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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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S
,
T
H
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4
9
9
T
H
P
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G
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_
S
T
R
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.
I
T
S
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Y
S
"
E
X
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C
T
L
Y
4
9
9
P
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G
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S
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N
T
H
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S
B
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K
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R
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F
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L
S
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.
"
W
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T
H
T
H
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S
P
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G
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T
R
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,
T
H
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_
T
H
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R
4
9
9
P
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G
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S
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R
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F
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L
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,
F
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F
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L
L
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N
G
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M
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N
T
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
TOM WINS AGAIN. IN THE FIRST RACE TOM RAN 100 METERS IN THE TIME IT TOOK HARRY TO RUN 95 METERS. SO IN THE SECOND RACE WHEN HARRY IS AT THE 95 METER MARK TOM WILL ALSO BE THERE (SINCE 100 - 5 = 95). SINCE TOM IS FASTER HE WILL PASS HARRY IN THE LAST 5 METERS OF THE RACE
THE BOOK COSTS $2. LET THE COST BE X. WE KNOW THAT: X = 1 + X/2 SOLVING FOR X WILL GIVE 2
THE TIME IS 9PM (OR 21:00 HOURS) RIGHT NOW. THERE ARE 12 HOURS BETWEEN THE 2 TIMES (1PM AND 1AM), AND HALF OF THAT TIME IS 6 HOURS. SO, THE HALFWAY MARK WOULD HAVE TO BE 7PM (1PM + 6 HOURS). IF IT WAS 7PM TWO HOURS AGO, THE TIME WOULD BE 9PM NOW
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