A certain number of persons sit in a row adjacent to each other. Some of them like different fruits and others like different flowers. Six persons sit between the one who likes mango and the one who likes apple. The one who likes rose sits third to the left of the one who likes apple. Two persons sit between the one who likes rose and the one who likes marigold, who is not a neighbor of the one who likes mango. Only one person sits to the right of the one who likes marigold. No one sits to the right of the one who likes mango.

Note: The one who likes fruits faces South and the one who likes flowers face North.

How many persons sit in the row?

Question

A certain number of persons sit in a row adjacent to each other. Some of them like different fruits and others like different flowers. Six persons sit between the one who likes mango and the one who likes apple. The one who likes rose sits third to the left of the one who likes apple. Two persons sit between the one who likes rose and the one who likes marigold, who is not a neighbor of the one who likes mango. Only one person sits to the right of the one who likes marigold. No one sits to the right of the one who likes mango.

Note: The one who likes fruits faces South and the one who likes flowers face North.

How many persons sit in the row?

Accepted Answer

**Solution:**

1. Let us denote the persons by their liked items for clarity.

2. Given: Six persons sit between the one who likes mango and the one who likes apple.
   - This means the distance between mango and apple is 8 seats (6 persons in between + 2 persons themselves).

3. No one sits to the right of the one who likes mango.
   - Mango is at the extreme right end.

4. So, if mango is at position 15 (assuming total seats = 15), apple will be at position 7 (since 15 - 7 = 8 seats apart).

5. The one who likes rose sits third to the left of the one who likes apple.
   - Apple is at 7, so rose is at 4 (7 - 3 = 4).

6. Two persons sit between rose and marigold.
   - Rose at 4, so marigold can be at 1 or 7 (but 7 is apple's seat).
   - So marigold is at 1.

7. Marigold is not a neighbor of mango.
   - Mango at 15, marigold at 1, so they are not neighbors.

8. Only one person sits to the right of marigold.
   - Marigold at 1, so seat 2 is the only one to the right.

9. Counting seats from 1 to 15 fits all conditions perfectly.

**Answer:** Fifteen

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