BrainDen.com - Brain Teasers # jasen

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1. jasen's post in Bar puzzle was marked as the answer
To avoid the customers' disappointement, the bartender comes up with a solution.
He gives each man a glass of cocktail, and explains :
If each letter represents a digit, we can write it like this :
1 pepsi + 1 cocacola = 1 cocktail  -> 1 *  40497 + 26212681 = 26253178
2 pepsi + 1 cocacola = 1 cocktail  ->  2 * 27264 + 58535813 = 58590341
3 pepsi + 1 cocacola = 1 cocktail  -> 3 * 20239 + 54515481 = 54576198
4 pepsi + 1 cocacola = 1 cocktail  -> 4 * 18153 + 64606420 = 64679032
5 pepsi + 1 cocacola = 1 cocktail  -> 5 * 12149 + 73707350 = 73768095
2. jasen's post in numbers in repeating decimals was marked as the answer
There is 1 number can't written like that. The number is 0.
So the statement is wrong.
3. jasen's post in Gime a Clue was marked as the answer
4. jasen's post in SBT Fraction was marked as the answer
modified Stern-Brocot Tree to third sequence.
3rd sequence  34/55   157/254  123/199 212/343  89/144  233/377  144/233  199/322 55/89
since it use fibbonaci number, which is relatively prime, so the fraction is already in simple form.
so there is no fraction with 55<b<89
5. jasen's post in Prove that you solved sudoku was marked as the answer
after a week long journey abroad, now I'm active again.

After thinking again, and using the clue harrey give us (scisors, pen, and paper),
Yes it is possible to prove it without computer, but it takes many steps.
6. jasen's post in Number was marked as the answer
7. jasen's post in Need directions was marked as the answer
Right !
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