Solution

By I and V, Rugby can be on 2nd, 4th or 6th floor. So here we get 4 conditions. By II and IV we get the following arrangement.  By III A lives just above F. Only two persons live between E and A. E does not live on 1st floor. I condition –   By IV and II,   I condition is not possible.     II condition –     By II and IV Basketball can be either above or below F. So here we get two more conditions that is why we will hold this condition and move further with other conditions.  III condition –   By II and IV, C does not like Basketball. B lives on an even- numbered floor and just above C.        By V and VI, The one who likes Table Tennis lives on an even- numbered floor and lives just above the person who likes Wrestling and H lives just below the one who likes Wrestling. By I and VI, the one who likes Volleyball lives on an even- numbered floor. Only two persons live between the one who likes Volleyball and the one who likes Football. This condition is not possible. IV condition –      By II and IV, C does not like Basketball. B lives on an even- numbered floor and just above C.  By V and VI, The one who likes Table Tennis lives on an even- numbered floor and lives just above the person who likes Wrestling and H lives just below the one who likes Wrestling. By I and VI, the one who likes Volleyball lives on an even- numbered floor. Only two persons live between the one who likes Volleyball and the one who likes Football.   By VI, Only one person lives between C and the one who likes Golf. D does not like Archery.  So this condition is the final arrangement.