What is the birth year of one who likes

Solution

We have: Age of D is 46 years and likes Blue,that means D was born in 1972.  The difference of age of D and N is 12 years, that means we have two possible year for N, in case (1) N was born in 1984, in case (2) N was born in 1960.  B’s age is equal to the last two digit of birth year of N, that means in case (1) age of B must be either 48 or 84 year but 84 is not valid as no person was born before 1950 thus as B was born in 1970, in case (2) age of B must be either 06 or 60 year but 06 is not valid as no person was born after 2004 thus as B was born in 1958 and B likes PINK. Based on above given information we have: Again, we have: The difference of age of K and B is 6 years, that means we have four possible birth year for K, in case (1a) K was born in 1964, in case (1b) K was born in 1976, in case (2a) K was born in 1952, in case (2b) K was born in 1964.  A’s age is equal to the last two digit of birth year of K, that means in case (1a)& case (2b) possible age of A is either 64 or 46 years, as D was born in 1972 thus A must born in 1954, in case (1b) possible age of A is either 67 or 76 years, as no person was born before 1950 thus A must born in 1951, in case (2a) possible age of A is either 52 or 25 years, as A was not born after 1965, that means case (2a) is not valid. Based on above given information we have: Case (1b) is not valid as J and M was not born on adjacent years and case (2b) is not valid as Difference of age of one who likes Black and one who likes PINK is 16 years. So final is case-1a