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0 / 60 seg.
A book has 500 pages: The 1st page says "Exactly 1 page in this book is false." The 2nd page says "Exactly 2 pages in this book are false." ... The 500th page says "Exactly 500 pages in this book are false." Can any of the pages be true?
Y
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4
9
9
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P
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I
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Y
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"
E
X
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C
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Y
4
9
9
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N
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B
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K
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F
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"
W
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,
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4
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9
P
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F
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,
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N
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Clue
YES, THE 499TH PAGE IS TRUE. IT SAYS "EXACTLY 499 PAGES IN THIS BOOK ARE FALSE." WITH THIS PAGE TRUE, THE OTHER 499 PAGES ARE FALSE, FULFILLING THE STATEMENT
THE BOOK COSTS $2. LET THE COST BE X. WE KNOW THAT: X = 1 + X/2 SOLVING FOR X WILL GIVE 2
HE JUST DOESN'T TAKE THE BET. THIS GIVES HIM A 100 PERCENT CHANCE OF GETTING THE MONEY HOME. IF HE TAKES THE BET WITH 1 DIE, HE HAS A 50 PERCENT CHANCE OF WINNING. IF HE TAKES THE BET WITH 2 DICE HE HAS ABOUT A 56 PERCENT CHANCE OF WINNING. IF HE TAKES THE BET WITH 3 DICE HE HAS ABOUT A 42 PERCENT CHANCE OF WINNING
THE MATHEMATICIAN MADE A SMALL FENCE AROUND HIMSELF AND DECLARED HIMSELF TO BE ON THE OUTSIDE
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