Telangana is known for its distinctive style of:

Carnatic music
Hindustani music
Qawwali
Folk music

The correct answer is D. Folk music.

Telangana is known for its distinctive style of folk music, which is characterized by its use of simple melodies and rhythms, and its often humorous or satirical lyrics. Telangana folk music is often performed at weddings, festivals, and other social gatherings.

Carnatic music is a classical music tradition that originated in southern India. It is characterized by its use of ragas (melodic frameworks), talas (rhythmic cycles), and instruments such as the veena and the mridangam.

Hindustani music is a classical music tradition that originated in northern India. It is characterized by its use of ragas (melodic frameworks), talas (rhythmic cycles), and instruments such as the sitar and the tabla.

Qawwali is a Sufi devotional music genre that originated in South Asia. It is characterized by its use of poetry, music, and dance to express religious devotion.