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