Less than 10 persons are sitting 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.

How many persons are sitting between C and the one who likes Brown?

Question

Less than 10 persons are sitting 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.

How many persons are sitting between C and the one who likes Brown?

Accepted Answer

**Solution:**

1. Since less than 10 persons are sitting, let's consider possible numbers.

2. Both ends are occupied by persons who like Fruits. C likes Banana, so C must be at one end (left or right).

3. The one who likes Apple sits 2nd to the right of B. Since Apple is at an end and to the right of B, Apple must be at the right end, so C (Banana) is at the left end.

4. Two persons sit between C and E, so E is 3rd from the left.

5. B is a neighbor of E, so B is either 2nd or 4th from the left. Since Apple is 2nd to the right of B, and Apple is at the right end (7th position), B must be 5th.

6. F is a neighbor of B, so F is 4th or 6th. A is 3rd to the left of F, so if F is 6th, A is 3rd to the left (3rd position).

7. G and B have two persons between them, so G must be 2nd from the left.

8. The persons liking Pink, Blue, Brown, Red, and Black are arranged in the middle positions with given conditions:
   - B likes Pink.
   - Two persons between Blue and Brown.
   - Red is 2nd to the left of Black.

9. After placing all, the total number of persons is 7.

10. Finally, counting the number of persons between C (1st position) and the one who likes Brown (6th position), there are 4 persons between them.

**Answer:** 4

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