Points to Remember:
- Six family members (A, B, C, D, E, F) have different professions (Doctor, Lawyer, Teacher, Engineer, Nurse, Manager) and stay home on different weekdays (Monday-Saturday).
- Deductive reasoning is required to solve this logic puzzle.
Introduction:
This question is a logic puzzle requiring deductive reasoning to determine the profession and stay-at-home day for each family member. We are given several clues about their professions and days off, allowing us to systematically eliminate possibilities and arrive at a solution. The approach is purely factual and analytical, relying on the provided information to deduce the correct answers.
Body:
1. Analyzing the Clues:
Let’s organize the given information into a table:
| Member | Profession | Day Off |
|—|—|—|
| A | Doctor | |
| B | Engineer | |
| C | | Tuesday |
| D | | Friday |
| E | Manager | |
| F | | |
We know:
- Lawyer stays home on Thursday.
- A (Doctor) doesn’t stay home on Saturday or Wednesday.
- D (not Doctor, not Teacher) stays home on Friday.
- B is an Engineer.
- E is a Manager.
2. Deductive Reasoning:
-
Step 1: Since the Lawyer is off on Thursday, and A is not off on Saturday or Wednesday, A’s day off must be Monday or Tuesday. But C is off on Tuesday, so A must be off on Monday.
-
Step 2: D is off on Friday and is neither a Doctor nor a Teacher.
-
Step 3: B is the Engineer, and E is the Manager. This leaves Teacher, Nurse, and Lawyer as the remaining professions.
-
Step 4: Since the Lawyer is off on Thursday, and D is off on Friday, the Teacher and Nurse must be off on Saturday and Wednesday (in some order).
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Step 5: We can now fill in the table with the deduced information:
| Member | Profession | Day Off |
|—|—|—|
| A | Doctor | Monday |
| B | Engineer | |
| C | | Tuesday |
| D | | Friday |
| E | Manager | |
| F | | |
3. Completing the Table:
The only remaining days are Wednesday and Saturday. The only remaining professions are Nurse, Teacher, and Lawyer. Since the Lawyer is off on Thursday, we can deduce that:
- F is the Lawyer (Thursday)
- One of C or D is the Teacher or Nurse. Since D is not a teacher, D must be the Nurse.
- Therefore, C must be the Teacher.
- The only remaining profession for B is the Teacher. This is a contradiction, as C is already the Teacher. Therefore, there must be an error in the initial assumptions. Let’s re-examine.
Let’s assume B is the Engineer and E is the Manager. This leaves Teacher, Nurse, and Lawyer. The Lawyer is on Thursday. D (not Doctor, not Teacher) is on Friday. A (Doctor) is not on Saturday or Wednesday, so A is on Monday or Tuesday. Since C is on Tuesday, A is on Monday. This leaves Wednesday and Saturday for the Nurse and Teacher.
4. Final Deductions:
- A: Doctor, Monday
- B: Engineer, Wednesday (or Saturday)
- C: Teacher, Tuesday
- D: Nurse, Friday
- E: Manager, Saturday (or Wednesday)
- F: Lawyer, Thursday
5. Answering the Questions:
(A) Which combination is incorrect? The initial assumption that B could be the Engineer and still have the remaining professions fit the schedule was incorrect. The initial assumptions led to a contradiction.
(B) Which combination is correct? The combination where A is the Doctor on Monday, C is the Teacher on Tuesday, D is the Nurse on Friday, F is the Lawyer on Thursday, and B and E are the Engineer and Manager (in either order) on Wednesday and Saturday is the correct combination.
(C) Who is the Nurse? D is the Nurse.
(D) Who stays at home the day after C? D stays at home the day after C (Wednesday follows Tuesday).
Conclusion:
This logic puzzle demonstrates the importance of systematic deduction and careful consideration of all available information. By eliminating possibilities based on the given clues, we were able to determine the profession and day off for each family member. The key was to identify and resolve the contradictions that arose from initial assumptions. The solution highlights the power of logical reasoning in solving complex problems. Further investigation might involve creating a more robust algorithm to solve similar logic puzzles with more variables.