The person who likes White go immediately before N. More than three persons go between N and O, who likes Red. O does not go on Tuesday. Two persons go between the one who likes White and the one who likes Yellow. There will be two cases: If the person who likes White go on Monday, then N will go on Tuesday and O will go on Sunday. If the person who likes White go on Friday, then N will go on Saturday and O will go on Monday. 
Equal number of persons goes before and after I, who likes Pink. It means I goes on Thursday. But case 1 will get discarded as I likes Pink. 
As many persons go between J and I as many between I and N. M who likes Orange goes before K who likes Black. L does not like Green. We know that only one person goes between I and N. So, J will go on Tuesday. M and K will go on Wednesday and Sunday respectively. Only colour left for N is Green and only person left for the one who goes on Friday is L. Final arrangement as shown below: 
At 2:30 in a clock, the angle between the minute and hour hands is:
At 9:45 in a clock, the angle between the minute and hour hands is:
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