Unsolvable for you

Logic Level 2

At first, the problem seems impossible to solve. But once you use some logic, the solution is actually rather simple. Rattle your brain — or phone a friend —before you look at the solution below the picture.

18 june 16 July 14 july 17 august 12 may

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2 solutions

Inathi Sirayi
Aug 13, 2015

There is only one grammatically correct answer in the options. I was attracted to this approach by the fact that all three sentences as spoken by the characters in the problem are given in the present tense. That sent me on a search for a linguistic solution, rather than a mathematical or primarily logical one.

The logic category is a more accurate category for this problem than number theory and it deserves much more than 10 points.

Raghav Arora - 5 years, 10 months ago

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Ya You r Right

Muhammad Fahad Khan - 5 years, 10 months ago
Sylvain Pelloquin
Aug 17, 2015

My solution is incomplete so please, help... - If Albert is sure that Bernard can't know the birthday, that means Albert has either July or August - if Bernard now knows the birthday, that means it can't be a 14th of either month (otherwise he couldn't decide) - it remains 07/14, 08/15 and 08/17 and I don't understand how Albert guessed which one is the good...

Any help ?

We have the three remaining dates 07/14, 08/15 and 08/17. Albert furthermore knows whether the month is 07 or 08; apparently, this gives him enough information to know for sure which of the three dates it is. Hence the month must be 07, otherwise he wouldn't be able to know for sure. Therefore the correct date must be 07/14.

Tijmen Veltman - 5 years, 9 months ago

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