Four Statements
Here are four statements.
1. None of these statements are true.
2. One of these statements is true.
3. Two of these statements are true.
4. All of these statements are true.
How many are true? (For an extra challenge, figure out which one is true!)
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1 solution
All statements are mutually exclusive, so you can't have more than one statement be true at a time. That leaves us with two options: either none of the statements are true, or exactly one statement is true.
If none of the statements are true, Statement 1 is true, which contradicts itself.
If one statement is true, then Statement 2 is true, and the others are false. This does not create a paradox, so it is correct. Our answer is Statement 2 .