Seating with Professions: Worksheet 6 - Intermediate-Advanced Practice Seating with Professions INTERMEDIATE ADVANCED

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Eshaan is Teacher, sits at position 3
- The Lawyer sits second from the left → position 2
(Which person is the Lawyer? Must be Bina, the only one unassigned here — verified below.)
- Divya sits second to the right of the Lawyer (pos 2): 2+2 = pos 4 → Divya at position 4

Position: _ [Lawyer] Eshaan Divya _ _
Profsn: _ Lawyer Teacher _ _ _

Step 3: Apply adjacency and profession constraints
- The Banker sits immediately to the RIGHT of Eshaan(pos 3) → pos 4 = Divya
∴ Divya is the Banker ✓
- The Architect sits at right extreme → position 6

Position: _ [Lawyer] Eshaan Divya _ [law]
Profsn: _ Lawyer Teacher Banker _ Architect

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Falguni, Amit, Chetan
The Lawyer is at pos2. Which person?
Not Eshaan(pos3), not Divya(pos4). Try each remaining:
Bina at pos2 → Bina=Lawyer ✓ (no other constraint violated)

Position: _ Bina Eshaan Divya _ _
Profsn: _ Lawyer Teacher Banker _ _

Step 5: Place E, D, F
Remaining persons: Amit,Falguni,Chetan → positions 1, 5, 6.
- Amit is Doctor and NOT adjacent to Eshaan(pos3): adjacent = pos2,pos4.
Amit not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Chetan sits at an extreme end: pos1 or pos6.
- Falguni is NOT at an extreme end: Falguni not at pos1 or pos6 → Falguni at pos5.
- Chetan at extreme: pos1 or pos6.
- Architect at pos6. If F=Architect, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Amit and Chetan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Architect (pos6)? Not Eshaan(doc), Divya(ban), Bina(eng), Falguni(remaining profsn), Amit(tea).
Architect must be Chetan. So Chetan at pos6 = Architect. Amit at pos1 = Doctor ✓ (not adjacent to Eshaan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Amit Bina Eshaan Divya Falguni Chetan
Profsn: Doctor Lawyer Teacher Banker ? Architect

Step 6: Determine Falguni's profession
Professions assigned: Teacher(Eshaan), Banker(Divya), Lawyer(Bina), Doctor(Amit), Architect(Chetan)
Remaining profession: Engineer → Falguni is the Engineer

Verification:
✓ Eshaan=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Divya second right of Engineer (pos 4)
✓ Banker(Divya) immediately right of Eshaan
✓ Amit=Teacher at pos 1 (not adjacent to Eshaan)
✓ Lawyer(Chetan) at right extreme (pos 6)
✓ Chetan at extreme end (pos 6)
✓ Falguni not at extreme end (pos 5)

Answer: Falguni's profession is Engineer.

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 Engineer, sits at position 3
- The Doctor sits second from the left → position 2
(Which person is the Doctor? Must be Divya, the only one unassigned here — verified below.)
- Amit sits second to the right of the Doctor (pos 2): 2+2 = pos 4 → Amit at position 4

Position: _ [Doctor] Chetan Amit _ _
Profsn: _ Doctor Engineer _ _ _

Step 3: Apply adjacency and profession constraints
- The Teacher sits immediately to the RIGHT of Chetan(pos 3) → pos 4 = Amit
∴ Amit is the Teacher ✓
- The Banker sits at right extreme → position 6

Position: _ [Doctor] Chetan Amit _ [law]
Profsn: _ Doctor Engineer Teacher _ Banker

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Divya, Eshaan, Bina, Falguni
The Doctor is at pos2. Which person?
Not Chetan(pos3), not Amit(pos4). Try each remaining:
Divya at pos2 → Divya=Doctor ✓ (no other constraint violated)

Position: _ Divya Chetan Amit _ _
Profsn: _ Doctor Engineer Teacher _ _

Step 5: Place E, D, F
Remaining persons: Bina,Eshaan,Falguni → positions 1, 5, 6.
- Bina is Lawyer and NOT adjacent to Chetan(pos3): adjacent = pos2,pos4.
Bina not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Falguni sits at an extreme end: pos1 or pos6.
- Eshaan is NOT at an extreme end: Eshaan not at pos1 or pos6 → Eshaan at pos5.
- Falguni at extreme: pos1 or pos6.
- Banker at pos6. If F=Banker, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Bina and Falguni at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Banker (pos6)? Not Chetan(doc), Amit(ban), Divya(eng), Eshaan(remaining profsn), Bina(tea).
Banker must be Falguni. So Falguni at pos6 = Banker. Bina at pos1 = Lawyer ✓ (not adjacent to Chetan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Bina Divya Chetan Amit Eshaan Falguni
Profsn: Lawyer Doctor Engineer Teacher ? Banker

Step 6: Determine Eshaan's profession
Professions assigned: Engineer(Chetan), Teacher(Amit), Doctor(Divya), Lawyer(Bina), Banker(Falguni)
Remaining profession: Architect → Eshaan is the Architect

Verification:
✓ Chetan=Doctor at pos 3
✓ Engineer(Divya) at pos 2
✓ Amit second right of Engineer (pos 4)
✓ Banker(Amit) immediately right of Chetan
✓ Bina=Teacher at pos 1 (not adjacent to Chetan)
✓ Lawyer(Falguni) at right extreme (pos 6)
✓ Falguni at extreme end (pos 6)
✓ Eshaan not at extreme end (pos 5)

Answer: Eshaan's profession is Architect.

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 Lawyer, sits at position 3
- The Doctor sits second from the left → position 2
(Which person is the Doctor? Must be Chetan, the only one unassigned here — verified below.)
- Eshaan sits second to the right of the Doctor (pos 2): 2+2 = pos 4 → Eshaan at position 4

Position: _ [Doctor] Divya Eshaan _ _
Profsn: _ Doctor Lawyer _ _ _

Step 3: Apply adjacency and profession constraints
- The Engineer sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Eshaan
∴ Eshaan is the Engineer ✓
- The Banker sits at right extreme → position 6

Position: _ [Doctor] Divya Eshaan _ [law]
Profsn: _ Doctor Lawyer Engineer _ Banker

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Chetan, Amit, Bina, Falguni
The Doctor is at pos2. Which person?
Not Divya(pos3), not Eshaan(pos4). Try each remaining:
Chetan at pos2 → Chetan=Doctor ✓ (no other constraint violated)

Position: _ Chetan Divya Eshaan _ _
Profsn: _ Doctor Lawyer Engineer _ _

Step 5: Place E, D, F
Remaining persons: Bina,Amit,Falguni → positions 1, 5, 6.
- Bina is Teacher and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Bina not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Falguni sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit at pos5.
- Falguni at extreme: pos1 or pos6.
- Banker at pos6. If F=Banker, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Bina and Falguni at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Banker (pos6)? Not Divya(doc), Eshaan(ban), Chetan(eng), Amit(remaining profsn), Bina(tea).
Banker must be Falguni. So Falguni at pos6 = Banker. Bina at pos1 = Teacher ✓ (not adjacent to Divya).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Bina Chetan Divya Eshaan Amit Falguni
Profsn: Teacher Doctor Lawyer Engineer ? Banker

Step 6: Determine Amit's profession
Professions assigned: Lawyer(Divya), Engineer(Eshaan), Doctor(Chetan), Teacher(Bina), Banker(Falguni)
Remaining profession: Architect → Amit is the Architect

Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Chetan) at pos 2
✓ Eshaan second right of Engineer (pos 4)
✓ Banker(Eshaan) immediately right of Divya
✓ Bina=Teacher at pos 1 (not adjacent to Divya)
✓ Lawyer(Falguni) at right extreme (pos 6)
✓ Falguni at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)

Answer: Amit's profession is Architect.

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 Teacher, sits at position 3
- The Lawyer sits second from the left → position 2
(Which person is the Lawyer? Must be Falguni, the only one unassigned here — verified below.)
- Eshaan sits second to the right of the Lawyer (pos 2): 2+2 = pos 4 → Eshaan at position 4

Position: _ [Lawyer] Chetan Eshaan _ _
Profsn: _ Lawyer Teacher _ _ _

Step 3: Apply adjacency and profession constraints
- The Banker sits immediately to the RIGHT of Chetan(pos 3) → pos 4 = Eshaan
∴ Eshaan is the Banker ✓
- The Engineer sits at right extreme → position 6

Position: _ [Lawyer] Chetan Eshaan _ [law]
Profsn: _ Lawyer Teacher Banker _ Engineer

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Falguni, Amit, Divya, Bina
The Lawyer is at pos2. Which person?
Not Chetan(pos3), not Eshaan(pos4). Try each remaining:
Falguni at pos2 → Falguni=Lawyer ✓ (no other constraint violated)

Position: _ Falguni Chetan Eshaan _ _
Profsn: _ Lawyer Teacher Banker _ _

Step 5: Place E, D, F
Remaining persons: Divya,Amit,Bina → positions 1, 5, 6.
- Divya is Doctor and NOT adjacent to Chetan(pos3): adjacent = pos2,pos4.
Divya not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Bina sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit at pos5.
- Bina at extreme: pos1 or pos6.
- Engineer at pos6. If F=Engineer, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Divya and Bina at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Engineer (pos6)? Not Chetan(doc), Eshaan(ban), Falguni(eng), Amit(remaining profsn), Divya(tea).
Engineer must be Bina. So Bina at pos6 = Engineer. Divya at pos1 = Doctor ✓ (not adjacent to Chetan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Divya Falguni Chetan Eshaan Amit Bina
Profsn: Doctor Lawyer Teacher Banker ? Engineer

Step 6: Determine Amit's profession
Professions assigned: Teacher(Chetan), Banker(Eshaan), Lawyer(Falguni), Doctor(Divya), Engineer(Bina)
Remaining profession: Architect → Amit is the Architect

Verification:
✓ Chetan=Doctor at pos 3
✓ Engineer(Falguni) at pos 2
✓ Eshaan second right of Engineer (pos 4)
✓ Banker(Eshaan) immediately right of Chetan
✓ Divya=Teacher at pos 1 (not adjacent to Chetan)
✓ Lawyer(Bina) at right extreme (pos 6)
✓ Bina at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)

Answer: Amit's profession is Architect.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Eshaan is Doctor, sits at position 3
- The Engineer sits second from the left → position 2
(Which person is the Engineer? Must be Falguni, the only one unassigned here — verified below.)
- Chetan sits second to the right of the Engineer (pos 2): 2+2 = pos 4 → Chetan at position 4

Position: _ [Engineer] Eshaan Chetan _ _
Profsn: _ Engineer Doctor _ _ _

Step 3: Apply adjacency and profession constraints
- The Architect sits immediately to the RIGHT of Eshaan(pos 3) → pos 4 = Chetan
∴ Chetan is the Architect ✓
- The Teacher sits at right extreme → position 6

Position: _ [Engineer] Eshaan Chetan _ [law]
Profsn: _ Engineer Doctor Architect _ Teacher

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Falguni, Amit, Divya, Bina
The Engineer is at pos2. Which person?
Not Eshaan(pos3), not Chetan(pos4). Try each remaining:
Falguni at pos2 → Falguni=Engineer ✓ (no other constraint violated)

Position: _ Falguni Eshaan Chetan _ _
Profsn: _ Engineer Doctor Architect _ _

Step 5: Place E, D, F
Remaining persons: Divya,Amit,Bina → positions 1, 5, 6.
- Divya is Banker and NOT adjacent to Eshaan(pos3): adjacent = pos2,pos4.
Divya not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Bina sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit at pos5.
- Bina at extreme: pos1 or pos6.
- Teacher at pos6. If F=Teacher, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Divya and Bina at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Eshaan(doc), Chetan(ban), Falguni(eng), Amit(remaining profsn), Divya(tea).
Teacher must be Bina. So Bina at pos6 = Teacher. Divya at pos1 = Banker ✓ (not adjacent to Eshaan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Divya Falguni Eshaan Chetan Amit Bina
Profsn: Banker Engineer Doctor Architect ? Teacher

Step 6: Determine Amit's profession
Professions assigned: Doctor(Eshaan), Architect(Chetan), Engineer(Falguni), Banker(Divya), Teacher(Bina)
Remaining profession: Lawyer → Amit is the Lawyer

Verification:
✓ Eshaan=Doctor at pos 3
✓ Engineer(Falguni) at pos 2
✓ Chetan second right of Engineer (pos 4)
✓ Banker(Chetan) immediately right of Eshaan
✓ Divya=Teacher at pos 1 (not adjacent to Eshaan)
✓ Lawyer(Bina) at right extreme (pos 6)
✓ Bina at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)

Answer: Amit's profession is Lawyer.

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 Doctor, sits at position 3
- The Lawyer sits second from the left → position 2
(Which person is the Lawyer? Must be Falguni, the only one unassigned here — verified below.)
- Eshaan sits second to the right of the Lawyer (pos 2): 2+2 = pos 4 → Eshaan at position 4

Position: _ [Lawyer] Chetan Eshaan _ _
Profsn: _ Lawyer Doctor _ _ _

Step 3: Apply adjacency and profession constraints
- The Banker sits immediately to the RIGHT of Chetan(pos 3) → pos 4 = Eshaan
∴ Eshaan is the Banker ✓
- The Teacher sits at right extreme → position 6

Position: _ [Lawyer] Chetan Eshaan _ [law]
Profsn: _ Lawyer Doctor Banker _ Teacher

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Falguni, Divya, Bina, Amit
The Lawyer is at pos2. Which person?
Not Chetan(pos3), not Eshaan(pos4). Try each remaining:
Falguni at pos2 → Falguni=Lawyer ✓ (no other constraint violated)

Position: _ Falguni Chetan Eshaan _ _
Profsn: _ Lawyer Doctor Banker _ _

Step 5: Place E, D, F
Remaining persons: Bina,Divya,Amit → positions 1, 5, 6.
- Bina is Engineer and NOT adjacent to Chetan(pos3): adjacent = pos2,pos4.
Bina not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Amit sits at an extreme end: pos1 or pos6.
- Divya is NOT at an extreme end: Divya not at pos1 or pos6 → Divya at pos5.
- Amit at extreme: pos1 or pos6.
- Teacher at pos6. If F=Teacher, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Bina and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Chetan(doc), Eshaan(ban), Falguni(eng), Divya(remaining profsn), Bina(tea).
Teacher must be Amit. So Amit at pos6 = Teacher. Bina at pos1 = Engineer ✓ (not adjacent to Chetan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Bina Falguni Chetan Eshaan Divya Amit
Profsn: Engineer Lawyer Doctor Banker ? Teacher

Step 6: Determine Divya's profession
Professions assigned: Doctor(Chetan), Banker(Eshaan), Lawyer(Falguni), Engineer(Bina), Teacher(Amit)
Remaining profession: Architect → Divya is the Architect

Verification:
✓ Chetan=Doctor at pos 3
✓ Engineer(Falguni) at pos 2
✓ Eshaan second right of Engineer (pos 4)
✓ Banker(Eshaan) immediately right of Chetan
✓ Bina=Teacher at pos 1 (not adjacent to Chetan)
✓ Lawyer(Amit) at right extreme (pos 6)
✓ Amit at extreme end (pos 6)
✓ Divya not at extreme end (pos 5)

Answer: Divya's profession is Architect.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Amit is Architect, sits at position 3
- The Banker sits second from the left → position 2
(Which person is the Banker? Must be Falguni, the only one unassigned here — verified below.)
- Bina sits second to the right of the Banker (pos 2): 2+2 = pos 4 → Bina at position 4

Position: _ [Banker] Amit Bina _ _
Profsn: _ Banker Architect _ _ _

Step 3: Apply adjacency and profession constraints
- The Doctor sits immediately to the RIGHT of Amit(pos 3) → pos 4 = Bina
∴ Bina is the Doctor ✓
- The Engineer sits at right extreme → position 6

Position: _ [Banker] Amit Bina _ [law]
Profsn: _ Banker Architect Doctor _ Engineer

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Falguni, Eshaan, Divya, Chetan
The Banker is at pos2. Which person?
Not Amit(pos3), not Bina(pos4). Try each remaining:
Falguni at pos2 → Falguni=Banker ✓ (no other constraint violated)

Position: _ Falguni Amit Bina _ _
Profsn: _ Banker Architect Doctor _ _

Step 5: Place E, D, F
Remaining persons: Divya,Eshaan,Chetan → positions 1, 5, 6.
- Divya is Teacher and NOT adjacent to Amit(pos3): adjacent = pos2,pos4.
Divya not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Chetan sits at an extreme end: pos1 or pos6.
- Eshaan is NOT at an extreme end: Eshaan not at pos1 or pos6 → Eshaan at pos5.
- Chetan at extreme: pos1 or pos6.
- Engineer at pos6. If F=Engineer, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Divya and Chetan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Engineer (pos6)? Not Amit(doc), Bina(ban), Falguni(eng), Eshaan(remaining profsn), Divya(tea).
Engineer must be Chetan. So Chetan at pos6 = Engineer. Divya at pos1 = Teacher ✓ (not adjacent to Amit).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Divya Falguni Amit Bina Eshaan Chetan
Profsn: Teacher Banker Architect Doctor ? Engineer

Step 6: Determine Eshaan's profession
Professions assigned: Architect(Amit), Doctor(Bina), Banker(Falguni), Teacher(Divya), Engineer(Chetan)
Remaining profession: Lawyer → Eshaan is the Lawyer

Verification:
✓ Amit=Doctor at pos 3
✓ Engineer(Falguni) at pos 2
✓ Bina second right of Engineer (pos 4)
✓ Banker(Bina) immediately right of Amit
✓ Divya=Teacher at pos 1 (not adjacent to Amit)
✓ Lawyer(Chetan) at right extreme (pos 6)
✓ Chetan at extreme end (pos 6)
✓ Eshaan not at extreme end (pos 5)

Answer: Eshaan's profession is Lawyer.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Amit is Doctor, sits at position 3
- The Banker sits second from the left → position 2
(Which person is the Banker? Must be Divya, the only one unassigned here — verified below.)
- Bina sits second to the right of the Banker (pos 2): 2+2 = pos 4 → Bina at position 4

Position: _ [Banker] Amit Bina _ _
Profsn: _ Banker Doctor _ _ _

Step 3: Apply adjacency and profession constraints
- The Teacher sits immediately to the RIGHT of Amit(pos 3) → pos 4 = Bina
∴ Bina is the Teacher ✓
- The Engineer sits at right extreme → position 6

Position: _ [Banker] Amit Bina _ [law]
Profsn: _ Banker Doctor Teacher _ Engineer

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Divya, Eshaan, Chetan, Falguni
The Banker is at pos2. Which person?
Not Amit(pos3), not Bina(pos4). Try each remaining:
Divya at pos2 → Divya=Banker ✓ (no other constraint violated)

Position: _ Divya Amit Bina _ _
Profsn: _ Banker Doctor Teacher _ _

Step 5: Place E, D, F
Remaining persons: Chetan,Eshaan,Falguni → positions 1, 5, 6.
- Chetan is Architect and NOT adjacent to Amit(pos3): adjacent = pos2,pos4.
Chetan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Falguni sits at an extreme end: pos1 or pos6.
- Eshaan is NOT at an extreme end: Eshaan not at pos1 or pos6 → Eshaan at pos5.
- Falguni at extreme: pos1 or pos6.
- Engineer at pos6. If F=Engineer, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Chetan and Falguni at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Engineer (pos6)? Not Amit(doc), Bina(ban), Divya(eng), Eshaan(remaining profsn), Chetan(tea).
Engineer must be Falguni. So Falguni at pos6 = Engineer. Chetan at pos1 = Architect ✓ (not adjacent to Amit).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Chetan Divya Amit Bina Eshaan Falguni
Profsn: Architect Banker Doctor Teacher ? Engineer

Step 6: Determine Eshaan's profession
Professions assigned: Doctor(Amit), Teacher(Bina), Banker(Divya), Architect(Chetan), Engineer(Falguni)
Remaining profession: Lawyer → Eshaan is the Lawyer

Verification:
✓ Amit=Doctor at pos 3
✓ Engineer(Divya) at pos 2
✓ Bina second right of Engineer (pos 4)
✓ Banker(Bina) immediately right of Amit
✓ Chetan=Teacher at pos 1 (not adjacent to Amit)
✓ Lawyer(Falguni) at right extreme (pos 6)
✓ Falguni at extreme end (pos 6)
✓ Eshaan not at extreme end (pos 5)

Answer: Eshaan's profession is Lawyer.

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 Engineer, sits at position 3
- The Doctor sits second from the left → position 2
(Which person is the Doctor? Must be Chetan, 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] Divya Falguni _ _
Profsn: _ Doctor Engineer _ _ _

Step 3: Apply adjacency and profession constraints
- The Teacher sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Falguni
∴ Falguni is the Teacher ✓
- The Lawyer sits at right extreme → position 6

Position: _ [Doctor] Divya Falguni _ [law]
Profsn: _ Doctor Engineer Teacher _ Lawyer

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Chetan, Amit, Bina, Eshaan
The Doctor is at pos2. Which person?
Not Divya(pos3), not Falguni(pos4). Try each remaining:
Chetan at pos2 → Chetan=Doctor ✓ (no other constraint violated)

Position: _ Chetan Divya Falguni _ _
Profsn: _ Doctor Engineer Teacher _ _

Step 5: Place E, D, F
Remaining persons: Bina,Amit,Eshaan → positions 1, 5, 6.
- Bina is Architect and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Bina not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Eshaan sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit 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 Bina and Eshaan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Lawyer (pos6)? Not Divya(doc), Falguni(ban), Chetan(eng), Amit(remaining profsn), Bina(tea).
Lawyer must be Eshaan. So Eshaan at pos6 = Lawyer. Bina at pos1 = Architect ✓ (not adjacent to Divya).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Bina Chetan Divya Falguni Amit Eshaan
Profsn: Architect Doctor Engineer Teacher ? Lawyer

Step 6: Determine Amit's profession
Professions assigned: Engineer(Divya), Teacher(Falguni), Doctor(Chetan), Architect(Bina), Lawyer(Eshaan)
Remaining profession: Banker → Amit is the Banker

Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Chetan) at pos 2
✓ Falguni second right of Engineer (pos 4)
✓ Banker(Falguni) immediately right of Divya
✓ Bina=Teacher at pos 1 (not adjacent to Divya)
✓ Lawyer(Eshaan) at right extreme (pos 6)
✓ Eshaan at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)

Answer: Amit's profession is Banker.

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 Doctor, sits at position 3
- The Engineer sits second from the left → position 2
(Which person is the Engineer? Must be Bina, the only one unassigned here — verified below.)
- Falguni sits second to the right of the Engineer (pos 2): 2+2 = pos 4 → Falguni at position 4

Position: _ [Engineer] Chetan Falguni _ _
Profsn: _ Engineer Doctor _ _ _

Step 3: Apply adjacency and profession constraints
- The Architect sits immediately to the RIGHT of Chetan(pos 3) → pos 4 = Falguni
∴ Falguni is the Architect ✓
- The Banker sits at right extreme → position 6

Position: _ [Engineer] Chetan Falguni _ [law]
Profsn: _ Engineer Doctor Architect _ Banker

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Eshaan, Divya, Amit
The Engineer is at pos2. Which person?
Not Chetan(pos3), not Falguni(pos4). Try each remaining:
Bina at pos2 → Bina=Engineer ✓ (no other constraint violated)

Position: _ Bina Chetan Falguni _ _
Profsn: _ Engineer Doctor Architect _ _

Step 5: Place E, D, F
Remaining persons: Divya,Eshaan,Amit → positions 1, 5, 6.
- Divya is Lawyer and NOT adjacent to Chetan(pos3): adjacent = pos2,pos4.
Divya not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Amit sits at an extreme end: pos1 or pos6.
- Eshaan is NOT at an extreme end: Eshaan not at pos1 or pos6 → Eshaan at pos5.
- Amit at extreme: pos1 or pos6.
- Banker at pos6. If F=Banker, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Divya and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Banker (pos6)? Not Chetan(doc), Falguni(ban), Bina(eng), Eshaan(remaining profsn), Divya(tea).
Banker must be Amit. So Amit at pos6 = Banker. Divya at pos1 = Lawyer ✓ (not adjacent to Chetan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Divya Bina Chetan Falguni Eshaan Amit
Profsn: Lawyer Engineer Doctor Architect ? Banker

Step 6: Determine Eshaan's profession
Professions assigned: Doctor(Chetan), Architect(Falguni), Engineer(Bina), Lawyer(Divya), Banker(Amit)
Remaining profession: Teacher → Eshaan is the Teacher

Verification:
✓ Chetan=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Falguni second right of Engineer (pos 4)
✓ Banker(Falguni) immediately right of Chetan
✓ Divya=Teacher at pos 1 (not adjacent to Chetan)
✓ Lawyer(Amit) at right extreme (pos 6)
✓ Amit at extreme end (pos 6)
✓ Eshaan not at extreme end (pos 5)

Answer: Eshaan's profession is Teacher.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Eshaan is Teacher, sits at position 3
- The Banker sits second from the left → position 2
(Which person is the Banker? Must be Falguni, the only one unassigned here — verified below.)
- Bina sits second to the right of the Banker (pos 2): 2+2 = pos 4 → Bina at position 4

Position: _ [Banker] Eshaan Bina _ _
Profsn: _ Banker Teacher _ _ _

Step 3: Apply adjacency and profession constraints
- The Engineer sits immediately to the RIGHT of Eshaan(pos 3) → pos 4 = Bina
∴ Bina is the Engineer ✓
- The Doctor sits at right extreme → position 6

Position: _ [Banker] Eshaan Bina _ [law]
Profsn: _ Banker Teacher Engineer _ Doctor

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Falguni, Amit, Divya, Chetan
The Banker is at pos2. Which person?
Not Eshaan(pos3), not Bina(pos4). Try each remaining:
Falguni at pos2 → Falguni=Banker ✓ (no other constraint violated)

Position: _ Falguni Eshaan Bina _ _
Profsn: _ Banker Teacher Engineer _ _

Step 5: Place E, D, F
Remaining persons: Divya,Amit,Chetan → positions 1, 5, 6.
- Divya is Lawyer and NOT adjacent to Eshaan(pos3): adjacent = pos2,pos4.
Divya 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.
- Doctor at pos6. If F=Doctor, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Divya and Chetan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Doctor (pos6)? Not Eshaan(doc), Bina(ban), Falguni(eng), Amit(remaining profsn), Divya(tea).
Doctor must be Chetan. So Chetan at pos6 = Doctor. Divya at pos1 = Lawyer ✓ (not adjacent to Eshaan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Divya Falguni Eshaan Bina Amit Chetan
Profsn: Lawyer Banker Teacher Engineer ? Doctor

Step 6: Determine Amit's profession
Professions assigned: Teacher(Eshaan), Engineer(Bina), Banker(Falguni), Lawyer(Divya), Doctor(Chetan)
Remaining profession: Architect → Amit is the Architect

Verification:
✓ Eshaan=Doctor at pos 3
✓ Engineer(Falguni) at pos 2
✓ Bina second right of Engineer (pos 4)
✓ Banker(Bina) immediately right of Eshaan
✓ Divya=Teacher at pos 1 (not adjacent to Eshaan)
✓ 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 Architect.

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 Teacher, sits at position 3
- The Doctor sits second from the left → position 2
(Which person is the Doctor? Must be Bina, the only one unassigned here — verified below.)
- Eshaan sits second to the right of the Doctor (pos 2): 2+2 = pos 4 → Eshaan at position 4

Position: _ [Doctor] Divya Eshaan _ _
Profsn: _ Doctor Teacher _ _ _

Step 3: Apply adjacency and profession constraints
- The Engineer sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Eshaan
∴ Eshaan is the Engineer ✓
- The Banker sits at right extreme → position 6

Position: _ [Doctor] Divya Eshaan _ [law]
Profsn: _ Doctor Teacher Engineer _ Banker

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Chetan, Falguni, Amit
The Doctor is at pos2. Which person?
Not Divya(pos3), not Eshaan(pos4). Try each remaining:
Bina at pos2 → Bina=Doctor ✓ (no other constraint violated)

Position: _ Bina Divya Eshaan _ _
Profsn: _ Doctor Teacher Engineer _ _

Step 5: Place E, D, F
Remaining persons: Falguni,Chetan,Amit → positions 1, 5, 6.
- Falguni is Lawyer and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Falguni not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Amit sits at an extreme end: pos1 or pos6.
- Chetan is NOT at an extreme end: Chetan not at pos1 or pos6 → Chetan at pos5.
- Amit at extreme: pos1 or pos6.
- Banker at pos6. If F=Banker, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Falguni and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Banker (pos6)? Not Divya(doc), Eshaan(ban), Bina(eng), Chetan(remaining profsn), Falguni(tea).
Banker must be Amit. So Amit at pos6 = Banker. Falguni at pos1 = Lawyer ✓ (not adjacent to Divya).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Falguni Bina Divya Eshaan Chetan Amit
Profsn: Lawyer Doctor Teacher Engineer ? Banker

Step 6: Determine Chetan's profession
Professions assigned: Teacher(Divya), Engineer(Eshaan), Doctor(Bina), Lawyer(Falguni), Banker(Amit)
Remaining profession: Architect → Chetan is the Architect

Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Eshaan second right of Engineer (pos 4)
✓ Banker(Eshaan) immediately right of Divya
✓ Falguni=Teacher at pos 1 (not adjacent to Divya)
✓ Lawyer(Amit) at right extreme (pos 6)
✓ Amit at extreme end (pos 6)
✓ Chetan not at extreme end (pos 5)

Answer: Chetan's profession is Architect.

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 Doctor, sits at position 3
- The Lawyer sits second from the left → position 2
(Which person is the Lawyer? Must be Amit, the only one unassigned here — verified below.)
- Chetan sits second to the right of the Lawyer (pos 2): 2+2 = pos 4 → Chetan at position 4

Position: _ [Lawyer] Divya Chetan _ _
Profsn: _ Lawyer Doctor _ _ _

Step 3: Apply adjacency and profession constraints
- The Teacher sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Chetan
∴ Chetan is the Teacher ✓
- The Architect sits at right extreme → position 6

Position: _ [Lawyer] Divya Chetan _ [law]
Profsn: _ Lawyer Doctor Teacher _ Architect

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Amit, Falguni, Eshaan, Bina
The Lawyer is at pos2. Which person?
Not Divya(pos3), not Chetan(pos4). Try each remaining:
Amit at pos2 → Amit=Lawyer ✓ (no other constraint violated)

Position: _ Amit Divya Chetan _ _
Profsn: _ Lawyer Doctor Teacher _ _

Step 5: Place E, D, F
Remaining persons: Eshaan,Falguni,Bina → positions 1, 5, 6.
- Eshaan is Engineer and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Eshaan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Bina sits at an extreme end: pos1 or pos6.
- Falguni is NOT at an extreme end: Falguni not at pos1 or pos6 → Falguni at pos5.
- Bina at extreme: pos1 or pos6.
- Architect at pos6. If F=Architect, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Eshaan and Bina at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Architect (pos6)? Not Divya(doc), Chetan(ban), Amit(eng), Falguni(remaining profsn), Eshaan(tea).
Architect must be Bina. So Bina at pos6 = Architect. Eshaan at pos1 = Engineer ✓ (not adjacent to Divya).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Eshaan Amit Divya Chetan Falguni Bina
Profsn: Engineer Lawyer Doctor Teacher ? Architect

Step 6: Determine Falguni's profession
Professions assigned: Doctor(Divya), Teacher(Chetan), Lawyer(Amit), Engineer(Eshaan), Architect(Bina)
Remaining profession: Banker → Falguni is the Banker

Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Amit) at pos 2
✓ Chetan second right of Engineer (pos 4)
✓ Banker(Chetan) immediately right of Divya
✓ Eshaan=Teacher at pos 1 (not adjacent to Divya)
✓ Lawyer(Bina) at right extreme (pos 6)
✓ Bina at extreme end (pos 6)
✓ Falguni not at extreme end (pos 5)

Answer: Falguni's profession is Banker.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Falguni is Lawyer, 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.)
- Chetan sits second to the right of the Teacher (pos 2): 2+2 = pos 4 → Chetan at position 4

Position: _ [Teacher] Falguni Chetan _ _
Profsn: _ Teacher Lawyer _ _ _

Step 3: Apply adjacency and profession constraints
- The Engineer sits immediately to the RIGHT of Falguni(pos 3) → pos 4 = Chetan
∴ Chetan is the Engineer ✓
- The Banker sits at right extreme → position 6

Position: _ [Teacher] Falguni Chetan _ [law]
Profsn: _ Teacher Lawyer Engineer _ Banker

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Amit, Bina, Eshaan, Divya
The Teacher is at pos2. Which person?
Not Falguni(pos3), not Chetan(pos4). Try each remaining:
Amit at pos2 → Amit=Teacher ✓ (no other constraint violated)

Position: _ Amit Falguni Chetan _ _
Profsn: _ Teacher Lawyer Engineer _ _

Step 5: Place E, D, F
Remaining persons: Eshaan,Bina,Divya → positions 1, 5, 6.
- Eshaan is Architect and NOT adjacent to Falguni(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.
- Bina is NOT at an extreme end: Bina not at pos1 or pos6 → Bina at pos5.
- Divya at extreme: pos1 or pos6.
- Banker at pos6. If F=Banker, 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 Banker (pos6)? Not Falguni(doc), Chetan(ban), Amit(eng), Bina(remaining profsn), Eshaan(tea).
Banker must be Divya. So Divya at pos6 = Banker. Eshaan at pos1 = Architect ✓ (not adjacent to Falguni).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Eshaan Amit Falguni Chetan Bina Divya
Profsn: Architect Teacher Lawyer Engineer ? Banker

Step 6: Determine Bina's profession
Professions assigned: Lawyer(Falguni), Engineer(Chetan), Teacher(Amit), Architect(Eshaan), Banker(Divya)
Remaining profession: Doctor → Bina is the Doctor

Verification:
✓ Falguni=Doctor at pos 3
✓ Engineer(Amit) at pos 2
✓ Chetan second right of Engineer (pos 4)
✓ Banker(Chetan) immediately right of Falguni
✓ Eshaan=Teacher at pos 1 (not adjacent to Falguni)
✓ Lawyer(Divya) at right extreme (pos 6)
✓ Divya at extreme end (pos 6)
✓ Bina not at extreme end (pos 5)

Answer: Bina's profession is Doctor.

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 Engineer, sits at position 3
- The Lawyer sits second from the left → position 2
(Which person is the Lawyer? Must be Amit, the only one unassigned here — verified below.)
- Falguni sits second to the right of the Lawyer (pos 2): 2+2 = pos 4 → Falguni at position 4

Position: _ [Lawyer] Bina Falguni _ _
Profsn: _ Lawyer Engineer _ _ _

Step 3: Apply adjacency and profession constraints
- The Doctor sits immediately to the RIGHT of Bina(pos 3) → pos 4 = Falguni
∴ Falguni is the Doctor ✓
- The Teacher sits at right extreme → position 6

Position: _ [Lawyer] Bina Falguni _ [law]
Profsn: _ Lawyer Engineer Doctor _ Teacher

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Amit, Divya, Chetan, Eshaan
The Lawyer is at pos2. Which person?
Not Bina(pos3), not Falguni(pos4). Try each remaining:
Amit at pos2 → Amit=Lawyer ✓ (no other constraint violated)

Position: _ Amit Bina Falguni _ _
Profsn: _ Lawyer Engineer Doctor _ _

Step 5: Place E, D, F
Remaining persons: Chetan,Divya,Eshaan → positions 1, 5, 6.
- Chetan is Banker and NOT adjacent to Bina(pos3): adjacent = pos2,pos4.
Chetan 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.
- Teacher at pos6. If F=Teacher, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Chetan and Eshaan at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Bina(doc), Falguni(ban), Amit(eng), Divya(remaining profsn), Chetan(tea).
Teacher must be Eshaan. So Eshaan at pos6 = Teacher. Chetan at pos1 = Banker ✓ (not adjacent to Bina).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Chetan Amit Bina Falguni Divya Eshaan
Profsn: Banker Lawyer Engineer Doctor ? Teacher

Step 6: Determine Divya's profession
Professions assigned: Engineer(Bina), Doctor(Falguni), Lawyer(Amit), Banker(Chetan), Teacher(Eshaan)
Remaining profession: Architect → Divya is the Architect

Verification:
✓ Bina=Doctor at pos 3
✓ Engineer(Amit) at pos 2
✓ Falguni second right of Engineer (pos 4)
✓ Banker(Falguni) immediately right of Bina
✓ Chetan=Teacher at pos 1 (not adjacent to Bina)
✓ 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 Architect.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Falguni is Doctor, sits at position 3
- The Teacher sits second from the left → position 2
(Which person is the Teacher? Must be Chetan, the only one unassigned here — verified below.)
- Divya sits second to the right of the Teacher (pos 2): 2+2 = pos 4 → Divya at position 4

Position: _ [Teacher] Falguni Divya _ _
Profsn: _ Teacher Doctor _ _ _

Step 3: Apply adjacency and profession constraints
- The Engineer sits immediately to the RIGHT of Falguni(pos 3) → pos 4 = Divya
∴ Divya is the Engineer ✓
- The Banker sits at right extreme → position 6

Position: _ [Teacher] Falguni Divya _ [law]
Profsn: _ Teacher Doctor Engineer _ Banker

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Chetan, Amit, Eshaan, Bina
The Teacher is at pos2. Which person?
Not Falguni(pos3), not Divya(pos4). Try each remaining:
Chetan at pos2 → Chetan=Teacher ✓ (no other constraint violated)

Position: _ Chetan Falguni Divya _ _
Profsn: _ Teacher Doctor Engineer _ _

Step 5: Place E, D, F
Remaining persons: Eshaan,Amit,Bina → positions 1, 5, 6.
- Eshaan is Architect and NOT adjacent to Falguni(pos3): adjacent = pos2,pos4.
Eshaan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Bina sits at an extreme end: pos1 or pos6.
- Amit is NOT at an extreme end: Amit not at pos1 or pos6 → Amit at pos5.
- Bina at extreme: pos1 or pos6.
- Banker at pos6. If F=Banker, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Eshaan and Bina at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Banker (pos6)? Not Falguni(doc), Divya(ban), Chetan(eng), Amit(remaining profsn), Eshaan(tea).
Banker must be Bina. So Bina at pos6 = Banker. Eshaan at pos1 = Architect ✓ (not adjacent to Falguni).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Eshaan Chetan Falguni Divya Amit Bina
Profsn: Architect Teacher Doctor Engineer ? Banker

Step 6: Determine Amit's profession
Professions assigned: Doctor(Falguni), Engineer(Divya), Teacher(Chetan), Architect(Eshaan), Banker(Bina)
Remaining profession: Lawyer → Amit is the Lawyer

Verification:
✓ Falguni=Doctor at pos 3
✓ Engineer(Chetan) at pos 2
✓ Divya second right of Engineer (pos 4)
✓ Banker(Divya) immediately right of Falguni
✓ Eshaan=Teacher at pos 1 (not adjacent to Falguni)
✓ Lawyer(Bina) at right extreme (pos 6)
✓ Bina at extreme end (pos 6)
✓ Amit not at extreme end (pos 5)

Answer: Amit's profession is Lawyer.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Falguni is Banker, sits at position 3
- The Engineer sits second from the left → position 2
(Which person is the Engineer? Must be Bina, the only one unassigned here — verified below.)
- Eshaan sits second to the right of the Engineer (pos 2): 2+2 = pos 4 → Eshaan at position 4

Position: _ [Engineer] Falguni Eshaan _ _
Profsn: _ Engineer Banker _ _ _

Step 3: Apply adjacency and profession constraints
- The Teacher sits immediately to the RIGHT of Falguni(pos 3) → pos 4 = Eshaan
∴ Eshaan is the Teacher ✓
- The Architect sits at right extreme → position 6

Position: _ [Engineer] Falguni Eshaan _ [law]
Profsn: _ Engineer Banker Teacher _ Architect

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Divya, Chetan, Amit
The Engineer is at pos2. Which person?
Not Falguni(pos3), not Eshaan(pos4). Try each remaining:
Bina at pos2 → Bina=Engineer ✓ (no other constraint violated)

Position: _ Bina Falguni Eshaan _ _
Profsn: _ Engineer Banker Teacher _ _

Step 5: Place E, D, F
Remaining persons: Chetan,Divya,Amit → positions 1, 5, 6.
- Chetan is Lawyer and NOT adjacent to Falguni(pos3): adjacent = pos2,pos4.
Chetan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Amit sits at an extreme end: pos1 or pos6.
- Divya is NOT at an extreme end: Divya not at pos1 or pos6 → Divya at pos5.
- Amit at extreme: pos1 or pos6.
- Architect at pos6. If F=Architect, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Chetan and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Architect (pos6)? Not Falguni(doc), Eshaan(ban), Bina(eng), Divya(remaining profsn), Chetan(tea).
Architect must be Amit. So Amit at pos6 = Architect. Chetan at pos1 = Lawyer ✓ (not adjacent to Falguni).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Chetan Bina Falguni Eshaan Divya Amit
Profsn: Lawyer Engineer Banker Teacher ? Architect

Step 6: Determine Divya's profession
Professions assigned: Banker(Falguni), Teacher(Eshaan), Engineer(Bina), Lawyer(Chetan), Architect(Amit)
Remaining profession: Doctor → Divya is the Doctor

Verification:
✓ Falguni=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Eshaan second right of Engineer (pos 4)
✓ Banker(Eshaan) immediately right of Falguni
✓ Chetan=Teacher at pos 1 (not adjacent to Falguni)
✓ Lawyer(Amit) at right extreme (pos 6)
✓ Amit at extreme end (pos 6)
✓ Divya not at extreme end (pos 5)

Answer: Divya's profession is Doctor.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Eshaan is Teacher, 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] Eshaan Falguni _ _
Profsn: _ Banker Teacher _ _ _

Step 3: Apply adjacency and profession constraints
- The Doctor sits immediately to the RIGHT of Eshaan(pos 3) → pos 4 = Falguni
∴ Falguni is the Doctor ✓
- The Architect sits at right extreme → position 6

Position: _ [Banker] Eshaan Falguni _ [law]
Profsn: _ Banker Teacher Doctor _ Architect

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Divya, Chetan, Amit
The Banker is at pos2. Which person?
Not Eshaan(pos3), not Falguni(pos4). Try each remaining:
Bina at pos2 → Bina=Banker ✓ (no other constraint violated)

Position: _ Bina Eshaan Falguni _ _
Profsn: _ Banker Teacher Doctor _ _

Step 5: Place E, D, F
Remaining persons: Chetan,Divya,Amit → positions 1, 5, 6.
- Chetan is Lawyer and NOT adjacent to Eshaan(pos3): adjacent = pos2,pos4.
Chetan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Amit sits at an extreme end: pos1 or pos6.
- Divya is NOT at an extreme end: Divya not at pos1 or pos6 → Divya at pos5.
- Amit at extreme: pos1 or pos6.
- Architect at pos6. If F=Architect, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Chetan and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Architect (pos6)? Not Eshaan(doc), Falguni(ban), Bina(eng), Divya(remaining profsn), Chetan(tea).
Architect must be Amit. So Amit at pos6 = Architect. Chetan at pos1 = Lawyer ✓ (not adjacent to Eshaan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Chetan Bina Eshaan Falguni Divya Amit
Profsn: Lawyer Banker Teacher Doctor ? Architect

Step 6: Determine Divya's profession
Professions assigned: Teacher(Eshaan), Doctor(Falguni), Banker(Bina), Lawyer(Chetan), Architect(Amit)
Remaining profession: Engineer → Divya is the Engineer

Verification:
✓ Eshaan=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Falguni second right of Engineer (pos 4)
✓ Banker(Falguni) immediately right of Eshaan
✓ Chetan=Teacher at pos 1 (not adjacent to Eshaan)
✓ Lawyer(Amit) at right extreme (pos 6)
✓ Amit at extreme end (pos 6)
✓ Divya not at extreme end (pos 5)

Answer: Divya's profession is Engineer.

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 Banker, sits at position 3
- The Teacher sits second from the left → position 2
(Which person is the Teacher? Must be Chetan, the only one unassigned here — verified below.)
- Falguni sits second to the right of the Teacher (pos 2): 2+2 = pos 4 → Falguni at position 4

Position: _ [Teacher] Divya Falguni _ _
Profsn: _ Teacher Banker _ _ _

Step 3: Apply adjacency and profession constraints
- The Lawyer sits immediately to the RIGHT of Divya(pos 3) → pos 4 = Falguni
∴ Falguni is the Lawyer ✓
- The Architect sits at right extreme → position 6

Position: _ [Teacher] Divya Falguni _ [law]
Profsn: _ Teacher Banker Lawyer _ Architect

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Chetan, Bina, Eshaan, Amit
The Teacher is at pos2. Which person?
Not Divya(pos3), not Falguni(pos4). Try each remaining:
Chetan at pos2 → Chetan=Teacher ✓ (no other constraint violated)

Position: _ Chetan Divya Falguni _ _
Profsn: _ Teacher Banker Lawyer _ _

Step 5: Place E, D, F
Remaining persons: Eshaan,Bina,Amit → positions 1, 5, 6.
- Eshaan is Engineer and NOT adjacent to Divya(pos3): adjacent = pos2,pos4.
Eshaan not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Amit sits at an extreme end: pos1 or pos6.
- Bina is NOT at an extreme end: Bina not at pos1 or pos6 → Bina at pos5.
- Amit at extreme: pos1 or pos6.
- Architect at pos6. If F=Architect, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Eshaan and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Architect (pos6)? Not Divya(doc), Falguni(ban), Chetan(eng), Bina(remaining profsn), Eshaan(tea).
Architect must be Amit. So Amit at pos6 = Architect. Eshaan at pos1 = Engineer ✓ (not adjacent to Divya).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Eshaan Chetan Divya Falguni Bina Amit
Profsn: Engineer Teacher Banker Lawyer ? Architect

Step 6: Determine Bina's profession
Professions assigned: Banker(Divya), Lawyer(Falguni), Teacher(Chetan), Engineer(Eshaan), Architect(Amit)
Remaining profession: Doctor → Bina is the Doctor

Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Chetan) 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(Amit) at right extreme (pos 6)
✓ Amit at extreme end (pos 6)
✓ Bina not at extreme end (pos 5)

Answer: Bina's profession is Doctor.

Solution Approach:

Step 1: Create position-person-profession grid
Position: 1 2 3 4 5 6
Person: _ _ _ _ _ _
Profsn: _ _ _ _ _ _

Step 2: Apply direct conditions
- Eshaan is Lawyer, sits at position 3
- The Architect sits second from the left → position 2
(Which person is the Architect? Must be Bina, the only one unassigned here — verified below.)
- Chetan sits second to the right of the Architect (pos 2): 2+2 = pos 4 → Chetan at position 4

Position: _ [Architect] Eshaan Chetan _ _
Profsn: _ Architect Lawyer _ _ _

Step 3: Apply adjacency and profession constraints
- The Doctor sits immediately to the RIGHT of Eshaan(pos 3) → pos 4 = Chetan
∴ Chetan is the Doctor ✓
- The Teacher sits at right extreme → position 6

Position: _ [Architect] Eshaan Chetan _ [law]
Profsn: _ Architect Lawyer Doctor _ Teacher

Step 4: Identify the Engineer
Persons left for pos1,2,5,6: Bina, Divya, Amit, Falguni
The Architect is at pos2. Which person?
Not Eshaan(pos3), not Chetan(pos4). Try each remaining:
Bina at pos2 → Bina=Architect ✓ (no other constraint violated)

Position: _ Bina Eshaan Chetan _ _
Profsn: _ Architect Lawyer Doctor _ _

Step 5: Place E, D, F
Remaining persons: Amit,Divya,Falguni → positions 1, 5, 6.
- Amit is Engineer and NOT adjacent to Eshaan(pos3): adjacent = pos2,pos4.
Amit not at pos2(taken) or pos4(taken). Remaining: pos1, pos5, pos6. All satisfy adjacency ✓.
- Falguni sits at an extreme end: pos1 or pos6.
- Divya is NOT at an extreme end: Divya not at pos1 or pos6 → Divya at pos5.
- Falguni at extreme: pos1 or pos6.
- Teacher at pos6. If F=Teacher, F at pos6. Otherwise F at pos1.
After placing D=pos5: remaining Amit and Falguni at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Eshaan(doc), Chetan(ban), Bina(eng), Divya(remaining profsn), Amit(tea).
Teacher must be Falguni. So Falguni at pos6 = Teacher. Amit at pos1 = Engineer ✓ (not adjacent to Eshaan).

Final Arrangement:
Position: 1 2 3 4 5 6
Person: Amit Bina Eshaan Chetan Divya Falguni
Profsn: Engineer Architect Lawyer Doctor ? Teacher

Step 6: Determine Divya's profession
Professions assigned: Lawyer(Eshaan), Doctor(Chetan), Architect(Bina), Engineer(Amit), Teacher(Falguni)
Remaining profession: Banker → Divya is the Banker

Verification:
✓ Eshaan=Doctor at pos 3
✓ Engineer(Bina) at pos 2
✓ Chetan second right of Engineer (pos 4)
✓ Banker(Chetan) immediately right of Eshaan
✓ Amit=Teacher at pos 1 (not adjacent to Eshaan)
✓ Lawyer(Falguni) at right extreme (pos 6)
✓ Falguni at extreme end (pos 6)
✓ Divya not at extreme end (pos 5)

Answer: Divya's profession is Banker.