The correct answer is E. Bjornstad syndrome 

Correct Answer Explanation

Bjornstad syndrome is associated with pili torti and deafness.

Incorrect Answer Explanation

Patients that have trichorrhexis nodosa have frayed ends resembing “broom-stick” or “paint-brush” hair. The following are associated with this condition: argininosuccinic aciduria, Menke’s kinky hair syndrome, Trichothiodystrophy, and Netherton syndrome.

References

Rudnicka L et al. Hair shafts in trichoscopy: clues for diagnosis of hair and scalp diseases. Dermatol Clin. 2013 Oct;31(4):695-708. PubMed Link: https://www.ncbi.nlm.nih.gov/pubmed/24075554.