Statement I is incorrect. The Brahmi script is widely believed to be an indigenous development or derived from earlier Brahmi-like scripts. The Kharosthi script, used in northwestern India during the Mauryan period, is derived from Aramaic, which was used in the Achaemenid Empire, and its presence indicates Persian influence in that region, but the statement specifically mentions Brahmi. Statement II is correct. Accounts by Greek visitors like Megasthenes describe certain court ceremonies under Chandragupta Maurya, such as a hair-washing ceremony accompanied by gift-giving, which bear resemblance to practices in the Achaemenid Persian court, suggesting cultural exchange or influence. Statement III is correct. The monumental Ashokan pillars, particularly their polished surface and animal capitals (like the Sarnath lion capital), show stylistic similarities with Achaemenid Persian pillars (e.g., Persepolis) and architecture, suggesting Persian influence in royal sculpture and monumental art.