Seating Arrangement - Beginner-Intermediate Level: facing directions BEGINNER-INTERMEDIATE

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 Teacher, 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.)
- Bina sits second to the right of the Doctor (pos 2): 2+2 = pos 4 → Bina at position 4

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

Row 2: S Q R T P

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

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

Answer: R faces 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 Esha at H1 (pos 1).
- Esha opposite Aman: opp(pos1) = pos4 → Aman at H4

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

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

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

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

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

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

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

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
- S faces A(I1) → S at O1 ✓
- Outer occupied seats: O1, O2, O4, O5. Empty: O3, O6.
- R second to right of Q (outer, facing center: right=CW, step 2):
Remaining outer persons: R,Q,P at O2, O4, O5.
R=O2 → Q=O4, S=O5 ✓
R=O4 → Q=O6(empty) ✗
R=O5 → Q=O1=P ✗
∴ Q=O2, R=O4, P=O5 ✓
- P(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=S, O2=Q, O3=empty, O4=R, O5=P, O6=empty

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

Answer: D sits opposite to B.

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 Teacher sits second from the left → position 2
(Which person is the Teacher? Must be Divya, 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] Amit Falguni _ _
Profsn: _ Teacher Architect _ _ _

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

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

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

Position: _ Divya Amit Falguni _ _
Profsn: _ Teacher Architect Lawyer _ _

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

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

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

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

Answer: Bina's profession is Doctor.

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

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

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

Row 2: P R Q S T

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

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

Answer: Q faces E.

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

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

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

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

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

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 Lawyer sits second from the left → position 2
(Which person is the Lawyer? Must be Falguni, 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 Teacher _ _ _

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

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

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

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

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

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

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

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

Answer: Eshaan's profession is Banker.

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

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

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

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

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

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

Answer: 7 persons sit between the two empty seats.

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
- D 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(D) 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(C) 4(_) 5(_) 6(_) 7(_) 8(D) 9(_) 10(_)

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

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

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

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

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

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

Answer: 7 persons sit between the two empty seats.

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

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

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

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

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

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
- C 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(C) 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(B) 4(_) 5(_) 6(_) 7(_) 8(C) 9(_) 10(_)

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

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

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

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

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

Verification:
✓ B at seat 3
✓ C at seat 8
✓ Empty at seat 1 (extreme end)
✓ E immediately right of empty seat 1
✓ A fourth to left of C (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 Q (faces center) at position 1 (reference point)
- M 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
- S sits second to the LEFT of Q (pos 1):
Q faces center → left = anti-clockwise
2 anti-CW from pos 1 → pos 7
S faces same as M → OUTWARD
- N faces center, sits immediately to the RIGHT of S (pos 7):
S faces outward → right = anti-clockwise
1 anti-CW from pos 7 → pos 6

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

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

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

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

Answer: T sits second to the right of N.

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

Step 3: Test each MCQ option

- "W sits at position 4": ✓ Possible in at least one valid arrangement
- "Z sits at position 2": ✗ NEVER possible → must be FALSE
- "V sits at position 2": ✓ 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: 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
- D sits immediately to the right of C (inner circle, facing center: right=CW)
→ C and D are adjacent. Possible: C=I1, D=I2 or C=I2, D=I3, etc.
- B sits opposite to D:
If D=I2, then B=I4. Then C=I1 (left of I2), A=I3 (remaining).
All constraints consistent ✓.

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

Step 4: Place outer circle persons
- P faces C(I1) → P at O1 ✓
- Outer occupied seats: O1, O2, O4, O5. Empty: O3, O6.
- R second to right of Q (outer, facing center: right=CW, step 2):
Remaining outer persons: R,Q,S at O2, O4, O5.
R=O2 → Q=O4, S=O5 ✓
R=O4 → Q=O6(empty) ✗
R=O5 → Q=O1=P ✗
∴ Q=O2, R=O4, S=O5 ✓
- S(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
D is at I2. Opposite of I2 = I4 = B.

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

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

Answer: B sits opposite to D.

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

Position: _ [Architect] Falguni Bina _ _
Profsn: _ Architect Teacher _ _ _

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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
- E sits second to the right of C → E at position 3
- B sits immediately to the left of E → B at position 2

Position: C B E _ _

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

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

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

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

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

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

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

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

Answer: D sits second to the left of I.