The Chinese traveler Faxian (Fa-Hien) came to India during the reign of Chandragupta II (Vikramaditya).

Samudragupta's father Chandragupta I married the Licchavi princess Kumar Devi. Being born from this matrimonial alliance, Samudragupta was related to the Licchavis from his maternal side.

In the Gupta period, Gujarat, Bengal, Deccan, and Tamil Nadu were famous for textile production. The textile industry was the major industry of the Gupta period.

The library of Nalanda University was named 'Dharmaganj'. According to ancient Tibetan sources, the vast library of Nalanda had three large multi-storey buildings, 'Ratnasagar' (Ocean of Gems), 'Ratnodadhi' (Sea of Gems), and 'Ratnaranjak' (Decorated with Gems).

Berigaza (Greek name of Bharuch) was a narrow gulf where it was difficult for those coming from the sea to navigate.

In the Gupta period, there used to be a committee of merchants called 'Nigam/Shreni/Gan'. Its head was called 'Shreshthi' or 'Jyeshthak'.

Many examples of the calculation of Pi ($\pi$) are found in the history of ancient India. The Shulbasutras, Sanskrit texts of around 600 BC related to Shrauta rituals, contain geometric knowledge related to the construction of sacrificial altars. The oldest Baudhayana Shulbasutra states that the circumference of a pit is 3 times its diameter. At that time, no one knew that it would be known as Pi.

See the explanation of the above question. The language of Prayag Prashasti is Sanskrit.

Abhijnanashakuntalam is a love story between a king named Dushyanta and a young woman named Shakuntala. In this play, the mistreatment of a poor fisherman by royal officials is mentioned.

Kadambari was written by Banabhatta.

The correct chronological order of Gupta rulers is as follows: Sri Gupta (275-300 AD), Ghatotkacha Gupta (300-319 AD), Chandragupta I (319-335 AD), Samudragupta (335-375 AD), Chandragupta II (375-412 AD), Kumaragupta I (412-455 AD), Skandagupta (455-467 AD). Hence, option (4) is correct.

This eulogy (Prashasti) located on the pillar established by Ashoka at Kaushambi is currently present in the Allahabad Fort. In this, Samudragupta's court poet Harisena has described his military campaigns. It is the best example of Champu style (use of both prose and poetry). The language of this inscription is Sanskrit, and the script is Gupta-era Brahmi.

Devi Chandraguptam was written by Vishakhadatta. The other three books are written by Kalidasa.

Samudragupta is called Licchavi Dauhitra. In Samudragupta's Prayag inscription, he is described as 'Licchavi Dauhitra' (born of a Licchavi princess). Samudragupta's mother's name was Kumar Devi.

Panini was the greatest grammarian of the Sanskrit language. His grammar is named 'Ashtadhyayi', which contains eight chapters and nearly four thousand sutras (aphorisms).

The 'Panchatantra', authored by Vishnu Sharma, was translated into 15 Indian and 40 foreign languages.

Correct match:
(A) Bharavi - Kiratarjuniyam (4)
(B) Shudraka - Mrichchhakatikam (3)
(C) Vishakha Datta - Devichandraguptam (2)
(D) Vishnu Sharma - Panchatantra (1)
Hence, option (1) is correct.

In India, the 'game of Snakes and Ladders' was called 'Mokshapatam' or 'Param Padam'. It is believed that it was invented by the 13th-century saint Dnyaneshwar.

The author of Panchatantra is Vishnu Sharma.

In Prayag-Prashasti, there is mention of 5 Pratyanta states of Samudragupta, who accepted his rule: 1. Davaka (Dhaka and Tripura), 2. Kamarupa (Assam), 3. Samatata (Bengal), 4. Nepal, 5. Kartripur (Uttaranchal).