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.
May | 15 | 16 | 19 | |||
June | 17 | 18 | ||||
July | 14 | 16 | ||||
August | 14 | 15 | 17 |
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.
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