IKMC 2027 - Grades 7-8 - Self-study SET 3 - Thematic Batch 3 Question 1

An ant stands at each vertex of a cube. Each ant either always tells the truth or always lies. More than half of the ants are liars. Two ants are neighbours when their vertices share an edge. Every ant says: “All three ants next to me are liars.” Exactly how many ants are liars?

Editorial note: The source’s Vietnamese typographical variants all refer to ants.