Option 1 -> (A), (C), (D), (B): Bahmani Kingdom (1347), Gajapati Kingdom (1434), Golconda Sultanate (1518), Mughal Empire (1526) - correct chronological sequence.
Option 2 -> (A), (B), (D), (C): Places Mughal Empire (1526) before Golconda Sultanate (1518) and Gajapati Kingdom (1434) - incorrect order.
Option 3 -> (B), (A), (D), (C): Places Mughal Empire (1526) first, which is the most recent event - completely wrong sequence.
Option 4 -> (C), (D), (B), (A): Reverses the order by placing Bahmani Kingdom (1347) last instead of first - incorrect.
Hence, Option 1 -> The Bahmani Kingdom was established in 1347 CE in the Deccan, followed by the Gajapati Kingdom in Odisha around 1434 CE. The Sultanate of Golconda emerged in 1518 CE as one of the successor states after the Bahmani Kingdom's fragmentation, and finally, Babur established the Mughal Empire in 1526 CE after the First Battle of Panipat -> correct