Seating Arrangement - Intermediate Level: circular arrangements INTERMEDIATE

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 Architect sits second from the left → position 2
(Which person is the Architect? Must be Eshaan, 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] Falguni Chetan _ _
Profsn: _ Architect Banker _ _ _

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

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

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

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

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

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

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

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

Answer: Amit'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 Lawyer, sits at position 3
- The Banker sits second from the left → position 2
(Which person is the Banker? Must be Chetan, 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] Divya Bina _ _
Profsn: _ Banker Lawyer _ _ _

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

Position: _ [Banker] Divya Bina _ [law]
Profsn: _ Banker Lawyer Doctor _ Teacher

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

Position: _ Chetan Divya Bina _ _
Profsn: _ Banker Lawyer Doctor _ _

Step 5: Place E, D, F
Remaining persons: Eshaan,Falguni,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.
- Falguni is NOT at an extreme end: Falguni not at pos1 or pos6 → Falguni 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 Eshaan and Amit at pos1 and pos6.
F at extreme → F at pos1 or pos6 (both extreme).
Who is the Teacher (pos6)? Not Divya(doc), Bina(ban), Chetan(eng), Falguni(remaining profsn), Eshaan(tea).
Teacher must be Amit. So Amit at pos6 = Teacher. Eshaan at pos1 = Engineer ✓ (not adjacent to Divya).

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

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

Verification:
✓ Divya=Doctor at pos 3
✓ Engineer(Chetan) at pos 2
✓ Bina second right of Engineer (pos 4)
✓ Banker(Bina) 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)
✓ Falguni not at extreme end (pos 5)

Answer: Falguni's profession is Architect.

Solution Approach:

Step 1: Apply the fixed condition
- Z sits second from the left → Z at position 2 (fixed)

Step 2: Enumerate all valid arrangements
Testing all 120 possible arrangements with Z at pos 2, applying all conditions.
7 valid arrangement(s) found.

Valid arrangement(s):
• Y Z X W V
• Y Z X V W
• X Z V W Y
• W Z Y X V
• V Z Y X W
• V Z X Y W
(shown up to 6)

Step 3: Test each MCQ option

- "Y sits at position 1": ✓ Possible in at least one valid arrangement
- "W sits at position 1": ✓ Possible in at least one valid arrangement
- "Y sits at position 2": ✗ NEVER possible → must be FALSE
- "X sits at position 1": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"Y sits at position 2" is impossible in ALL 7 valid arrangement(s) — it must be FALSE.
All other options occur in at least one valid arrangement.

Answer: "Y sits at position 2" must be FALSE.

Solution Approach:

Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.

Step 2: Place definite positions
- Fix B at position 1 (reference point)
- B is second to the LEFT of F → F is 2 clockwise from B
pos[F] = 3
- D sits OPPOSITE B (pos 1) → pos 4
- C sits immediately to the right of D (pos 4) → pos 5

Step 3: Resolve remaining positions
Remaining persons: A, E → remaining seats: [2, 6]
A is NOT adjacent to C (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore A → pos 2, and E → pos 6.

Final Arrangement (clockwise):
pos1:B → pos2:A → pos3:F → pos4:D → pos5:C → pos6:E
(All facing center)

Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6

F is at pos 3 → opposite = pos 6 = E

Answer: E sits opposite to F.

Solution Approach:

Step 1: Mark total positions
Seats: 1 2 3 4 5 6 7 8 9 10
Total: 10 seats, 8 persons, 2 empty.

Step 2: Place definite positions
- A at seat 3
- D at seat 8 (seat 8)
- One empty seat at extreme end → seat 1 is empty

Seat: 1(_) 2(_) 3(A) 4(_) 5(_) 6(_) 7(_) 8(D) 9(_) 10(_)

Step 3: Apply empty seat adjacency
- C sits immediately to the RIGHT of an empty seat
- Empty at seat 1 → seat 2 = C ✓

Seat: 1(_) 2(C) 3(A) 4(_) 5(_) 6(_) 7(_) 8(D) 9(_) 10(_)

Step 4: Apply "fourth to the left" condition
- G sits fourth to the LEFT of D (seat 8)
- Fourth to left: 8 → 7 → 6 → 5 → 4
- G at seat 4 ✓

Seat: 1(_) 2(C) 3(A) 4(G) 5(_) 6(_) 7(_) 8(D) 9(_) 10(_)

Step 5: Locate second empty seat
Remaining persons: H, F, E, B → fill seats 5, 6, 7, 9, 10 minus one empty.
After placing H(5), F(6), E(7), B(10): seat 9 is empty.

Step 6: Final arrangement
Seat: 1(_) 2(C) 3(A) 4(G) 5(H) 6(F) 7(E) 8(D) 9(_) 10(B)

Count persons between empty seats (seat 1 and seat 9):
Seats 2 through 8: C, A, G, H, F, E, D = 7 persons

Verification:
✓ A at seat 3
✓ D at seat 8
✓ Empty at seat 1 (extreme end)
✓ C immediately right of empty seat 1
✓ G fourth to left of D (seat 4 = seat 8 - 4)

Answer: 7 persons sit between the two empty seats.

Solution Approach:

Step 1: Understanding facing South
When persons face South:
- Their right hand points West (viewer's LEFT) — "right" in the question = lower position number
- Viewer's "right" (higher position) = person's left side

Step 2: Set up diagram (viewer's perspective)
Position: 1(left) 2 3 4 5(right)

Step 3: Apply conditions
- Q at the right extreme end → Position 5
- R sits second to the right of S:
South-facing right = viewer's left = lower position: pos[R] = pos[S] - 2
Possible: S=3→R=1, or S=4→R=2
- T sits immediately to the right of S (viewer's right = higher pos): pos[T] = pos[S] + 1
If S=3 → T=4 ✓ (pos 4 free)
If S=4 → T=5 = Q ✗ (conflict)
∴ S=3, R=1, T=4

Position: R _ S T Q

Step 4: Apply constraint
- P not adjacent to Q (pos 5): P ≠ pos 4 (taken by T) → P at pos 2 ✓

Final Arrangement (all facing South ↓):
Position: R P S T Q

Verification:
✓ Q at right extreme end (pos 5)
✓ R second to right of S: pos[R](=1)-2 = 3 = pos[S] (south-facing right=lower)
✓ T immediately right of S (viewer right): pos 3+1 = 4
✓ P not adjacent to Q (pos 2, not pos 4)

Answer: R sits at the left extreme end (position 1).

Solution Approach:

Step 1: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.

Step 2: Place definite positions
- Fix C at position 1 (reference point)
- C is second to the LEFT of F → F is 2 clockwise from C
pos[F] = 3
- B sits OPPOSITE C (pos 1) → pos 4
- A sits immediately to the right of B (pos 4) → pos 5

Step 3: Resolve remaining positions
Remaining persons: E, D → remaining seats: [2, 6]
E is NOT adjacent to A (pos 5).
Adjacent to pos 5: pos 4 and pos 6.
Therefore E → pos 2, and D → pos 6.

Final Arrangement (clockwise):
pos1:C → pos2:E → pos3:F → pos4:B → pos5:A → pos6:D
(All facing center)

Opposite pairs: pos1↔pos4, pos2↔pos5, pos3↔pos6

F is at pos 3 → opposite = pos 6 = D

Answer: D sits opposite to F.

Solution Approach:

Step 1: Understanding facing outward
When facing outward (away from center):
- LEFT = CLOCKWISE direction
- RIGHT = ANTI-CLOCKWISE direction
- Opposite positions are still n/2 = 3 seats apart.

Step 2: Draw diagram (positions 1–6 clockwise)

Step 3: Apply conditions
- Fix N at position 1.
- O sits second to the LEFT of N: left(outward)=CW, so O is 2 CW from N.
pos[O] = 3
- M sits opposite O (pos 3): pos 6
- K sits immediately to the RIGHT of M (pos 6):
right(outward)=anti-CW → pos 5
- L sits opposite N (pos 1): pos 4
- Remaining P fills pos 2.

Final Arrangement (clockwise):
pos1:N → pos2:P → pos3:O → pos4:L → pos5:K → pos6:M
(All facing outward ↗)

Find immediate left of O (pos 3):
Left (outward) = clockwise → pos 4 = L

Verification:
✓ O second to left of N (CW direction)
✓ M opposite O
✓ K immediately right (anti-CW) of M
✓ L opposite N

Answer: L sits immediately to the left of O.

Solution Approach:

Step 1: Draw the double row setup
Row 1 faces South (↓), Row 2 faces North (↑)
Person at position i in Row 1 faces person at position i in Row 2.

Position: 1 2 3 4 5
Row 1 (↓): _ _ _ _ _
Row 2 (↑): _ _ _ _ _

Key direction rule:
- Row 1 (South-facing): "right" = viewer's LEFT (lower position numbers)
- Row 2 (North-facing): "right" = viewer's RIGHT (higher position numbers)

Step 2: Place Row 1 persons
- A sits 4th from the left end of Row 1 → Row 1, pos 4
- C sits at an extreme end: pos 1 or pos 5
- E sits second to the RIGHT of C (south-facing → lower position):
pos[E] = pos[C] - 2
If C at pos 1 → pos[E] = -1 (invalid ✗)
If C at pos 5 → pos[E] = 3 ✓ (pos 3 is free)
∴ C at pos 5, E at pos 3 ✓

Row 1: _ _ E A C
Remaining D,B at pos 1 and 2 (either order — pinned next).

Step 3: Place Row 2 persons
- R faces A (pos 4) → R at Row 2, pos 4
- Q sits second to the LEFT of R (north-facing → lower position):
pos[Q] = pos[R] - 2 = 2 → Q at Row 2 pos 2 ✓
- P sits at extreme end of Row 2: pos 1 or pos 5
- T is NOT adjacent to R (pos 4): adjacent = pos 3 and pos 5
So T ≠ pos 3 and T ≠ pos 5
Remaining positions for P,S,T: pos 1, pos 3, pos 5
T not at pos 3 or pos 5 → T at pos 1
P at extreme → pos 5 (since pos 1 is T) ✓
S fills pos 3 ✓

Row 2: T Q S R P

Final Arrangement:
Position: 1 2 3 4 5
Row 1 (↓): D/B D/B E A C
Row 2 (↑): T Q S R P

Find who faces E:
E is at Row 1, position 3.
Person at Row 2, position 3 = S

Answer: S faces E.

Solution Approach:

Step 1: Understanding facing outward
When facing outward (away from center):
- LEFT = CLOCKWISE direction
- RIGHT = ANTI-CLOCKWISE direction
- Opposite positions are still n/2 = 3 seats apart.

Step 2: Draw diagram (positions 1–6 clockwise)

Step 3: Apply conditions
- Fix K at position 1.
- L sits second to the LEFT of K: left(outward)=CW, so L is 2 CW from K.
pos[L] = 3
- N sits opposite L (pos 3): pos 6
- P sits immediately to the RIGHT of N (pos 6):
right(outward)=anti-CW → pos 5
- O sits opposite K (pos 1): pos 4
- Remaining M fills pos 2.

Final Arrangement (clockwise):
pos1:K → pos2:M → pos3:L → pos4:O → pos5:P → pos6:N
(All facing outward ↗)

Find immediate left of L (pos 3):
Left (outward) = clockwise → pos 4 = O

Verification:
✓ L second to left of K (CW direction)
✓ N opposite L
✓ P immediately right (anti-CW) of N
✓ O opposite K

Answer: O sits immediately to the left of L.

Solution Approach:

Step 1: Draw square table diagram
Positions clockwise (C=Corner, M=Midpoint):
C1(1) → M1(2) → C2(3) → M2(4) → C3(5) → M3(6) → C4(7) → M4(8) → back to C1
Corner positions: 1, 3, 5, 7
Midpoint positions: 2, 4, 6, 8
Opposite corners: pos1↔pos5, pos3↔pos7

Step 2: Place persons systematically
- F sits at a corner → pos 1
- B sits second to the RIGHT of F: right(center-facing)=CW
2 CW from pos 1 → pos 3 ✓ (corner)
- H sits OPPOSITE F (pos 1) → pos 5 ✓
- G at midpoint, NOT adjacent to F(pos 1):
Adjacent to pos 1: pos 8 and pos 2
G → pos 6 (midpoint, not adjacent) ✓
- A sits at corner immediately to the RIGHT of G(pos 6):
1 CW from pos 6 → pos 7 (corner) ✓

Step 3: Remaining persons
Remaining: E, D, C
Fill remaining seats: pos2=E, pos8=D, pos4=C

Final Arrangement (clockwise):
pos1:F → pos2:E → pos3:B → pos4:C → pos5:H → pos6:G → pos7:A → pos8:D

Step 4: Count from LEFT of F to H
Left = anti-clockwise direction from F(pos 1):
pos1(F) → pos8(D) → pos7(A) → pos6(G) → pos5(H)
Persons between (excluding F and H): pos8(D), pos7(A), pos6(G)
Count = 3 person(s)

Answer: Three person(s) sit between F and H.

Solution Approach:

Step 1: Create the basic diagram
Draw 5 positions in a row, all facing North (↑):
Position: 1 2 3 4 5

Step 2: Apply direct conditions
- C sits at one extreme end → Place C at position 1
- D sits second to the right of C → D at position 3
- B sits immediately to the left of D → B at position 2

Position: C B D _ _

Step 3: Apply constraint conditions
- A is not at any extreme end → remaining positions are 4 and 5; A cannot be at 5, so A at position 4
- Only E remains → E at position 5

Final Arrangement (all facing North ↑):
Position: C B D A E

Verification:
✓ C at extreme end (pos 1)
✓ D second to the right of C (pos 3)
✓ B immediately to the left of D (pos 2)
✓ A not at extreme end (pos 4)

Answer: E sits at the other extreme end (position 5).

Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces S who faces W: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ S _ _
Row3: _ W _ _

Step 3: Apply left-right conditions
- D sits to the left of A(pos 2) in Row 1 → D at position 1
Row1: D A _ _

Step 4: Second facing relationship
- R faces D(Row1 pos1) → R at Row2 position 1
- R faces Z → Z at Row3 position 1
Row1: D A _ _
Row2: R S _ _
Row3: Z W _ _

Step 5: Apply relative positioning in Row 2
- Q sits second to the right of R(pos1): 1+2=3 → Q at Row2 position 3
Row2: R S Q _
Q faces Row1 pos3 → C at Row1 pos3 ✓
Q faces Row3 pos3 → Y at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=P, Row3 pos4=X

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): D A C B
Row 2 (↑): R S Q P
Row 3 (↓): Z W Y X

Right extreme of Row 3 = position 4 = X

Answer: X

Solution Approach:

Step 1: Key rule for mixed facing
- Person facing CENTER: right = CLOCKWISE, left = ANTI-CLOCKWISE
- Person facing OUTWARD: right = ANTI-CLOCKWISE, left = CLOCKWISE

Step 2: Draw 8-seat circle (positions 1–8 clockwise)

Step 3: Start with definite information
- Fix T (faces center) at position 1 (reference point)
- Q faces outward, sits third to the RIGHT of T:
T faces center → right = clockwise
3 CW from pos 1 → pos 4
N = pos 4 ✓

Step 4: Apply relative positions
- P sits second to the LEFT of T (pos 1):
T faces center → left = anti-clockwise
2 anti-CW from pos 1 → pos 7
P faces same as Q → OUTWARD
- N faces center, sits immediately to the RIGHT of P (pos 7):
P faces outward → right = anti-clockwise
1 anti-CW from pos 7 → pos 6

Step 5: Fill remaining persons
- M immediately to the RIGHT of T(pos 1, center→CW): pos 2
- S opposite T(pos 1): pos 5
- R not adjacent to Q(pos 4): adj = pos 3 & 5
→ R at pos 8, O at pos 3

Final Arrangement (clockwise):
pos1:T(ctr) | pos2:M(out) | pos3:O(ctr) | pos4:Q(out) | pos5:S(out) | pos6:N(ctr) | pos7:P(out) | pos8:R(ctr)

Find second to the right of N (pos 6, center-facing → CW):
2 CW from pos 6: → pos 8 = R

Verification:
✓ Q(outward) 3 left of T(center): 3 ACW from pos1 = pos4
✓ P 2nd left of T, same direction as Q (outward)
✓ N(center) immediately right of P(outward, right=ACW)
✓ M immediately right (CW) of T
✓ S opposite T
✓ R not adjacent to Q

Answer: R sits second to the right of N.

Solution Approach:

Step 1: Draw square table diagram
Positions clockwise (C=Corner, M=Midpoint):
C1(1) → M1(2) → C2(3) → M2(4) → C3(5) → M3(6) → C4(7) → M4(8) → back to C1
Corner positions: 1, 3, 5, 7
Midpoint positions: 2, 4, 6, 8
Opposite corners: pos1↔pos5, pos3↔pos7

Step 2: Place persons systematically
- E sits at a corner → pos 1
- F sits second to the RIGHT of E: right(center-facing)=CW
2 CW from pos 1 → pos 3 ✓ (corner)
- D sits OPPOSITE E (pos 1) → pos 5 ✓
- C at midpoint, NOT adjacent to E(pos 1):
Adjacent to pos 1: pos 8 and pos 2
C → pos 6 (midpoint, not adjacent) ✓
- G sits at corner immediately to the RIGHT of C(pos 6):
1 CW from pos 6 → pos 7 (corner) ✓

Step 3: Remaining persons
Remaining: H, B, A
Fill remaining seats: pos2=H, pos8=B, pos4=A

Final Arrangement (clockwise):
pos1:E → pos2:H → pos3:F → pos4:A → pos5:D → pos6:C → pos7:G → pos8:B

Step 4: Count from LEFT of E to D
Left = anti-clockwise direction from E(pos 1):
pos1(E) → pos8(B) → pos7(G) → pos6(C) → pos5(D)
Persons between (excluding E and D): pos8(B), pos7(G), pos6(C)
Count = 3 person(s)

Answer: Three person(s) sit between E and D.

Solution Approach:

Step 1: Draw hexagonal arrangement
6 corners H1–H6 clockwise.
Opposite pairs: H1↔H4, H2↔H5, H3↔H6.

Step 2: Place definite positions
- Fix Charu at H1 (pos 1).
- Charu opposite Deepak: opp(pos1) = pos4 → Deepak at H4

Step 3: Apply relative positioning
- Aman second to the right of Charu(pos1):
CW 2: pos1→pos2→pos3
→ Aman at H3

- Bhanu second to the right of Esha:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Charu=1, Deepak=4, Aman=3,
remaining seats: [2, 5, 6].
Bhanu = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha at pos6, Bhanu at pos2

Step 4: Apply constraint
- Farhan not adjacent to Charu(pos1):
Adjacent to pos1: pos6 and pos2
→ Farhan at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Charu → H2:Bhanu → H3:Aman → H4:Deepak → H5:Farhan → H6:Esha

Step 5: Find Farhan's position relative to Aman
Aman at pos3, Farhan at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Charu opposite Deepak
✓ Aman second to right of Charu
✓ Bhanu second to right of Esha
✓ Farhan not adjacent to Charu

Answer: Farhan sits to the second to the right of Aman.

Solution Approach:

Step 1: Mark total positions
Seats: 1 2 3 4 5 6 7 8 9 10
Total: 10 seats, 8 persons, 2 empty.

Step 2: Place definite positions
- E at seat 3
- H at seat 8 (seat 8)
- One empty seat at extreme end → seat 1 is empty

Seat: 1(_) 2(_) 3(E) 4(_) 5(_) 6(_) 7(_) 8(H) 9(_) 10(_)

Step 3: Apply empty seat adjacency
- F sits immediately to the RIGHT of an empty seat
- Empty at seat 1 → seat 2 = F ✓

Seat: 1(_) 2(F) 3(E) 4(_) 5(_) 6(_) 7(_) 8(H) 9(_) 10(_)

Step 4: Apply "fourth to the left" condition
- D sits fourth to the LEFT of H (seat 8)
- Fourth to left: 8 → 7 → 6 → 5 → 4
- D at seat 4 ✓

Seat: 1(_) 2(F) 3(E) 4(D) 5(_) 6(_) 7(_) 8(H) 9(_) 10(_)

Step 5: Locate second empty seat
Remaining persons: B, A, C, G → fill seats 5, 6, 7, 9, 10 minus one empty.
After placing B(5), A(6), C(7), G(10): seat 9 is empty.

Step 6: Final arrangement
Seat: 1(_) 2(F) 3(E) 4(D) 5(B) 6(A) 7(C) 8(H) 9(_) 10(G)

Count persons between empty seats (seat 1 and seat 9):
Seats 2 through 8: F, E, D, B, A, C, H = 7 persons

Verification:
✓ E at seat 3
✓ H at seat 8
✓ Empty at seat 1 (extreme end)
✓ F immediately right of empty seat 1
✓ D fourth to left of H (seat 4 = seat 8 - 4)

Answer: 7 persons sit between the two empty seats.

Solution Approach:

Step 1: Draw hexagonal arrangement
6 corners H1–H6 clockwise.
Opposite pairs: H1↔H4, H2↔H5, H3↔H6.

Step 2: Place definite positions
- Fix Charu at H1 (pos 1).
- Charu opposite Esha: opp(pos1) = pos4 → Esha at H4

Step 3: Apply relative positioning
- Aman second to the right of Charu(pos1):
CW 2: pos1→pos2→pos3
→ Aman at H3

- Farhan second to the right of Bhanu:
This means F is somewhere and E is 2 CW from F.
We need to find where F and E land.
After placing Charu=1, Esha=4, Aman=3,
remaining seats: [2, 5, 6].
Farhan = 2 CW from Bhanu: pos5 is 2 clockwise [solver-verified].
→ Bhanu at pos6, Farhan at pos2

Step 4: Apply constraint
- Deepak not adjacent to Charu(pos1):
Adjacent to pos1: pos6 and pos2
→ Deepak at pos5 (not adjacent) ✓

Final Arrangement (clockwise):
H1:Charu → H2:Farhan → H3:Aman → H4:Esha → H5:Deepak → H6:Bhanu

Step 5: Find Deepak's position relative to Aman
Aman at pos3, Deepak at pos5.
pos5 is 2 clockwise from pos3.

Verification:
✓ Charu opposite Esha
✓ Aman second to right of Charu
✓ Farhan second to right of Bhanu
✓ Deepak not adjacent to Charu

Answer: Deepak sits to the second to the right of Aman.

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 Lawyer, 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] Chetan Eshaan _ _
Profsn: _ Doctor Lawyer _ _ _

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

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

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

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

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

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

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

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

Answer: Falguni's profession is Engineer.

Solution Approach:

Step 1: Understand the setup
Position: 1(Left) 2 3 4(Right)
Row 1 (↓): _ _ _ _
Row 2 (↑): _ _ _ _
Row 3 (↓): _ _ _ _

Facing: Row 1 pos i faces Row 2 pos i; Row 2 pos i faces Row 3 pos i.
(Using viewer's perspective: left=position 1, right=position 4)

Step 2: Apply facing relationships
- A faces R who faces Y: all three in the SAME vertical column.
Place at position 2:
Row1: _ A _ _
Row2: _ R _ _
Row3: _ Y _ _

Step 3: Apply left-right conditions
- D sits to the left of A(pos 2) in Row 1 → D at position 1
Row1: D A _ _

Step 4: Second facing relationship
- S faces D(Row1 pos1) → S at Row2 position 1
- S faces X → X at Row3 position 1
Row1: D A _ _
Row2: S R _ _
Row3: X Y _ _

Step 5: Apply relative positioning in Row 2
- P sits second to the right of S(pos1): 1+2=3 → P at Row2 position 3
Row2: S R P _
P faces Row1 pos3 → B at Row1 pos3 ✓
P faces Row3 pos3 → Z at Row3 pos3 ✓

Step 6: Fill remaining positions
Remaining: Row1 pos4=C, Row2 pos4=Q, Row3 pos4=W

Final Arrangement:
Position: 1 2 3 4
Row 1 (↓): D A B C
Row 2 (↑): S R P Q
Row 3 (↓): X Y Z W

Right extreme of Row 3 = position 4 = W

Answer: W