The correct option is D Badrinath, Dwarka, Jagannathpuri, and Shringeri.
Adi Shankaracharya lived during the eighth centurty CE. He emphasised knowledge and renunciation. He wrote commentaries explaining the Upanishads, Brahmasutras, and the Bhagavad Gita. He established four mutts in the four directions. The mutts are located in Badrinath, Dwarka, Jagannathpuri, and Shringeri.