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