perplexus.info :: Logic : Divide into Primes

Divide into Primes (Posted on 2005-09-17)

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)

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
re(2): answer	K Sengupta	2022-08-23 06:28:54
re: answer	Ady TZIDON	2015-01-09 23:54:13
answer	K Sengupta	2007-09-12 01:15:55
My take on what Harry;s got	Rich	2005-11-12 15:36:46
re: question about problem	monica	2005-09-21 04:48:53
question about problem	monica	2005-09-21 04:04:11
re: Coincidence and binary searches	Steve Herman	2005-09-18 12:52:54
re: Errata: 1st solution	Steve Herman	2005-09-17 15:58:04
Errata: 1st solution	Percy	2005-09-17 12:47:33
Coincidence and binary searches	Steve Herman	2005-09-17 12:23:27
Variation on the puzzle	Penny	2005-09-17 12:16:05
Solution	Bractals	2005-09-17 04:19:51
Solution	Steve Herman	2005-09-17 03:33:17

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