Deduction Advanced Quiz 1

1. If P implies Q, then R is true. If R is true, then S is false. It is discovered that S is actually true. What can be definitively deduced about P and Q?

2. All members of the board are shareholders. No shareholders are willing to liquidate assets. If Director Vance is willing to liquidate assets, what follows?

3. If the safe was breached, it must have been an inside job using an encrypted key. Forensic logs prove that no encrypted key was used on the system. What can be deduced?

4. Given: Either the mainframe is running or both the backup power and the cooling system have failed. The cooling system is verified to be fully operational. What must be true?

5. No transaction is approved unless a secure token is generated. A secure token is generated only when the biometric scan passes. The biometric scan just failed. What is the status of the transaction?

6. If the treaty is signed, trade tariffs will drop. If trade tariffs drop, domestic manufacturing will suffer. It is a logical certainty that domestic manufacturing will not suffer. What can be deduced?

7. If Component A is stable, then either Component B or Component C must be active. Component B is confirmed to be inactive, and Component C is also inactive. What is the status of Component A?

8. All sound nodes are resonant fields. No resonant fields are capable of sustaining a vacuum. If Entity Omega is capable of sustaining a vacuum, what follows?

9. If the witness is telling the truth, the defendant has a valid alibi. If the defendant has a valid alibi, the prosecution's timeline is impossible. The prosecution's timeline is verified to be entirely accurate. What is the logical conclusion?

10. A valid operational state requires that if System X is online, System Y must be offline. Right now, both System X and System Y are online. What can be deduced about the operational state?