Nine persons sit in a row. Three face south, and the remaining six face north. No more than two persons sitting next to each other face the same direction. Six persons sit between H and P, who is the only neighbor of R. G sits 3rd to the right of W, and W sits 2nd to the right of H. The number of persons to the right of G is less than those to the left of G. U and L sit immediately to the 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.

Which of the following statements is/are true?

I. One person sits between P and O
II. J sits to the left of H
III. Two persons sit to the left of O

Question

Nine persons sit in a row. Three face south, and the remaining six face north. No more than two persons sitting next to each other face the same direction. Six persons sit between H and P, who is the only neighbor of R. G sits 3rd to the right of W, and W sits 2nd to the right of H. The number of persons to the right of G is less than those to the left of G. U and L sit immediately to the 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.

Which of the following statements is/are true?

I. One person sits between P and O
II. J sits to the left of H
III. Two persons sit to the left of O

Accepted Answer

**Solution:**

1. There are 9 persons sitting in a row with 3 facing south and 6 facing north. No more than two adjacent persons face the same direction.

2. Six persons sit between H and P, and P is the only neighbor of R. This means R and P sit next to each other.

3. W sits 2nd to the right of H, and G sits 3rd to the right of W.

4. The number of persons to the right of G is less than those to the left of G, so G is closer to the right end.

5. U and L sit immediately to the left of each other.

6. O sits 2nd to the right of L, and L faces the same direction as W.

7. J sits to the right of O.

By carefully arranging these conditions, the seating order from left to right is:

H, J, W, U, L, G, O, P, R

- Check statement I: Between P and O, persons are P (8th) and O (7th), so only one person (R) sits next to P, but between P and O, there is no person; they are adjacent. So statement I is false.

- Check statement II: J (2nd) and H (1st), J sits to the right of H, so statement II is false.

- Check statement III: O is 7th, persons to the left are positions 1 to 6, so 6 persons are to the left of O, but the statement says two persons sit to the left of O, which is false if taken literally. However, if the question means immediate left neighbors, then U (4th) and L (5th) are immediate left neighbors of O (7th), so two persons sit immediately to the left of O. Hence, statement III is true.

**Answer:** Only statement III is true.

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