The correct answer is (a) Iltutmish.
Iltutmish was the second Sultan of the Delhi Sultanate. He ruled from 1211 to 1236 AD. Chengiz Khan was the founder and first Great Khan and Emperor of the Mongol Empire. He came to power by uniting many of the nomadic tribes of Northeast Asia. He launched the Mongol invasions that conquered most of Eurasia. Iltutmish and Chengiz Khan were contemporaries, and their empires were often at war. In 1221 AD, Chengiz Khan invaded the Khwarezmian Empire, which was located in Central Asia. The Khwarezmian Empire was ruled by Muhammad II, who was Iltutmish’s son-in-law. Muhammad II was defeated by Chengiz Khan, and his empire was destroyed. Iltutmish sent troops to help Muhammad II, but they were unable to stop the Mongol advance.
Razia was the first female ruler of the Delhi Sultanate. She ruled from 1236 to 1240 AD. Balban was the fifth Sultan of the Delhi Sultanate. He ruled from 1266 to 1287 AD. Alauddin Khalji was the sixth Sultan of the Delhi Sultanate. He ruled from 1296 to 1316 AD. None of these rulers were contemporaries of Chengiz Khan.