The correct answer is: D. Feroz Shah Tughlaq.
Lat Ki Masjid is a mosque located in Hisar, India. It was built by Feroz Shah Tughlaq, the third Sultan of the Tughlaq dynasty, in the 14th century. The mosque is known for its intricate architecture and its use of red sandstone. It is one of the most important historical monuments in Hisar.
Shah Shuja was the son of Timur and the ruler of the Timurid Empire from 1405 to 1447. He was not the ruler of Hisar, and there is no evidence that he built any mosques there.
Babur was the founder of the Mughal Empire. He was not the ruler of Hisar, and there is no evidence that he built any mosques there.
Muhammad bin Tughlaq was the second Sultan of the Tughlaq dynasty. He was the ruler of Hisar from 1324 to 1325. However, there is no evidence that he built Lat Ki Masjid.
Feroz Shah Tughlaq was the third Sultan of the Tughlaq dynasty. He was the ruler of Hisar from 1351 to 1388. He is known for his patronage of architecture and for building many mosques, including Lat Ki Masjid.