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According to the question, we need to identify the incorrect pair out of the given options.
Option 1 pairs Babar with Sangram Singh. This is a valid pairing, as Babar was a Mughal emperor and Sangram Singh was a Rajput king who opposed Mughal rule.
Option 2 pairs Sher Shah with Humayun. This is also a valid pairing, as Sher Shah was a powerful ruler who defeated Humayun and briefly took control of the Mughal Empire.
Option 3 pairs Chengiz Khan with Alauddin Khilji. This is incorrect because Chengiz Khan was the founder of the Mongol Empire, while Alauddin Khilji was a ruler of the Delhi Sultanate. They did not exist during the same time period.
Option 4 pairs Akbar with Hemu. This is a valid pairing, as Akbar, the Mughal emperor, fought against Hemu, the Hindu ruler of Delhi.
Therefore, option 3 is the incorrect pair. Alert - The correct answer should be option 3.