Question 1
Eight persons B, G, E, D, A, H, F and C 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.
E sits at the middle of a side and is not adjacent to B.
D sits opposite to B. A sits at a corner immediately to the right of E.
H sits immediately to the left of G. F is not adjacent to D.
How many persons sit between B and D 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)
- D 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) ✓
- A sits at corner immediately to the RIGHT of E(pos 6):
1 CW from pos 6 → pos 7 (corner) ✓
Step 3: Remaining persons
Remaining: H, F, C
Fill remaining seats: pos2=H, pos8=F, pos4=C
Final Arrangement (clockwise):
pos1:B → pos2:H → pos3:G → pos4:C → pos5:D → pos6:E → pos7:A → pos8:F
Step 4: Count from LEFT of B to D
Left = anti-clockwise direction from B(pos 1):
pos1(B) → pos8(F) → pos7(A) → pos6(E) → pos5(D)
Persons between (excluding B and D): pos8(F), pos7(A), pos6(E)
Count = 3 person(s)
Answer: Three person(s) sit between B and D.
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)
- D 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) ✓
- A sits at corner immediately to the RIGHT of E(pos 6):
1 CW from pos 6 → pos 7 (corner) ✓
Step 3: Remaining persons
Remaining: H, F, C
Fill remaining seats: pos2=H, pos8=F, pos4=C
Final Arrangement (clockwise):
pos1:B → pos2:H → pos3:G → pos4:C → pos5:D → pos6:E → pos7:A → pos8:F
Step 4: Count from LEFT of B to D
Left = anti-clockwise direction from B(pos 1):
pos1(B) → pos8(F) → pos7(A) → pos6(E) → pos5(D)
Persons between (excluding B and D): pos8(F), pos7(A), pos6(E)
Count = 3 person(s)
Answer: Three person(s) sit between B and D.