A certain number of persons sit in a straight line, all facing north. Four persons sit between A and B. G sits second to the right of B. There is exactly one person between G and K. The number of persons between B and K is equal to the number of persons to the right of K. V sits fifth to the left of G. P sits third from one of the extreme ends and is immediately to the left of V. P also sits to the left of A.

If P sits exactly between V and R, then how many persons sit between R and G?

Question

A certain number of persons sit in a straight line, all facing north. Four persons sit between A and B. G sits second to the right of B. There is exactly one person between G and K. The number of persons between B and K is equal to the number of persons to the right of K. V sits fifth to the left of G. P sits third from one of the extreme ends and is immediately to the left of V. P also sits to the left of A.

If P sits exactly between V and R, then how many persons sit between R and G?

Accepted Answer

**Solution:**

1. Since A and B have four persons between them, the distance between A and B is 5 seats.

2. G sits second to the right of B, so if B is at position x, G is at position x+2.

3. There is exactly one person between G and K, so K is either one seat to the left or right of G with one person in between.

4. The number of persons between B and K equals the number of persons to the right of K. This helps fix K's position relative to B.

5. V sits fifth to the left of G, so if G is at position y, V is at y-5.

6. P sits third from one extreme end and is immediately to the left of V. Also, P is to the left of A.

7. Given P sits exactly between V and R, the order is V - P - R or R - P - V.

8. By arranging all these conditions carefully, the number of persons between R and G is found to be 6.

**Answer:** Six

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