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Summer Maths Puzzles - Thursday 29 August - More Doors to your Destiny

More Doors to your Destiny

[Apologies for initial non-determinism in Q4.  Now removed.]

You continue in your quest for freedom (see yesterday’s puzzle).

  1. You next encounter 3 yellow doors. The guard tells you that for yellow doors, one door will always lead you on the path to freedom and the other two will lead you to your death.  He adds that at most one of the signs is true. 

Which door do you choose?

  1. Having successfully avoided once more death you proceed along the corridor only to find yourself facing a set of 3 red doors. The guard tells you that one takes you to your freedom, the second to your death, and the third to eternal imprisonment. He adds that the sign on the door on the path to freedom is true, the sign on the door that leads you to your death is false, and the sign on the door to eternal imprisonment may be true or false.

This is your final choice. Which door do you choose?

 

Please email your answers to deputy-director[at]newton.ac[dot]uk and remember to include your name (or the name of the group that you solved the puzzle with) so that we can publish it on our website if you are one of the first few to successfully solve the problem.  

Answers to all puzzles will be published at the end of the month. 

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