Listen to our weekly radio puzzle!

The puzzle is updated on Mondays.

Puzzle 684, week of June 15, 2026
Both my father and my step father are mathematicians so for Father’s Day I’ve brought you a logic puzzle dedicated to all mathematical dads. This is a variation on the classic Truth Teller and Liar puzzle. A group of 20 villagers is sitting in a circle. Each of them always lies or always tells the truth. You ask them to tell you whether the person next to them is a liar. After they answer you know how many truth tellers are in the circle. How many are there?

Submit your answers here with the subject  line “puzzle answer” for a chance to be this week’s winner. (No prize – just a shout out on the radio.)

The Point Puzzle is produced at KPOV, High Desert Community Radio, in Bend Oregon. It is heard on radio stations around the US, distributed through Audioport and PRX.

Want more puzzles?
Click here for the text of some past point puzzles.

The Point Puzzle is produced at KPOV in Bend Oregon, but it is also carried on stations around the country.
Stations include:
Alaska:
KEUL, Girdwood Alaska
Arkansas::
KPSQ, Fayetteville Arkansas
California:
KKRN, Round Mountain California
Colorado:
KRZA, Alamosa Colorado
Connecticut:
WESU, Middletown Connecticut
Florida:
Wings Radio 1, Lake Placid Florida
Radio St Pete, St Petersburg Florida
Idaho:
KRFY, Sandpoint Idaho
Illinois:
WAZU, Peoria Illinois
Massachusetts:
WUMD, Dartmouth Massachusetts
Michigan:
WPRR, Grand Rapids Michigan
Minnesota:
KTWH, Two Harbors Minnesota
Missouri:
KZGM, Cabool Missouri
New York:
Global Community Radio, Geneva New York
Oregon:
KBOO, Portland Oregon
KPOV, Bend Oregon
KSHD, Shady Cove, Oregon
KSKQ, Ashland Oregon (monthly)
KYAQ, Lincoln County Oregon
Pennsylvania:
WLRI, Christiana, Pennsylvania
Tennessee:
WUTC, Chattanooga, Tennessee
Vermont:
WOOL, Bellows Falls, Vermont
Virginia:
WRIR, Richmond, Virginia
Washington:
KSER, Everett Washington
KVGD, Goldendale Washington

If your station would like to carry the Point Puzzle, contact the Point Puzzle.
The Point Puzzle is distributed through PRX and Audioport.
If your station is not a member of PRX or Audiport, please contact the Point Puzzle to discuss other arrangements.

Sample the Point Puzzle here:

Point Puzzle #131 – the week of Nov 9, 2015