The correct option is 2 and 3 only because of the accurate historical context surrounding European colonial activities in India. Statement 2 is correct as Alfonso de Albuquerque indeed captured Goa from the Bijapur Sultanate in 1510, marking a significant expansion of Portuguese influence in India. Statement 3 is also accurate; the English East India Company established its first factory at Madras in 1639 on land leased from a representative of the Vijayanagara Empire, which signaled the beginning of English territorial expansion in South India. In contrast, statement 1 is incorrect; while the Dutch were active in India, their primary trading centers were in the Coromandel Coast and not specifically due to grants from Gajapati rulers, who were more associated with the Odisha region. This awareness of specific historical accounts enhances one's understanding of the dynamics of colonial interactions in India, essential for UPSC civil services examination preparation.