Logic and sets · Truth tellers and liars · Circular arrangements · Self referential statements
At a round table sit \(2014\) people. Each of them either always tells the truth or always lies. Every single person at the table said the following sentence:
"Apart from me and my two immediate neighbours, on my left and on my right, everybody else at this table always lies."
How many people at the table always tell the truth?
Sign in to check answers, open hints, read the full solution, and track your progress. Statements are always free.
Serbian Municipal Competition 2015, high school grade I, category A, problem 5. Organized by the Mathematical Society of Serbia (DMS). Source