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