### Brain Teasers

# True or False

Choose true or false to these statements, and your choices must be consistent.

1. You chose "True" at most once.

2. You chose "False" at most once.

3. You chose "True" at most twice.

4. You chose "False" at most twice.

5. You chose "True" at most three times.

6. You chose "False" at most three times.

7. You chose "True" at most four times.

8. You chose "False" at most four times.

9. You chose "True" at most five times.

10. You chose "False" at most five times.

1. You chose "True" at most once.

2. You chose "False" at most once.

3. You chose "True" at most twice.

4. You chose "False" at most twice.

5. You chose "True" at most three times.

6. You chose "False" at most three times.

7. You chose "True" at most four times.

8. You chose "False" at most four times.

9. You chose "True" at most five times.

10. You chose "False" at most five times.

### Hint

How many statements do you choose true, and how many statements do you choose false?### Answer

You can't choose true in both statements 1 and 2, at least one of them must be false. Similar logic exists in statements 3 and 4, and 5 and 6.Statements 7 and 10 are contradictory, you must choose one of them true and the other false. Similar logic exists in statements 8 and 9.

Therefore, you choose "false" at least 5 times and "true" at least 2 times. By trial and error you see that statements 5, 7 and 9 are true, and the others are false.

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