Four of the following five are like a group find the one

Solution

E born on the even number date but in the month having 31 days but not in January. Only one person born between E and G, who likes to Blue. G born before E. Only three persons born between H and the one who likes to Green. H born in the month having 30 days but not on the last day of the month. Now there will be two cases: H was born either on 5^th February or 5^th April and the one who likes to Green was born either on 5^th April or 5^th February. More than two persons born between G and F. So, F was born on 20^th April. C and D born in the same month. D born on the even date. So, C and D were born on 5^th January and 20^th January respectively. Only two persons born between F and B, who likes to Orange. So, B was born on 5^th March. Only one person born between the one who likes to Orange and the one who likes to Red. So, the one who likes to Red was born either on 5^th February or 5^th April. Only one person born between the one who likes to White and the one who likes to Green.  Case 1 will get discarded as there is no month left for the one who likes to White. In case 2, the one who likes to White was born on 5^th January. The one who likes to Pink born before the one who likes to Black but born after the one who likes to Yellow.   Final arrangement as shown below: