Step-by-Step Logical Deduction

To determine F's profession, we will systematically fill in the details for each of the seven individuals using the given clues. A table is helpful for tracking the assignments.

1. Initial Placements from Direct Clues

• Clue (ii): "B, a male engineer, travels with only G, a teacher, in a Swift."
  • This tells us the Swift contains exactly two people: B (Male, Engineer) and G (Teacher).
• Clue (vi) & (v): "The pair of sisters A and F travel in the same vehicle" and "A ... travels in a Creta."
  • This means both A and F are in the Creta. They are both female.
• Clue (i): "C is a lady doctor and does not travel with the pair of sisters A and F."
  • C's profession is Doctor and she is female.
  • She is not in the Creta (with A and F) and not in the Swift (which is full). Therefore, C must be in the Nexon.

2. Placing the Remaining Individuals (D and E)

• Clue (iii): "D is a male doctor."
  • D's profession is Doctor and he is male.
• Clue (iv): "Two people from the same profession do not travel in the same vehicle."
  • Since C is a Doctor in the Nexon, D (also a Doctor) cannot be in the Nexon. He also cannot be in the Swift. Therefore, D must be in the Creta.
• Person E: The only person remaining is E. The Nexon only has one person (C) so far and requires at least two. Therefore, E must be in the Nexon.

3. Determining the Final Professions

At this point, the remaining people who need a profession assigned are A, E, and F. The remaining professions are one Engineer and two Teachers.

• We know A is not an Engineer (Clue v). So A must be a Teacher.
• We know E is in the Nexon with C (Doctor).
• We know F is in the Creta with A (now a Teacher) and D (Doctor).
• The final Engineer must be either E or F. Let's test this with Rule (iv):
  • If E is the Engineer: Then F must be a Teacher. This would place two Teachers (A and F) in the Creta, which violates the rule. So, E cannot be the Engineer.
  • If F is the Engineer: Then E must be a Teacher. This places one Teacher (A) in the Creta and another (E) in the Nexon. This assignment is valid.

Conclusion

Through the process of elimination, the only valid assignment is for F to be the second Engineer.

Therefore, F's profession is Engineer.