Cheryl’s Birthday

Cheryl’s Birthday is the unofficial name given to a mathematics brain teaser that was asked in the Singapore and Asian Schools Math Olympiad, and was posted online on 10 April 2015 by Singapore TV presenter.


Problem: It is known that Cheryl’s birthday is one of the following 10 dates listed in the table.
May151619
June1718
July1416
August141517
Cheryl tells Albert and Bernard separately the month and the day of her birthday respectively.
Then following conversation takes place
Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t know too.


Bernard: At first I didn’t know when Cheryl’s birthday is, but I know now.
Albert: Then I also know when Cheryl’s birthday is.
So when is Cheryl’s birthday?

For the answer click here.

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