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Divide into Primes (Posted on 2005-09-17) Difficulty: 3 of 5
The coins currently in circulation in Britain are for 1p, 2p, 5p, 10p, 20p, 50p, 100p and 200p. When I gave one of each of these coins to Tom and Harry to share between them, each took two or more coins, with each person's coins' total value equal to a prime number of pence. No coins were left over.

I asked Harry whether his share was a specific number of coins that I mentioned. He said "no".

I then asked Harry whether he had the coin of a denomination I specified. He said "yes".

His two answers allowed me to determine the total of the value that Harry had taken. What was that value?

See The Solution Submitted by Charlie    
Rating: 3.2857 (7 votes)

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Question question about problem | Comment 8 of 12 |

Hell all,

  New here, and trying to test my brain a bit. I worked out the coin combinations that were possible for Harry to have, but I am not sure how you figured out what questions were asked.

For the first question: I asked Harry whether his share was a specific number of coins that I mentioned. He said "no". How does everyone know the number asked was five? The number could have been 3, 4, or 5 yes?

Also, for the second question, how do you know he asked whether Harry had the 10p? Why not the 5 or the 20?

Just wondering if I am missing something here. Were we supposed to know the questions already?


  Posted by monica on 2005-09-21 04:04:11
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