Question 1
6 tasks (A, B, C, D, E, F) are to be completed one after the other. The following conditions must be met:
- Task A must be performed immediately after Task C.
- Task B must be completed before Task E.
- Task F is neither the first nor the last task to be completed.
- Task D is performed exactly 3 positions after Task B.
Which task is scheduled in the fifth position?
Step-by-step solution (Deductive Logic):
1. Apply Consecutive Constraint: 'A immediately after C' -> (C, A)
2. Apply Before Constraint: 'B before E'
3. Apply Exclusion Constraint: 'F not first or last'
4. Apply Gap Constraints: 'D is 3 after B'
Final Sequence: B → C → A → D → F → E
Answer: The task in the fifth position is F.
Key Strategy: Use fixed pairs and gap constraints to anchor positions.
1. Apply Consecutive Constraint: 'A immediately after C' -> (C, A)
2. Apply Before Constraint: 'B before E'
3. Apply Exclusion Constraint: 'F not first or last'
4. Apply Gap Constraints: 'D is 3 after B'
Final Sequence: B → C → A → D → F → E
Answer: The task in the fifth position is F.
Key Strategy: Use fixed pairs and gap constraints to anchor positions.