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There is a piece of paper with 100 sentences written on:

1. Exactly one sentence on this page is false.
2. Exactly two sentences on this page are false.
3. Exactly three sentences on this page are false.
4. Exactly four sentences on this page are false.
5. Exactly five sentences on this page are false.
.
.
.
99. Exactly 99 sentences on this page are false.
100. Exactly 100 sentences on this page are false."How many sentences are false and how many are true?

2007-01-28 22:14:41 · 19 answers · asked by Basement Bob 6 in Education & Reference Trivia

19 answers

99 is the correct answer. We know it can't be 100 (because if there are 100 lines and a statement that 100 lines are false, then wouldn't that be a true statement?) If one was true then the following 99 would be false. So, therefore the only logically answer is 99. (If exactly 99 sentences on page are false that would be 1-98 & 100, then 99 is the only true statement.)

2007-01-29 06:20:57 · answer #1 · answered by Bamabrat 6 · 2 1

Every sentence contradicts every other sentence, so it is impossible for any two of them to be true. It must be one, or none.

If none of them are true, then sentence 100 is true, which would be a contradiction, and it can't be right.

So one of them is true, namely sentence 99. Sentences 1 to 98, and sentence 100, are the 99 false ones.

2007-01-29 06:21:04 · answer #2 · answered by Anonymous · 0 1

99 are false and 1 is true

2007-01-29 12:08:11 · answer #3 · answered by land057 2 · 0 1

99 are false and 1 is true

2007-01-29 00:45:10 · answer #4 · answered by doausa2003 1 · 1 1

99 are false and 1 is true.

2007-01-29 01:26:21 · answer #5 · answered by Anonymous · 1 1

99 are false, 1 is true

2007-01-28 22:23:08 · answer #6 · answered by crazydave 7 · 1 1

99 sentences are false. 99 is true (#99 that is).

2007-01-29 09:45:39 · answer #7 · answered by dbake50 2 · 0 1

99 false
1 true

2007-01-29 15:40:02 · answer #8 · answered by Me2 5 · 1 0

No. "99" is correct. Meaning there is one true statement and 99 false statements.

Good Luck!!!

2007-01-28 22:19:04 · answer #9 · answered by Anonymous · 2 2

In computer language && returns authentic in user-friendly words at the same time as both are authentic, the position as || returns authentic if any of them is authentic. Its reality table is a million acts as authentic & 0 acts as pretend For and 0 && 0 = 0 0 && a million = 0 a million && 0 = 0 a million && a million = a million For OR 0 || 0 = 0 0 || a million = 0 a million || 0 = 0 a million || a million = a million

2016-12-03 04:37:34 · answer #10 · answered by ? 4 · 0 0

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