Paintings are an integral part of the ‘pol’ architecture in:

Ahmedabad
Bhavnagar
Patan
Bhuj

The correct answer is: Patan.

Patan is a city in Gujarat, India. It is the former capital of the Gujarat Sultanate and is known for its well-preserved medieval architecture. The city is home to a number of pols, which are traditional residential neighborhoods. Pols are characterized by their narrow streets, high walls, and inward-facing courtyards.

Paintings are an integral part of the pol architecture in Patan. The walls of the pols are often decorated with murals depicting scenes from Hindu mythology or everyday life. The paintings are a valuable source of information about the history and culture of Patan.

The other options are incorrect because they are not cities in Gujarat where paintings are an integral part of the pol architecture. Ahmedabad is the largest city in Gujarat and is known for its modern architecture. Bhavnagar is a port city on the Gulf of Kutch and is known for its temples and palaces. Bhuj is a city in the Kutch district of Gujarat and is known for its handicrafts and textiles.