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