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