Seating Arrangement - Expert Level: mixed directions EXPERT

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
- E sits at one extreme end → Place E at position 1
- B sits second to the right of E → B at position 3
- D sits immediately to the left of B → D at position 2

Position: E D B _ _

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 C remains → C at position 5

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

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

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

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 Farhan at H1 (pos 1).
- Farhan opposite Bhanu: opp(pos1) = pos4 → Bhanu at H4

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

- Aman 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 Farhan=1, Bhanu=4, Deepak=3,
remaining seats: [2, 5, 6].
Aman = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha at pos6, Aman at pos2

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

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

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

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

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

Solution Approach:

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

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

Position: Q(↓) _ U(↑) _ _ _

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

Position: Q(↓) _ U(↑) S(↑) T(↓) _

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

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

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

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

Answer: R sits between Q and U.

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

Step 3: Test each MCQ option

- "W sits at position 5": ✓ Possible in at least one valid arrangement
- "V sits at position 4": ✓ Possible in at least one valid arrangement
- "W sits at position 2": ✗ NEVER possible → must be FALSE
- "Z sits at position 3": ✓ Possible in at least one valid arrangement

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

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
- B faces R who faces W: all three in the SAME vertical column.
Place at position 2:
Row1: _ B _ _
Row2: _ R _ _
Row3: _ W _ _

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

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

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

Step 6: Fill remaining positions
Remaining: Row1 pos4=C, Row2 pos4=S, Row3 pos4=X

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

Right extreme of Row 3 = position 4 = X

Answer: X

Solution Approach:

Step 1: Draw rectangular table
Positions 1–10 clockwise:
- Top (longer, 3 persons): pos1(corner-TL), pos2(mid-top), pos3(corner-TR)
- Right (shorter, 2 persons): pos4(mid-right), pos5(corner-BR)
- Bottom (longer, 3 persons): pos6(mid-bot), pos7(corner-BL-ish... wait, pos7 is mid-bottom)
Correction: pos6(mid-bot), pos7(mid-bot2), pos8(corner-BL) — actually:
Bottom traversed right→left: pos6(mid), pos7(mid2)? For 3 persons: corner is shared with adjacent side.
In competitive exams: the 3 bottom persons are at pos6(mid), pos7, pos8(corner-BL).
Actually pos6,7,8 with pos8=BL-corner and pos5=BR-corner. ✓
- Left (shorter, 2 persons): pos9(mid-left), pos10(mid-left2)
- Corners: pos1(TL), pos3(TR), pos5(BR), pos8(BL)
- Longer-side midpoints: pos2(top), pos7(bottom)
- Shorter-side midpoints: pos4(right), pos9(left)

Step 2: Place persons
- G at middle of longer side → pos 7 (mid-bottom)
- F at middle of shorter side → pos 4 (mid-right)
- H second to the RIGHT of G (pos 7):
right(center-facing)=CW: pos7+2 = pos9 → H ✓
- J at a corner → pos 1
- A at corner OPPOSITE to J: pos5 → A ✓
- D second to the LEFT of F (pos 4):
left(center-facing)=anti-CW: pos4-2 = pos2 → D ✓

Step 3: Fill remaining positions
Remaining persons: E, I, C, B
Remaining seats: [3, 6, 8, 10]

Final Arrangement (clockwise):
pos1:J | pos2:D | pos3:E | pos4:F | pos5:A | pos6:I | pos7:G | pos8:C | pos9:H | pos10:B

Find second to the left of F (pos 4):
Left (anti-CW): pos4 → pos3 → pos2 = D

Answer: D sits second to the left of F.

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
- A sits at one extreme end → Place A at position 1
- E sits second to the right of A → E at position 3
- D sits immediately to the left of E → D at position 2

Position: A D E _ _

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

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

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

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

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
- C at seat 3
- A at seat 8 (seat 8)
- One empty seat at extreme end → seat 1 is empty

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

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

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

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

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

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

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

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

Verification:
✓ C at seat 3
✓ A at seat 8
✓ Empty at seat 1 (extreme end)
✓ D immediately right of empty seat 1
✓ F fourth to left of A (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 S (faces center) at position 1 (reference point)
- Q faces outward, sits third to the RIGHT of S:
S faces center → right = clockwise
3 CW from pos 1 → pos 4
N = pos 4 ✓

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

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

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

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

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

Answer: M sits second to the right of R.

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
- A sits at one extreme end → Place A at position 1
- C sits second to the right of A → C at position 3
- B sits immediately to the left of C → B at position 2

Position: A B C _ _

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

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

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

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

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

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

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

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

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

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

Answer: D sits opposite to B.

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 Bhanu: opp(pos1) = pos4 → Bhanu 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 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, Bhanu=4, Aman=3,
remaining seats: [2, 5, 6].
Farhan = 2 CW from Esha: pos5 is 2 clockwise [solver-verified].
→ Esha 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:Bhanu → H5:Deepak → H6:Esha

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

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

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

Solution Approach:

Step 1: Draw rectangular table
Positions 1–10 clockwise:
- Top (longer, 3 persons): pos1(corner-TL), pos2(mid-top), pos3(corner-TR)
- Right (shorter, 2 persons): pos4(mid-right), pos5(corner-BR)
- Bottom (longer, 3 persons): pos6(mid-bot), pos7(corner-BL-ish... wait, pos7 is mid-bottom)
Correction: pos6(mid-bot), pos7(mid-bot2), pos8(corner-BL) — actually:
Bottom traversed right→left: pos6(mid), pos7(mid2)? For 3 persons: corner is shared with adjacent side.
In competitive exams: the 3 bottom persons are at pos6(mid), pos7, pos8(corner-BL).
Actually pos6,7,8 with pos8=BL-corner and pos5=BR-corner. ✓
- Left (shorter, 2 persons): pos9(mid-left), pos10(mid-left2)
- Corners: pos1(TL), pos3(TR), pos5(BR), pos8(BL)
- Longer-side midpoints: pos2(top), pos7(bottom)
- Shorter-side midpoints: pos4(right), pos9(left)

Step 2: Place persons
- I at middle of longer side → pos 7 (mid-bottom)
- A at middle of shorter side → pos 4 (mid-right)
- B second to the RIGHT of I (pos 7):
right(center-facing)=CW: pos7+2 = pos9 → B ✓
- J at a corner → pos 1
- H at corner OPPOSITE to J: pos5 → H ✓
- E second to the LEFT of A (pos 4):
left(center-facing)=anti-CW: pos4-2 = pos2 → E ✓

Step 3: Fill remaining positions
Remaining persons: F, D, C, G
Remaining seats: [3, 6, 8, 10]

Final Arrangement (clockwise):
pos1:J | pos2:E | pos3:F | pos4:A | pos5:H | pos6:D | pos7:I | pos8:C | pos9:B | pos10:G

Find second to the left of A (pos 4):
Left (anti-CW): pos4 → pos3 → pos2 = E

Answer: E sits second to the left of A.

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
- M sits opposite L (pos 3): pos 6
- N sits immediately to the RIGHT of M (pos 6):
right(outward)=anti-CW → pos 5
- O sits opposite K (pos 1): pos 4
- Remaining P fills pos 2.

Final Arrangement (clockwise):
pos1:K → pos2:P → pos3:L → pos4:O → pos5:N → pos6:M
(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)
✓ M opposite L
✓ N immediately right (anti-CW) of M
✓ O opposite K

Answer: O sits immediately to the left of L.

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

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

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

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

Step 6: Fill remaining positions
Remaining: Row1 pos4=B, Row2 pos4=R, Row3 pos4=Z

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

Right extreme of Row 3 = position 4 = Z

Answer: Z

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

Step 3: Remaining persons
Remaining: D, F, H
Fill remaining seats: pos2=D, pos8=F, pos4=H

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

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

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

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
- F 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(F) 9(_) 10(_)

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

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

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

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

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

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

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

Verification:
✓ H at seat 3
✓ F at seat 8
✓ Empty at seat 1 (extreme end)
✓ E immediately right of empty seat 1
✓ G fourth to left of F (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 Aman at H1 (pos 1).
- Aman opposite Esha: opp(pos1) = pos4 → Esha at H4

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

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

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

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

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

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

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

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 Banker, 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] Amit Eshaan _ _
Profsn: _ Doctor Banker _ _ _

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

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

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

Position: _ Chetan Amit Eshaan _ _
Profsn: _ Doctor Banker Teacher _ _

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

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

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

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

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 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.)
- Falguni sits second to the right of the Banker (pos 2): 2+2 = pos 4 → Falguni at position 4

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

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

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

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

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

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

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

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

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

Answer: Amit's profession is Doctor.