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by dudiobugtron
Wed Aug 01, 2012 8:55 am UTC
Forum: Mathematics
Topic: Proof by Exhaustion - Is this sufficient?
Replies: 4
Views: 2383

Re: Proof by Exhaustion - Is this sufficient?

You don't need to do all of that for even integers, you just have to show that 4k+3 is odd. ;)
by dudiobugtron
Wed Aug 01, 2012 6:52 am UTC
Forum: Mathematics
Topic: Investing in different countries
Replies: 9
Views: 3438

Re: Investing in different countries

dudiobugtron, it seems unlikely that this is a case of arbitrage. Such a trade is too simple for traders not to have noticed and exploited (law of one price). You're right, it probably isn't! But I think the OP was asking whether it was or not (without actually using the word 'arbitrage'), and why ...
by dudiobugtron
Wed Aug 01, 2012 12:41 am UTC
Forum: Mathematics
Topic: Investing in different countries
Replies: 9
Views: 3438

Re: Investing in different countries

The best solution, of course, is to become a bank. Then you can borrow at 5% and lend at 7% in the same country, and also charge currency exchange fees.

Spoiler:
For general discussion on this sort of thing, you might also want to look up 'arbitrage':
http://en.wikipedia.org/wiki/Arbitrage
by dudiobugtron
Tue Jul 31, 2012 10:23 pm UTC
Forum: Logic Puzzles
Topic: Planting 10 trees in an orchard - 5 rows with 4 in each row
Replies: 8
Views: 17977

Planting 10 trees in an orchard - 5 rows with 4 in each row

A fiendish orchard owner has employed you as a summer labourer, and given you a series of tasks of increasing difficulty. The more of them you can complete, the more money you'll get. Note, however, you may need to change your answers to the earlier tasks in order to complete later ones! Her orchard...
by dudiobugtron
Tue Jul 31, 2012 9:31 pm UTC
Forum: Logic Puzzles
Topic: Imposter Puzzle
Replies: 69
Views: 19497

Re: Imposter Puzzle

I agree, this is a great puzzle! I've spent way too long thinking about it and not getting anywhere. ;) It seems like there are two different ways people have been trying to approach the puzzle: One is to try and find a method of checking for Thurns that is impossible for the Thurns to break, and th...
by dudiobugtron
Tue Jul 31, 2012 9:20 pm UTC
Forum: Logic Puzzles
Topic: Hand dice problem
Replies: 4
Views: 2270

Re: Hand dice problem

In reply to above conversation: Ooops! I agree, 'random' wasn't the best word for that! Thanks for clarifying what I meant kalakuja. I should have said : "Just get each person to choose (arbitrarily!) a number of fingers to display from 0 to 5." In reply to OP: You coul...
by dudiobugtron
Tue Jul 31, 2012 12:52 am UTC
Forum: Logic Puzzles
Topic: Hand dice problem
Replies: 4
Views: 2270

Re: Hand dice problem

I assume you mean they want to use their hands instead of dice? So basically, each person has to choose a number of fingers to display, but the outcome still has to appear random to each person regardless of their choice? In that case: Just get each person to choose (randomly!) a number of f...
by dudiobugtron
Tue Jul 31, 2012 12:19 am UTC
Forum: Logic Puzzles
Topic: 100 Cards, and others
Replies: 9
Views: 5131

Re: 100 Cards, and others

First post, so apologies if bumping oldish puzzles is not the right thing to do, but here are some other 'fun' answers to this puzzle: You have 6 cards, showing "2", "3", "4", "5", "+", and "=". Use all 6 cards exactly once (face up, proper...

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