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   Author  Topic: Number riddles  (Read 1154 times)
Bass
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Number riddles
« on: 2006-11-24 18:28:41 »
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Just thought that I'd try this out for fun. If you have any yourself, please add them to the thread.

So this is how I think this should work. Someone types a number riddle, or puzzle and the first one to post with the correct answer wins.

Here is the first one.

Clues:

1. I have all the numbers from 0-9.
2. I have a two in my hundred thousands place.
3. I am an odd number.
4. My ten thousands place is divisible by 3.
5. The tens place is 5.
6. The ten millions place is divisible by 4.
7. The thousands place is prime.
8. Nine is in the hundred millions place.
9. The millions and the billions place’s sum is 4.
10. Zero is next to two.
11. The ones place is not 3.
12. The thousands place is not 7.
13. The ones place is prime.

Your Answer:
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Hermit
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Re:Number riddles
« Reply #1 on: 2006-11-25 12:26:06 »
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I have just rediscovered that the habits of youth take precedence. I first obtained ambiguous results, yielding 4 possible numbers, this occuring if you regard one as a prime. That being what my tutor taught me, that is what I used first. It took some thought to recall that modern mathematics regards one as a non-prime (which still feels strange to me). Of course this removes the ambiguity.

As nobody else has yet published a response, here is my answer, encrypted by multiplying my result by the product of two primes. 124556366615780529

I'll provide the keys later after giving others the chance to get it.

Regards

Hermit
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With or without religion, you would have good people doing good things and evil people doing evil things. But for good people to do evil things, that takes religion. - Steven Weinberg, 1999
Bass
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Re:Number riddles
« Reply #2 on: 2006-12-06 22:36:42 »
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Looks like no one else wants to play

Its been so long I lost the answer lol, Ill find it though.

btw Hermit how did you come up with your answer it? It looks fairly close, Ii think...Ill get the answer soon.

Bass
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Hermit
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Re:Number riddles
« Reply #3 on: 2006-12-06 23:15:25 »
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It is now trivially possible to determine whether our answers agree. Simply take my earlier product and divide it by your answer, which you can publish here. Assuming our answers agree, I will confirm the validity of my claim by providing one of the two primes I used in confirmation allowing you to establish the validity of my prior claim.

Please use an infinite precision calculator for all calculations.

I obtained the reflected result through the reduction of digits through elimination by inspection. The technique I used was to begin with a spreadsheet 10x10 matrix with all 10 digits repeated in each square, first identifying the constants and then eliminating conflicts and impossible results. I was left with a very few alternatives and sufficient rules to establish (once I had resolved the 1 is no longer a prime situation) the only possible result.

Regards

Hermit



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With or without religion, you would have good people doing good things and evil people doing evil things. But for good people to do evil things, that takes religion. - Steven Weinberg, 1999
David Lucifer
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Re:Number riddles
« Reply #4 on: 2006-12-09 04:45:15 »
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I like this puzzle even though it isn't technically a number puzzle:

You have two strings, each of which burns in exactly one hour, although not at a constant rate. In other words, it may take more or less than half an hour to burn one half of either string. How can you use these strings to measure three quarters of an hour?
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Hermit
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Re:Number riddles
« Reply #5 on: 2006-12-09 14:00:24 »
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A logical puzzle.

Ynory lbhe fgevatf n naq o. Fvzhygnarbhfyl vtavgr obgu raqf bs n naq bar raq bs o. Nf n oheaf bhg (vaqvpngvat gung 0.5 ue unf cnffrq naq guhf gung 0.5 ue bs o unf ohearq yrnivat 0.5 ue bs o gb ohea), vtavgr gur bgure raq bs o.  o jvyy gura ohea bhg va 0.25 ue be 15 zvahgrf. Fb nf o oheaf bhg, 45 zvahgrf unf cnffrq.
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With or without religion, you would have good people doing good things and evil people doing evil things. But for good people to do evil things, that takes religion. - Steven Weinberg, 1999
Blunderov
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Re:Number riddles
« Reply #6 on: 2006-12-09 14:56:41 »
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Avpr!
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