Less than 10 persons are seated in a straight line facing north. The persons sitting at both ends like Fruits, and those sitting in the middle like Colors. C likes Banana. Two persons sit between C and E. Two persons sit between G and B, who likes Pink. A is 3rd to the left of F. F is a neighbor of B. The one who likes Apple sits 2nd to the right of B. B is a neighbor of E. The number of persons between the one who likes Pink and the one who likes Banana is the same as the number of persons between the one who likes Apple and the one who likes Blue. Two persons sit between the one who likes Blue and the one who likes Brown. The one who likes Red sits 2nd to the left of the one who likes Black.

If D likes Apple, how many persons are seated between D and F?

Question

Less than 10 persons are seated in a straight line facing north. The persons sitting at both ends like Fruits, and those sitting in the middle like Colors. C likes Banana. Two persons sit between C and E. Two persons sit between G and B, who likes Pink. A is 3rd to the left of F. F is a neighbor of B. The one who likes Apple sits 2nd to the right of B. B is a neighbor of E. The number of persons between the one who likes Pink and the one who likes Banana is the same as the number of persons between the one who likes Apple and the one who likes Blue. Two persons sit between the one who likes Blue and the one who likes Brown. The one who likes Red sits 2nd to the left of the one who likes Black.

If D likes Apple, how many persons are seated between D and F?

Accepted Answer

**Solution:**

1. Since less than 10 persons are sitting in a line and the persons at both ends like Fruits, the two ends are occupied by fruit likers.

2. C likes Banana, so C must be at one end (either left or right).

3. The one who likes Apple sits 2nd to the right of B, so Apple must be towards the right end, making C at the left end.

4. Two persons sit between C and E, so E is placed accordingly.

5. B is a neighbor of E and F is a neighbor of B.

6. A is 3rd to the left of F.

7. Two persons sit between G and B.

8. The number of persons between Pink (B) and Banana (C) equals the number of persons between Apple (D) and Blue.

9. Two persons sit between Blue and Brown.

10. Red sits 2nd to the left of Black.

By placing D as Apple, and following all conditions, it turns out that no person is seated between D and F.

**Answer:** None

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