Directions (18-21): Read the given information carefully and answer the related questions:

Six persons A, B, C, D, E and F stand in a row in the same order from right to left. Three of them face south and three face north direction. Consecutive distance between any two persons is 8m. They all start walking either in north or south direction, covering some certain distances, then reach their final positions.

A walks 14m in a certain direction and then turns right and walks 20m to reach his final position. C walks 10m in certain direction and then turns left and walks 6m to reach his final destination. E walks 6m in a certain direction and then turns left and walks 8m to reach his final position. F walks 8m in certain direction and then turns left and walks 22m to reach his final position. D walks 16m in a certain direction and then turns right and walks 6m to reach his final position. B walks 12m north and then turns left and walks certain meter to reach his final position which is in the south of D’s final position. C’s final destination is not in south-east of F’s final destination.

E’s initial position is in which direction of B’s final position?

Correct Answer: South-west

Let us analyze the initial layout and the movements of the six persons step-by-step to determine the final and initial positions.

Step 1: Initial Positions
Six persons A, B, C, D, E, and F stand in a row in the same order from right to left (East to West).
Let us represent the horizontal row along an X-axis. Since the consecutive distance between any two persons is 8m, and they stand from right (East) to left (West) in the order A, B, C, D, E, F:
Let the position of A be at coordinate $x=0$.
- A's initial position: $(0,0)$
- B's initial position: $(-8,0)$
- C's initial position: $(-16,0)$
- D's initial position: $(-24,0)$
- E's initial position: $(-32,0)$
- F's initial position: $(-40,0)$

Three of them face North and three face South. Their initial walking direction is the direction they face.

Step 2: Walk Analysis and Final Positions
Let us trace their movements:
- B: Walks 12m North, then turns left and walks a certain distance to reach his final position, which is directly South of D's final position.
Since B starts at $(-8,0)$ and walks 12m North, he reaches $(-8,12)$. Turning left (which is West, since he was going North) means he walks in the negative x-direction. So B's final position coordinate is $(x_{B,\mathrm{final}},12)$, where $x_{B,\mathrm{final}}<-8$.
- D: Walks 16m in a certain direction, then turns right and walks 6m to reach his final position.
If D walks North (initial facing North): D starts at $(-24,0)$, goes 16m North to $(-24,16)$, turns right (East) and walks 6m to reach $(-18,16)$.
If D walks South (initial facing South): D starts at $(-24,0)$, goes 16m South to $(-24,-16)$, turns right (West) and walks 6m to reach $(-30,-16)$.
Since B's final position is directly South of D's final position, they must share the same x-coordinate: $x_{B,\mathrm{final}}=x_{D,\mathrm{final}}$.
Also, since B turned left from North (going West), B's final x-coordinate is less than -8.
If D faced North, $x_{D,\mathrm{final}}=-18$. This is less than -8, which is possible. In this case, B's final position is $(-18,12)$ and D's final position is $(-18,16)$ (so B's final position is South of D's final position).
If D faced South, $x_{D,\mathrm{final}}=-30$. This is also less than -8.

Step 3: Determining E's Initial Position relative to B's Final Position
Let us find the coordinates of:
- E's initial position: $(-32,0)$
- B's final position: Either $(-18,12)$ or $(-30,12)$
In either case, the x-coordinate of E's initial position ($-32$) is to the West of B's final position x-coordinate ($-18$ or $-30$).
The y-coordinate of E's initial position ($0$) is to the South of B's final position y-coordinate ($12$).
Therefore, E's initial position $(-32,0)$ is South and West relative to B's final position.
This confirms that E's initial position is in the South-west direction of B's final position.