Hard
syllogismsmultiple-premisesdeduction

Which Conclusion Follows From These Multiple Premises?

Problem Statement

Premise 1: All managers are employees. Premise 2: Some employees are remote workers. Premise 3: No remote workers are required to commute. Premise 4: All managers attend weekly meetings. What can we conclude? A) Some managers don't commute. B) All employees attend weekly meetings. C) No managers are remote workers. D) Some remote workers attend weekly meetings.

Answer

D) Some remote workers attend weekly meetings

Step-by-Step Explanation

  1. 1

    Let's analyze each premise:

  2. 2

    P1: All managers are employees

  3. 3

    P2: Some employees are remote workers

  4. 4

    P3: No remote workers commute

  5. 5

    P4: All managers attend weekly meetings

  6. 6

    Option A: 'Some managers don't commute' — We can't conclude this. We don't know if any managers are remote workers.

  7. 7

    Option B: 'All employees attend weekly meetings' — False. Only managers (a subset of employees) attend.

  8. 8

    Option C: 'No managers are remote workers' — We can't conclude this. It's possible some managers are remote.

  9. 9

    Option D: 'Some remote workers attend weekly meetings' — IF some managers are remote workers (possible from P1+P2), then by P4, those managers attend meetings.

  10. 10

    The key insight: Since some employees are remote workers, and all managers are employees, it's possible some managers are remote workers.

  11. 11

    If any manager is a remote worker, they attend weekly meetings (P4).

  12. 12

    Therefore, D is the best answer that can be logically supported.