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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
T
H
P
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G
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S
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R
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I
T
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Y
S
"
E
X
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C
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Y
4
9
9
P
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G
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N
T
H
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B
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K
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R
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F
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L
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"
W
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T
H
T
H
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P
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G
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,
T
H
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T
H
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4
9
9
P
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G
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S
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F
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,
F
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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
USE 4 HALF FILLED BARRELS TO FILL 2 EMPTY BARRELS. WE ARE THEN LEFT WITH 9 FULLY FILLED BARRELS, 3 HALF FILLED BARRELS AND 9 EMPTY BARRELS. EACH SON GETS 3 FULL BARRELS, 1 HALF-FULL BARREL, AND 3 EMPTY BARRELS
HE LEAVES HIS HOUSE AT 7.15 AND REACHES SCHOOL AT 8.15. FROM THE MACHINE AND TRACTOR STATION TO THE RAILROAD STATION IS 1/3 - 1/4 = 1/12 OF THE WAY. BORIS WALKS IT IN 5 MINUTES, SO THE WHOLE TRIP TAKES 1 HOUR. ONE-FOURTH OF THE WAY IS 15 MINUTES. SO HE LEAVES HIS HOUSE AT 7:15 AND REACHES SCHOOL AT 8:15
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