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Quantum CyberTeaser: May/June 1996


B172

Counting liars. The population of the island of Pianosa is 100. Some of the inhabitants always lie, the others always tell the truth. Each islander worships one of three gods: the Sun god, the Moon god, or the Earth god. One day a visiting anthropologist asked each inhabitant the following questions:

  1. Do you worship the Sun god?
  2. Do you worship the Moon god?
  3. Do you worship the Earth god?

There were 60 “yes” answers to the first question, 40 “yes” answers to the second question, and 30 “yes” answers to the third. How many liars live on the island?
[F. Nazarov]

Solution


The winners:

  • Oleg Shpyrko (Rochester, New York)
  • Xi-an Li (Middlebury, Vermont)
  • Sabrina Sowers (Baltimore, Maryland)
  • Matthew Wong (Edmonton, Alberta)
  • Maeline Krig (Minnesota)
  • Anna Domnich (Holbrook, New York)
  • Amy Forster (Cygnet, Australia)
  • Marc Oliver Rieger (Konstanz, Germany)
  • Jeff Canter (Nashville, Tennessee)
  • May T. Lim (Quezon City, Philippines)

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