In a recent column published on October 12, 2026, mathematics puzzle editor Alex Bellos introduced a logical challenge inspired by the popular BBC series The Celebrity Traitors. The puzzle, contributed by longtime friend and author Daniel Griller, utilizes the concept of a circular seating arrangement to test readers’ deductive reasoning skills.
The scenario begins with three individuals seated at a round table, each facing inward. With no two participants sharing the same age, every person declares, “I am younger than the person to my left.” Bellos asks readers to determine the maximum and minimum number of individuals who could be telling the truth under these conditions.
The complexity increases with a second group of seven people at a different table. Each participant states, “I am younger than the person to my left, and I am younger than the person two places to my right.” The task is to identify the greatest and smallest possible count of truthful speakers within this larger circle.
The final and most difficult iteration involves 999 people. Each person claims, “I am younger than the person three places to my left, and older than the person three places to my right.” Readers are challenged to find the highest and lowest number of truth-tellers possible in this massive assembly.
Bellos noted that he would release the solutions at 5pm UK time on the same day, urging the audience to avoid posting spoilers in the comments and instead discuss the mechanics of round-table logic. The puzzle marks another entry in Bellos’s Monday puzzle series, which he has curated since 2015.
Griller, who authored the puzzle books Elastic Numbers and A Ring of Cats and Dogs, and Other Curious Puzzles, provided the problem for the column. Bellos also invited readers to submit their own puzzle ideas via email.
Solved it during my commute! The minimum for seven people is surprisingly low. Will check the 5pm reveal to confirm.
Can someone explain why the ‘three places left/right’ phrasing matters? Does it change the solution compared to adjacent seating?
Another classic Bellos gem. I love how these force you to think about ordering rather than just arithmetic.
I got stuck on part one. If everyone says they’re younger than their left neighbor, isn’t it impossible for even one person to tell the truth?
The 999-person riddle looks deceptively simple until you realize the cyclic constraints overlap in complex ways. Brilliant puzzle design.