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Aptitude ends 00:07:15 )/Q@OOO0 @©@@OO* OO OJOIOL - TOOTS) ® Software ek G&G 8 ®@ 10. The profession of E Q < Previous There are six people A, B, C, D, E, and Fin a family. They are an Engineer, Manager, Painter, Jeweler, Doctor, and Lawyer by profession. 1. The doctor is the grandfather of F, who is an Engineer. 2. The manager D is married to A. 3. C, the jeweler, is married to the Painter. 4. Bis the mother of E and F. 5. Eis a bachelor. Using the given information, determine the profession of E? Note: It is given that no person other than A, 8, C, D, E, and F is involved in the relationships described above. - A) Engineer - B) Jeweler - C) Manager
Show answer & explanation
By analyzing the family tree, we identify that the grandfather (Doctor) and grandmother (Painter) are the parents of the Manager (D) and the mother (B). Since C is the Jeweler and married to the Painter, and E is the only remaining person to fit the role of the Jeweler's child or the Jeweler himself, the constraints force E to be the Jeweler.
Step-by-step Derivation:
Step 1: Analyze the family structure. F is an Engineer. The Doctor is F's grandfather. B is the mother of E and F. This implies B is the daughter-in-law or daughter of the Doctor.
Step 2: Identify the couples. D (Manager) is married to A. C (Jeweler) is married to the Painter.
Step 3: Determine the generations. Generation 1: Grandparents. Generation 2: Parents. Generation 3: Children (E and F).
Step 4: Assign roles. F is the Engineer. The Doctor is the grandfather (Gen 1). B is the mother (Gen 2). Since D is married to A, and B is the mother of E and F, D must be the father of E and F (Gen 2) and A must be B (since D is married to A and B is the mother). Thus, A = B.
Step 5: Identify the remaining roles. We have the Doctor and the Painter in Gen 1. C is the Jeweler and is married to the Painter. Therefore, C is the grandfather (Doctor) or the grandmother (Painter). However, the prompt says C is the Jeweler. If C is the Jeweler and married to the Painter, then the Doctor must be the other spouse in Gen 1. But the prompt says the Doctor is the grandfather. This means the grandfather is the Doctor, and his spouse is the Painter. C is the Jeweler.
Step 6: Re-evaluating the roles:
- F: Engineer
- Doctor: Grandfather (Gen 1)
- Painter: Grandmother (Gen 1)
- D: Manager (Gen 2)
- B/A: Mother (Gen 2)
- E: The only person left. The professions are Engineer, Manager, Painter, Jeweler, Doctor, Lawyer.
- Assigned: F(Eng), D(Man), Gen1-1(Doc), Gen1-2(Paint).
- Remaining professions: Jeweler, Lawyer.
- C is the Jeweler. Since C must be one of the six people (A, B, C, D, E, F), and A, B, D, F are already assigned, C must be the grandfather or E must be C.
- If C is the Jeweler and married to the Painter, C is the grandfather. But the grandfather is the Doctor. This implies C is the Jeweler and the Doctor is the other person. Wait, the prompt says 'C, the jeweler, is married to the Painter'. This means C is the Jeweler. If the grandfather is the Doctor, then the grandmother is the Painter. This leaves E.
- Let's re-read: 'C, the jeweler, is married to the Painter'. If C is the Jeweler, and the Doctor is the grandfather, then C cannot be the grandfather. Thus C must be the grandmother's spouse? No, that's the grandfather.
- Let's check the options: Engineer, Jeweler, Manager.
- If C is the Jeweler and is one of the six people, and the Doctor is the grandfather, then C must be the father or a child. But C is married to the Painter.
- If C (Jeweler) is married to the Painter, and the Doctor is the grandfather, then C and the Painter are the grandparents. But the grandfather is the Doctor. This means C is the Doctor? No, C is the Jeweler.
- This implies the Doctor and the Jeweler are different people. If the Doctor is the grandfather, and C (Jeweler) is married to the Painter, then C and the Painter are the other set of grandparents or parents.
- Given the limited pool (6 people), the only way this works is if E is C. If E is C, then E is the Jeweler.