Study the following information carefully and answer the questions given below:

Eight persons sit in a row. Four persons face north and rest face south. Three persons sit between A and B and one of them sits at the end of the row. C sits second to the right of B who faces north. D and B face same direction but they do not sit adjacent to each other. E sits third to the left of D and faces opposite direction to D. G sits third to the right of C. Both the immediate neighbors of G face same direction. H sits to the right of F.

What is the position of F with respect to E?

The correct option is Fourth to the left.

Let us solve the linear arrangement step-by-step based on the given clues:

Clue 1: "Three persons sit between A and B and one of them sits at the end of the row."
Since there are 8 positions in total, let us consider two cases based on which person (A or B) sits at an extreme end.

Case 1: A is at an extreme end.
If A is at position 1 (left end):
A _ _ _ B _ _ _ (Positions: A at 1, B at 5)

If A is at position 8 (right end):
_ _ _ B _ _ _ A (Positions: B at 4, A at 8)

Case 2: B is at an extreme end.
If B is at position 1 (left end):
B _ _ _ A _ _ _ (Positions: B at 1, A at 5)

If B is at position 8 (right end):
_ _ _ A _ _ _ B (Positions: A at 4, B at 8)

Clue 2: "C sits second to the right of B who faces north."
Since B faces North, second to the right of B means two places to the right of B (i.e., Position of B + 2).

If B is at position 5 (from Case 1 - subcase 1), C is at position 7.
Positions: A(1), _(2), _(3), _(4), B(5, North), _(6), C(7), _(8)

If B is at position 4 (from Case 1 - subcase 2), C is at position 6.
Positions: _(1), _(2), _(3), B(4, North), _(5), C(6), _(7), A(8)

If B is at position 1 (from Case 2 - subcase 1), C is at position 3.
Positions: B(1, North), _(2), C(3), _(4), A(5), _(6), _(7), _(8)

If B is at position 8 (from Case 2 - subcase 2), C cannot sit second to the right because B is at the right end. So this subcase is eliminated.

Clue 3: "G sits third to the right of C."
In Case 2 (B at 1, C at 3):
If C faces North, third to the right of C is position 6 for G.
If C faces South, third to the right of C is not possible as it would go out of the row to the left. Thus, C must face North, placing G at position 6.
Current layout: B(1, North), _(2), C(3, North), _(4), A(5), G(6), _(7), _(8)

In Case 1 (A at 1, B at 5, C at 7):
If C faces North, third to the right goes out of bounds. If C faces South, third to the right places G at position 4.
Current layout: A(1), _(2), _(3), G(4), B(5, North), _(6), C(7, South), _(8)

In Case 1 (B at 4, C at 6, A at 8):
If C faces North, G would be at position 9 (invalid). If C faces South, G would be at position 3.
Current layout: _(1), _(2), G(3), B(4, North), _(5), C(6, South), _(7), A(8)

Clue 4: "D and B face same direction but they do not sit adjacent to each other. E sits third to the left of D and faces opposite direction to D."
Since B faces North, D must also face North.
Because E sits third to the left of D, D (facing North) must have E three places to his left (i.e., Position of E = Position of D - 3).

Let us test this in our valid arrangements:

Testing Case 2 (B at 1, C at 3, A at 5, G at 6):
Available empty seats are 2, 4, 7, 8.
If D is at 7 (facing North), third to the left of D is seat 4. So E is at seat 4.
D cannot be adjacent to B(1), so D cannot be at 2.
If D is at 7, then E is at 4. This leaves seats 2 and 8 for F and H.
Layout becomes: B(1, North), F/H(2), C(3, North), E(4), A(5), G(6), D(7, North), F/H(8).

Since E faces opposite direction to D, and D faces North, E must face South.

Clue 5: "H sits to the right of F." and "Both the immediate neighbors of G face same direction."
G is at seat 6. The immediate neighbors of G are A(5) and D(7).
Since D faces North, A must also face North.

Now, let us check directions of all 8 persons:
Four face North and four face South.
Known North-facing persons so far: B(1), C(3), A(5), D(7).
This accounts for all 4 North-facing persons!
Therefore, the remaining persons must all face South: E(4), G(6), F, and H.

Let us place F and H:
The remaining seats are 2 and 8.
"H sits to the right of F."
Since F faces South, "to the right of F" means to the left in spatial arrangement (smaller position number).
Therefore, H must be at position 2 and F must be at position 8.
Then H (at 2) is to the right of F (at 8 facing South).

Final Arrangement:
1. B (North)
2. H (South)
3. C (North)
4. E (South)
5. A (North)
6. G (South)
7. D (North)
8. F (South)

Let's verify the question:
What is the position of F with respect to E?

E is at position 4 and faces South.
For a person facing South, "Left" is towards the right side of the row (increasing position numbers).
F is at position 8.
Position 8 is 4 places to the left of position 4 when facing South.

Therefore, F is Fourth to the left of E.