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