Explanation
Why Correct: The East India Company established its first factory at Surat in 1613 during the reign of Mughal Emperor Jahangir (1605–1627), who granted trading rights through a farman.
Distractor Analysis: Shahjahan ruled from 1628 to 1658, after the Surat factory was already established. Aurangzeb ruled from 1658 to 1707, decades after the initial factory. Bahadur Shah I ruled from 1707 to 1712, nearly a century after the Surat factory.
Takeaway: The Company's second major factory was established at Madras (Fort St. George) in 1639, followed by Bombay in 1668 and Calcutta in 1690, marking the gradual expansion of British territorial control.