### Brain Teasers

# Which Statement is True?

Which one of these statements is true?

Statement 1: The sum of the false statements is 8

Statement 2: This statement is true

Statement 3: Statement 1 is true

Statement 4: Statement 2 is false

Statement 1: The sum of the false statements is 8

Statement 2: This statement is true

Statement 3: Statement 1 is true

Statement 4: Statement 2 is false

### Answer

Statement 1 cannot be true because then the sum of the false statements would equal 9, not 8. Statement 3 cannot be true since that would make Statement 1 true. Statement 2 cannot be true because the sum of the false statements would equal 8, and that would result in Statements 1 and 3 being true also. Since we know Statement 2 is false, we know Statement 4 is true, because it says that Statement 2 is false.Answer: Statement 4

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