People: Alex, Barton, Chris, Danial, John, Steven and Smith.

Colors: Violet, Indigo, Blue, Green, Yellow, Orange and Red.

Sport: Basketball, Baseball, Hockey, Cricket, Football and Golf.

Note - 1: Their liking towards a CERTAIN sport is dependent on AGE, such that the youngest person LIKES Kabaddi, while the eldest person likes Golf and in that order.1) Only 1 person who likes Orange, is younger than Alex.

(THEREFORE Alex will be 2^nd youngest among them)

2) Only two people are elder than the one who likes Green.

(Therefore person who like green is 3^rd oldest)

3) Barton likes Indigo and is elder than the one who likes Green.

4) Person who play kabaddi likes Violet color.

4) Smith is younger than Steven but is not the youngest one

5) Steven is elder than Danial.

6) Danial is neither the youngest, nor does he like Cricket.

7) Chris is younger than the one who prefers Hockey, but elder than the one who likes Yellow.

(Therefore Chris also will not be the Youngest Person)

⇒ Smith also will not be youngest person as he elder Steven and Danial.

Now only person who is left is John therefore John is youngest person.

7) Chris is younger than the one who prefers Hockey, but elder than the one who likes Yellow.

8) The one who prefers Football, likes Red.

9) The one who prefer Hockey is younger than one who prefer Cricket.

10) Person who elder than Danial like red color

Above Shown combination will be final combination.

Hence, Either Danial or Alex like Baseball.