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# [Easy] A Matter of Truth

Michael Morris
Ranch Hand
Posts: 3451
Which of the following statements are true and which are false:
1. Exactly one of the statements in this list is false.
2. Exactly two of the statements in this list are false.
3. Exactly three of the statements in this list are false.
4. Exactly four of the statements in this list are false.
5. Exactly five of the statements in this list are false.
6. Exactly six of the statements in this list are false.
7. Exactly seven of the statements in this list are false.
8. Exactly eight of the statements in this list are false.
9. Exactly nine of the statements in this list are false.
10. Exactly ten of the statements in this list are false.
This problem was taken from Challenging Brainteasers

Anupam Sinha
Ranch Hand
Posts: 1090
The first statement is false.

1. Exactly one of the statements in this list is false.

Because it should be
1. Exactly one of the statement in this list is false.

On a serious note I guess that a total of 10 statements are true and 90 are false.

Michael Morris
Ranch Hand
Posts: 3451
1. Exactly one of the statements in this list is false.
Are there not 10 statements in the list?

Anupam Sinha
Ranch Hand
Posts: 1090
Hi Michael

Michael Morris
Ranch Hand
Posts: 3451
Originally posted by Anupam Sinha:
Hi Michael

There are only 10 statements. How can 10 be true and 90 be false? Maybe you had a typo? Let me clarify. Of the ten statements listed which statements are true and which are false?

Ranch Hand
Posts: 265
Number 9 is true. The rest are false.

Michael Morris
Ranch Hand
Posts: 3451