Correct option is A
Information Booster:
Statement (a) Mosques were built by Iltutmish in Nagaur, Pallavan and Hansi - True.Iltutmish, a prominent ruler of the Delhi Sultanate, is known to have commissioned mosques in several towns including Nagaur, Hansi, and Pillalhar (not Pallavan).So despite the likely typo “Pallavan,” if it's referring to Pillalhar (near Ajmer) or a similar early site, the overall statement is considered true in historical context.
Statement (b) Tomb of Iltutmish is made of red stone - True.The Tomb of Iltutmish, located in the Qutub complex in Delhi, was built in 1235 CE and is primarily constructed using red sandstone with intricate carvings and Islamic inscriptions.