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1 Views· 22 August 2022

When Is Cheryl's Birthday? Answer To Viral Math Puzzle

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Horacio57W
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This problem went viral after it appeared on a Math Olympiad test for talented students in Singapore. It's not a trick question! Here's the problem, which I have very slightly re-worded for clarity.

Blog post (detailed text explanation): http://mindyourdecisions.com/b....log/2015/04/14/when-

Source: https://www.facebook.com/kennethjianwenz/photos/a.173663129479243.1073741827.167504136761809/385751114937109/?type=1&theater

Official Solution: http://mothership.sg/2015/04/p....5-logic-question-is-

Albert and Bernard have just become friends with Cheryl, and they want to know when her birthday is. Cheryl gives them a list of 10 possible dates.

May 15, May 16, May 19
June 17, June 18
July 14, July 16
August 14, August 15, August 17

Cheryl tells Albert the month and Bernard the day.

Albert says, "I don't know when Cheryl's birthday is, but I know that Bernard cannot know either."

Bernard then says, "At first I didn't know when Cheryl's birthday is, but now I do know."

Albert concludes, "Now I know when Cheryl's birthday is."

So when is Cheryl's birthday?

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"The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 23 reviews) https://www.amazon.com/gp/product/1500497444

"The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1523231467/

"Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. https://www.amazon.com/gp/product/1517421624/

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