Question 1
Eight persons B, G, F, C, A, D, H and E are sitting around a square table.
Four persons sit at corners and four at the middle of sides, all facing the center.
B sits at a corner. G sits second to the right of B.
F sits at the middle of a side and is not adjacent to B.
C sits opposite to B. A sits at a corner immediately to the right of F.
D sits immediately to the left of G. H is not adjacent to C.
How many persons sit between B and C when counted from the left of B?
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
- G sits second to the RIGHT of B: right(center-facing)=CW
2 CW from pos 1 → pos 3 ✓ (corner)
- C sits OPPOSITE B (pos 1) → pos 5 ✓
- F at midpoint, NOT adjacent to B(pos 1):
Adjacent to pos 1: pos 8 and pos 2
F → pos 6 (midpoint, not adjacent) ✓
- A sits at corner immediately to the RIGHT of F(pos 6):
1 CW from pos 6 → pos 7 (corner) ✓
Step 3: Remaining persons
Remaining: D, H, E
Fill remaining seats: pos2=D, pos8=H, pos4=E
Final Arrangement (clockwise):
pos1:B → pos2:D → pos3:G → pos4:E → pos5:C → pos6:F → pos7:A → pos8:H
Step 4: Count from LEFT of B to C
Left = anti-clockwise direction from B(pos 1):
pos1(B) → pos8(H) → pos7(A) → pos6(F) → pos5(C)
Persons between (excluding B and C): pos8(H), pos7(A), pos6(F)
Count = 3 person(s)
Answer: Three person(s) sit between B and C.
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
- G sits second to the RIGHT of B: right(center-facing)=CW
2 CW from pos 1 → pos 3 ✓ (corner)
- C sits OPPOSITE B (pos 1) → pos 5 ✓
- F at midpoint, NOT adjacent to B(pos 1):
Adjacent to pos 1: pos 8 and pos 2
F → pos 6 (midpoint, not adjacent) ✓
- A sits at corner immediately to the RIGHT of F(pos 6):
1 CW from pos 6 → pos 7 (corner) ✓
Step 3: Remaining persons
Remaining: D, H, E
Fill remaining seats: pos2=D, pos8=H, pos4=E
Final Arrangement (clockwise):
pos1:B → pos2:D → pos3:G → pos4:E → pos5:C → pos6:F → pos7:A → pos8:H
Step 4: Count from LEFT of B to C
Left = anti-clockwise direction from B(pos 1):
pos1(B) → pos8(H) → pos7(A) → pos6(F) → pos5(C)
Persons between (excluding B and C): pos8(H), pos7(A), pos6(F)
Count = 3 person(s)
Answer: Three person(s) sit between B and C.