In a linear seating arrangement, several persons face either north or south and like different cities. Given the following conditions: B sits at the f...
Question
In a linear seating arrangement, several persons face either north or south and like different cities. Given the following conditions:
- B sits at the fourth position from one of the ends.
- The person who likes Hamilton sits fourth to the left of B.
- The number of persons between B and the one who likes Hamilton is one more than the number of persons between E and the one who likes Hamilton.
- Exactly two persons sit between E and F.
- F neither likes Hamilton nor sits to the right of B.
- The person who likes Tokyo sits third to the left of F.
- B and F face opposite directions.
- K sits adjacent to both H and F.
- The immediate neighbors of K face the opposite direction to K.
- The number of persons between K and the one who likes Tokyo is a multiple of 3.
- The number of persons between H and J is three times the number of persons to the right of H.
- J sits to the left of F.
- Exactly one person sits between H and I.
- Exactly three persons sit between D and J.
- Only one person sits to the right of D.
- The person who likes Boston sits fourth to the left of D.
- Exactly one person sits between J and the one who likes Houston, who faces north.
- G sits second to the left of J, and both face the same direction.
- The person who likes Madrid sits third to the left of E.
- The person who likes Toronto sits second to the left of I.
Based on the above information, which of the following statements is/are true?
I. More than 20 persons sit in the row
II. J likes Boston city
III. An even number of persons sit between the one who likes Tokyo and the one who likes Houston