Eight persons A, B, C, D, E, F, G and H are sitting around a circle facing the centre. D is second to the left of F and third to the right of H. A is second to the right of F and immediate neighbour of H. C is second to the right of B and F is third to the right of B. G is not an immediate neighbour of F. Then who is to the immediate left of A?
Show Hint
In circular arrangement problems, always fix one person at a reference position. This removes rotational ambiguity and makes the arrangement easier to solve.
Concept:
For circular arrangements facing the centre:
• Right means clockwise.
• Left means anticlockwise.
• Fix one person and arrange others according to the given conditions.
Step 1: Placing F and D.
Let F occupy any position.
D is second to the left of F.
Also, D is third to the right of H.
Using these conditions, H is fixed relative to D and F.
Step 2: Placing A.
A is second to the right of F.
A is also an immediate neighbour of H.
This fixes the position of A uniquely.
Step 3: Placing B and C.
F is third to the right of B.
C is second to the right of B.
These conditions determine the positions of B and C.
Step 4: Placing G and E.
The remaining seats are occupied by G and E.
Since G is not an immediate neighbour of F, only one arrangement satisfies all conditions.
The final circular arrangement shows that G sits immediately to the left of A.
{G}