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