Question 1
Six persons Divya, Falguni, Bina, Amit, Eshaan and Chetan are sitting in a row facing North.
Each has a different profession: Architect, Banker, Lawyer, Teacher, Doctor and Engineer.
Divya is a Architect and sits third from the left.
The Banker sits second from the left. Falguni sits second to the right of the Banker.
The Doctor sits immediately to the right of Divya. Eshaan is a Lawyer and is not adjacent to Divya.
The Teacher sits at the right extreme end. Chetan sits at an extreme end. Amit is not at an extreme end.
What is the profession of Amit?
Solution Approach:
Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _
Step 2: Apply direct conditions
- Divya is Architect, sits at position 3
- The Banker sits second from the left → position 2
(Which person is the Banker? Must be Bina, the only one unassigned here — verified below.)
- Falguni sits second to the right of the Banker (pos 2): 2+2 = pos 4 → Falguni at position 4
Position: _ [Banker] Divya Falguni _ _
Profsn: _ Banker Architect _ _ _
Step 3: Apply adjacency and profession constraints
- The Doctor sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Falguni
∴ Falguni is the Doctor ✓
- The Teacher sits at right extreme → position 6
Position: _ [Banker] Divya Falguni _ [law]
Profsn: _ Banker Architect Doctor _ Teacher
Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Amit, Eshaan, Chetan
The Banker is at pos2. Which person?
Not Divya(pos3), not Falguni(pos4). Try each remaining:
Bina at pos2 → Bina=Banker ✓ (no other constraint violated)
Position: _ Bina Divya Falguni _ _
Profsn: _ Banker Architect Doctor _ _
Step 5: Place E, D, F
Remaining persons: Eshaan,Amit,Chetan → positions 1, 5, 6.
- Eshaan is Lawyer and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Eshaan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Chetan sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit at pos5.
- Chetan at extreme: pos1 or pos6.
- Teacher at pos6. If F=Teacher, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Eshaan and Chetan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Divya(doc), Falguni(ban), Bina(eng), Amit(remaining profsn), Eshaan(tea).
Teacher must be Chetan. So Chetan at pos6 = Teacher. Eshaan at pos1 = Lawyer ✓ (not adjacent to Divya).
Final Arrangement:
Position: 1 2 3 4 5 6
Person: Eshaan Bina Divya Falguni Amit Chetan
Profsn: Lawyer Banker Architect Doctor ? Teacher
Step 6: Determine Amit's profession
Professions assigned: Architect(Divya), Doctor(Falguni), Banker(Bina), Lawyer(Eshaan), Teacher(Chetan)
Remaining profession: Engineer → Amit is the Engineer
Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Falguni second right of Engineer (pos 4)
✓ Banker(Falguni) immediately right of Divya
✓ Eshaan=Teacher at pos 1 (not adjacent to Divya)
✓ Lawyer(Chetan) at right extreme (pos 6)
✓ Chetan at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)
Answer: Amit's profession is Engineer.
Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _
Step 2: Apply direct conditions
- Divya is Architect, sits at position 3
- The Banker sits second from the left → position 2
(Which person is the Banker? Must be Bina, the only one unassigned here — verified below.)
- Falguni sits second to the right of the Banker (pos 2): 2+2 = pos 4 → Falguni at position 4
Position: _ [Banker] Divya Falguni _ _
Profsn: _ Banker Architect _ _ _
Step 3: Apply adjacency and profession constraints
- The Doctor sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Falguni
∴ Falguni is the Doctor ✓
- The Teacher sits at right extreme → position 6
Position: _ [Banker] Divya Falguni _ [law]
Profsn: _ Banker Architect Doctor _ Teacher
Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Amit, Eshaan, Chetan
The Banker is at pos2. Which person?
Not Divya(pos3), not Falguni(pos4). Try each remaining:
Bina at pos2 → Bina=Banker ✓ (no other constraint violated)
Position: _ Bina Divya Falguni _ _
Profsn: _ Banker Architect Doctor _ _
Step 5: Place E, D, F
Remaining persons: Eshaan,Amit,Chetan → positions 1, 5, 6.
- Eshaan is Lawyer and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Eshaan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Chetan sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit at pos5.
- Chetan at extreme: pos1 or pos6.
- Teacher at pos6. If F=Teacher, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Eshaan and Chetan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Divya(doc), Falguni(ban), Bina(eng), Amit(remaining profsn), Eshaan(tea).
Teacher must be Chetan. So Chetan at pos6 = Teacher. Eshaan at pos1 = Lawyer ✓ (not adjacent to Divya).
Final Arrangement:
Position: 1 2 3 4 5 6
Person: Eshaan Bina Divya Falguni Amit Chetan
Profsn: Lawyer Banker Architect Doctor ? Teacher
Step 6: Determine Amit's profession
Professions assigned: Architect(Divya), Doctor(Falguni), Banker(Bina), Lawyer(Eshaan), Teacher(Chetan)
Remaining profession: Engineer → Amit is the Engineer
Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Falguni second right of Engineer (pos 4)
✓ Banker(Falguni) immediately right of Divya
✓ Eshaan=Teacher at pos 1 (not adjacent to Divya)
✓ Lawyer(Chetan) at right extreme (pos 6)
✓ Chetan at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)
Answer: Amit's profession is Engineer.