Step 1: The barium swallow shows a posterior outpouching of the hypopharynx, which is Zenker's diverticulum, a pulsion (false) diverticulum.
Step 2: Zenker's diverticulum herniates through Killian's dehiscence, the weak area in the posterior pharyngeal wall between the thyropharyngeus and cricopharyngeus parts of the inferior constrictor. So option D is correct.
Step 3: It is seen in elderly patients and presents with dysphagia, regurgitation of undigested food, halitosis and a risk of aspiration and pneumonia. Management is endoscopic or surgical. The other anatomical gaps listed are not the site of Killian's dehiscence. Ref: Scott-Brown's Otorhinolaryngology, Vol 3, p.746.