Question: When is Cheryl’s birthday?

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If you’re having trouble reading that, see here:

“Albert and Bernard just became 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 then tells Albert and Bernard separately the month and the day of her birthday respectively.

Albert: I don’t know when Cheryl’s birthday is, but I know that Bernard doesn’t not know too.

Bernard: At first I don’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?”

It’s unclear why Cheryl couldn’t just tell both Albert and Bernard the month and day she was born, but that’s irrelevant to solving this problem.

Answer: July 16.

Confused about how one could possibly find any answer to this question? Don’t worry, so was most of the world when this question, taken from a Singapore and Asian Schools Math Olympiad competition, went viral a few years ago. Thankfully, though, the New York Times explains step-by-step how to get to July 16, and you can read their detailed deduction here.