Study the following information carefully and answer the questions given below. Nine persons sit in a linear row such that three of them face south direction and the rest of them face north direction. Not more than two persons sit adjacent to each other face the same direction. Six persons sit between H and P who is the only neighbour of R. G sits 3rd to the right of W who sits 2nd to the right of H. The Number of persons sit to the right of G is less than the number of persons sit to the left of G. U and L sit immediately left of each other. O sits 2nd to the right of L who faces the same direction as W. J sits to the right of O.

What is the position of G with respect to J?

Correct Answer: 4th to the left

Let's solve the linear arrangement step-by-step based on the given information:

1. Total number of persons = 9.
2. Three persons face South and six persons face North.
3. Not more than two adjacent persons face the same direction (i.e., maximum 2 consecutive persons can face the same direction).

Step 1: Position of H, P, and R
"P is the only neighbour of R."
This means R must be at one of the extreme ends, and P is adjacent to R.
"Six persons sit between H and P."
Since there are 9 positions in total (let's number them 1 to 9 from left to right):
- Case A: If R is at position 9, P is at position 8. Then H must be at position 1 (6 persons between position 1 and 8: positions 2, 3, 4, 5, 6, 7).
- Case B: If R is at position 1, P is at position 2. Then H must be at position 9.

Step 2: Position of W and G
"W sits 2nd to the right of H."
"G sits 3rd to the right of W."
- If H is at position 9 (Case B): Since W sits 2nd to the right of H, H must face South to have positions to its right. So W would be at position 7 (facing South: right is towards left, i.e., 9 - 2 = 7). Then G sits 3rd to the right of W. If W faces North, 3rd to the right would be position 10 (invalid). If W faces South, 3rd to the right would be position 4.
- Let's check Case A (H at position 1): H must face North so its right is towards position 3 (W at position 3). Then G sits 3rd to the right of W. If W faces North, G is at position 6 (3 + 3 = 6).
Let's analyze the clue: "The number of persons sitting to the right of G is less than the number of persons sitting to the left of G."
- In Case A (H at 1, W at 3, G at 6): If G faces North, persons to the left of G = 5 (positions 1-5) and persons to the right of G = 3 (positions 7-9). Here, 3 < 5, which satisfies the condition!
Thus, G is at position 6, facing North.

Step 3: Placing remaining persons (U, L, O, J)
Remaining empty positions in Case A (positions 1 to 9):
Pos 1: H (North)
Pos 2: Empty
Pos 3: W (North)
Pos 4: Empty
Pos 5: Empty
Pos 6: G (North)
Pos 7: Empty
Pos 8: P
Pos 9: R

"U and L sit immediately left of each other."
This means U and L are adjacent and face opposite directions such that each is to the immediate left of the other.
Empty adjacent pairs available: (Pos 4, Pos 5).
So {U, L} occupy positions 4 and 5.
The remaining empty position for O and J are Pos 2 and Pos 7.
"O sits 2nd to the right of L."
If L is at Pos 4 facing South, 2nd to its right is Pos 2. So Pos 2 = O.
Then Pos 7 must be J.
"L faces the same direction as W." -> W faces North, so L faces North. If L is at Pos 5 facing North, 2nd to its right is Pos 7. Then Pos 7 = O, and Pos 2 = J.
"J sits to the right of O."
If O is at Pos 7 facing South, its right is towards position 2, so J at Pos 2 is to the right of O. This satisfies "J sits to the right of O"!
Therefore:
- Pos 5: L (North)
- Pos 4: U (South) [since U and L sit immediately left of each other]
- Pos 7: O (South)
- Pos 2: J
- Pos 6: G (North)
- Pos 3: W (North)
- Pos 1: H (North)

Step 4: Finding the position of G with respect to J
- J is at position 2.
- G is at position 6.
Counting from J (position 2) to G (position 6):
Position 6 is 4 places to the right of position 2 (or counting positions: 3rd is 1st, 4th is 2nd, 5th is 3rd, 6th is 4th).
Since J faces South (or considering standard relative positions along the row), G is located 4 places to the left/right.
With J facing South, the left of J is towards position 6 (since South-facing right is towards position 1, and left is towards position 9).
Therefore, G is at the 4th to the left of J.