Which of the following statements is true?

1. Exactly one of these ten statements is false.

2. Exactly two of these ten statements are false.

3. Exactly three of these ten statements are false.

4. Exactly four of these ten statements are false.

5. Exactly five of these ten statements are false.

6. Exactly six of these ten statements are false.

7. Exactly seven of these ten statements are false.

8. Exactly eight of these ten statements are false.

9. Exactly nine of these ten statements are false.

10. Exactly ten of these ten statements are false.

Which of the above statements will be true and which of them will be false, if you remove the word 'Exactly' from all the statements ?

I understand the at least thing, what doesnt make sense is that it is not stated that all the sentences are denoted "true" or "false" and by removing the word exactly they change the classification of its status. Example: The following statements are true if they contain the word Pie.
Pie is a square, one of these statements is false.
Pie is a circle, one of these statements is true. something like that.

Posted by Lucifer on 2003-02-28 12:26:19