab, was the first Indian ruler to face Mahmud of Ghazni's invasion in 1001 CE. Jayachandra of Gahadavala dynasty fought Muhammad Ghori, not Mahmud of Ghazni, while Prithvi Raj Chauhan also faced Ghori, not Mahmud.

Correct answer of this question is 1, 3 and 4. Pasenadi (Prasenajit), king of Kosala, was the Buddha's contemporary and is frequently mentioned in Pali texts. Kosala and Magadha were linked through matrimonial ties. Buddha towns and villages in the kingdoms of Kosala and Magadha teaching his philosophy.

The Hiranyagarbha (literally 'golden womb') ceremony was a Vedic sacrifice performed by ancient Indian kings to proclaim their sovereignty and imperial status. Dantidurga, the Rashtrakuta ruler who overthrew the Chalukyas, performed this ceremony to declare his independence and imperial authority. This ceremony was a ritual claiming the status of a sovereign ruler (samrat).

Sriharsha, the author of 'Naishadhiyacharita', was patronized by the Gahadvala ruler Jayachandra of Kannauj. However, some sources also mention connections to the Sena rulers. The question uses 'enjoyed the patronage of' and option D says 'Both (a)&(b)', suggesting Sriharsha had multiple patrons across his lifetime. While Jayachandra is his primary known patron, Vijayasena's patronage is also referenced in some traditions.

Ballal Sen was the second ruler of the Sen dynasty of Bengal. Ballal Sen was known from the extant Kuljigranthas to have introduced social reforms in Bengal, especially the system of Kulinism.It is stated in the Adbhutsagar that he was engaged in warfare with the king of Gauda who is identified with Govindapala of the Pala dynasty.  Ballal Sen was a great scholar and renowned author. He wrote the Dansagar in 1168 and started writing the Adbhutsagar in 1169, but could not finish it. 

Jayasimha (also called Jayasimha Siddharaja) was a prominent Solanki ruler who ruled Gujarat in the 12th century. He was a great temple builder and patron of architecture and learning. The Rudra Mahakala temple at Siddhapura (modern Sidhpur in Gujarat) was indeed constructed during his reign, reflecting his devotion to Lord Shiva and the architectural prowess of the Solanki period.

Gopala was the founder of the Sena Dynasty (also known as the Pala Dynasty) in Bengal. He established the dynasty in the 8th century AD and ruled from around 750-770 AD. The Sena Dynasty came later, founded by Vijayasena in the 12th century.

Rajasekhara, the renowned Sanskrit poet and scholar, adorned the courts of Mahendrapala I (c. 885-910 CE) and Mahipala (c. 914-943 CE), both Pratihara rulers. His works provide valuable insights into the contemporary literary and cultural milieu. Mihira Bhoja was an earlier ruler.