Seating Arrangement - Intermediate-Advanced Level: position puzzles INTERMEDIATE-ADVANCED

Solution Approach:

Step 1: Draw concentric circles
Inner circle: 4 positions I1(12 o'clock), I2(3), I3(6), I4(9) — all occupied.
Outer circle: 6 positions O1–O6 clockwise — 4 occupied, 2 empty.
Facing alignment: I1↔O1, I2↔O2, I3↔O4, I4↔O5 (O3 and O6 are empty).

Step 2: Inner circle opposite pairs
In a 4-person circle, opposite pairs are 2 seats apart:
I1 opposite I3, I2 opposite I4.

Step 3: Place inner circle persons
- A sits immediately to the right of B (inner circle, facing center: right=CW)
→ B and A are adjacent. Possible: B=I1, A=I2 or B=I2, A=I3, etc.
- D sits opposite to A:
If A=I2, then D=I4. Then B=I1 (left of I2), C=I3 (remaining).
All constraints consistent ✓.

Inner: I1=B, I2=A, I3=C, I4=D

Step 4: Place outer circle persons
- P faces B(I1) → P at O1 ✓
- Outer occupied seats: O1, O2, O4, O5. Empty: O3, O6.
- S second to right of R (outer, facing center: right=CW, step 2):
Remaining outer persons: S,R,Q at O2, O4, O5.
R=O2 → Q=O4, S=O5 ✓
R=O4 → Q=O6(empty) ✗
R=O5 → Q=O1=P ✗
∴ R=O2, S=O4, Q=O5 ✓
- Q(O5) immediately to the LEFT of an empty:
Left(CW) of O5 = O4(S) — NOT empty.
RIGHT(CW) of O5 = O6(empty). So O5 is immediately to the LEFT of O6(empty) ✓.

Step 5: Answer the question
A is at I2. Opposite of I2 = I4 = D.

Final Arrangements:
Inner (CW): I1=B, I2=A, I3=C, I4=D
Outer (CW): O1=P, O2=R, O3=empty, O4=S, O5=Q, O6=empty

Verification:
✓ P faces B (I1↔O1)
✓ A immediately right of B (I2 is CW from I1)
✓ D opposite A (I4 opposite I2)
✓ S second right of R (O4 = O2 + 2 CW)
✓ Q(O5) immediately left of empty O6

Answer: D sits opposite to A.

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 C → C is 2 clockwise from B
pos[C] = 3
- F sits OPPOSITE B (pos 1) → pos 4
- E sits immediately to the right of F (pos 4) → pos 5

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

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

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

C is at pos 3 → opposite = pos 6 = A

Answer: A sits opposite to C.

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 Q (faces center) at position 1 (reference point)
- O faces outward, sits third to the RIGHT of Q:
Q faces center → right = clockwise
3 CW from pos 1 → pos 4
N = pos 4 ✓

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

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

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

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

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

Answer: N sits second to the right of P.

Solution Approach:

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

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

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

Step 3: Test each MCQ option

- "Z sits at position 2": ✗ NEVER possible → must be FALSE
- "X sits at position 4": ✓ Possible in at least one valid arrangement
- "Z sits at position 1": ✓ Possible in at least one valid arrangement
- "Z sits at position 5": ✓ Possible in at least one valid arrangement

Step 4: Conclusion
"Z 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: "Z sits at position 2" must be FALSE.

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

Position: T _ Q R S

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

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

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

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

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

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

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

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

Answer: Three person(s) sit between B and G.

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

Position: T _ P Q S

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

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

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

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

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
- Esha second to the right of Charu(pos1):
CW 2: pos1→pos2→pos3
→ Esha 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, Deepak=4, Esha=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
- Aman not adjacent to Charu(pos1):
Adjacent to pos1: pos6 and pos2
→ Aman at pos5 (not adjacent) ✓

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

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

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

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

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

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

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

Row 2: S Q R P T

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

Find who faces C:
C is at Row 1, position 3.
Person at Row 2, position 3 = R

Answer: R faces C.

Solution Approach:

Step 1: Mark directions
↑ = North facing, ↓ = South facing

Step 2: Apply position-based conditions
- R sits third from the left end facing North (↑) → Position 3
- U sits at the left extreme end facing South (↓) → Position 1

Position: U(↓) _ R(↑) _ _ _

Step 3: Apply relative positioning
- Q sits second to the right of R (pos 3) → Position 5
- Q faces opposite direction to R (North) → Q faces South (↓)
- S sits immediately to the left of Q (pos 5) facing North (↑) → Position 4

Position: U(↓) _ R(↑) S(↑) Q(↓) _

Step 4: Fill remaining positions
Remaining persons: P, T
Position 2 gets P, Position 6 gets T

Final Arrangement:
Pos: U(↓) P(↑) R(↑) S(↑) Q(↓) T(↑)

Verification:
✓ R at pos 3, facing North
✓ Q at pos 5 (second right of R), facing South (opposite of R)
✓ U at pos 1 (left extreme), facing South
✓ S at pos 4 (immediately left of Q), facing North

Person between U (pos 1) and R (pos 3): pos 2 = P

Answer: P sits between U and R.

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
- B at seat 3
- H at seat 8 (seat 8)
- One empty seat at extreme end → seat 1 is empty

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

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

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

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

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

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

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

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

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

Answer: 7 persons sit between the two empty seats.

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 M (faces center) at position 1 (reference point)
- N faces outward, sits third to the RIGHT of M:
M 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 M (pos 1):
M faces center → left = anti-clockwise
2 anti-CW from pos 1 → pos 7
P faces same as N → OUTWARD
- Q 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
- R immediately to the RIGHT of M(pos 1, center→CW): pos 2
- O opposite M(pos 1): pos 5
- T not adjacent to N(pos 4): adj = pos 3 & 5
→ T at pos 8, S at pos 3

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

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

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

Answer: T sits second to the right of Q.

Solution Approach:

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

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

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

Step 3: Test each MCQ option

- "X sits at position 4": ✓ Possible in at least one valid arrangement
- "X sits at position 3": ✓ Possible in at least one valid arrangement
- "Y sits at position 2": ✓ Possible in at least one valid arrangement
- "V sits at position 2": ✗ NEVER possible → must be FALSE

Step 4: Conclusion
"V 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: "V sits at position 2" must be FALSE.

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
- H at seat 3
- D at seat 8 (seat 8)
- One empty seat at extreme end → seat 1 is empty

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

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

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

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

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

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

Verification:
✓ H at seat 3
✓ D at seat 8
✓ Empty at seat 1 (extreme end)
✓ A 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: Draw circular diagram
6 persons facing center. Opposite positions are 3 seats apart.
Number positions 1–6 clockwise.

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

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

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

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

C is at pos 3 → opposite = pos 6 = D

Answer: D sits opposite to C.

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

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

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

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

C is at pos 3 → opposite = pos 6 = F

Answer: F sits opposite to C.

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

Position: P _ Q T S

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

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

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

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

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
- D faces P who faces X: all three in the SAME vertical column.
Place at position 2:
Row1: _ D _ _
Row2: _ P _ _
Row3: _ X _ _

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

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

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

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=Q, Row3 pos4=Y

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

Right extreme of Row 3 = position 4 = Y

Answer: Y

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

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

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

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

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

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

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

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

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

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

Answer: Divya's profession is Banker.

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

Step 3: Remaining persons
Remaining: E, G, F
Fill remaining seats: pos2=E, pos8=G, pos4=F

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

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

Answer: Three person(s) sit between C and A.