Which is the odd man out?

Solution

According to the given information, The one who likes White lives on an even numbered floor but not on topmost floor. Only two persons live between F and the one who likes White. Only one person lives between F and the one who likes Green. The one who likes Green does not live on floor numbered one. A lives just above F. Only two persons live between E and A. Neither E nor C lives on the first floor. B lives on an even numbered floor just above C. If the one who likes White lives on 6^th floor, then we will check case 1 for it, Case 1: If the one who likes White lives on 4^th floor and the person F can live at two places on floor 1^st or at 7^th floor, then one more  case 2.a will be formed of this case 2.  Case 2: case-2a When the one who likes White lives on floor 2^nd then F lives on floor 5^th in case 3.  Now in this Green can be at two places one at floor 3^rd or at floor 7^th, so one subcase will be formed for this case 3. Case 3: In case 1, B and C can only live at floor 2^nd and 1^st but this is not possible as per the data provided in the question that C cannot live at 1^st floor, so this case 1 gets discarded. Let’s continue with the other cases. B and C only can live on floor 8^th and 7^th in case 2, The one who likes Red lives on an even numbered floor and lives just above the one who likes Brown.  H lives just below the one who likes Brown. The one who likes Yellow does not live on an odd numbered floor. Only two persons live between the one who likes Yellow and the one who likes Pink. Now, this is not possible in this case 2 so this vase gets discarded. Let’s move on to other cases.   In this case B live  floor 4^th and C on floor 3^rd. Red and Brown will live at floor 8^th and 7^th respectively. H lives just below the one who likes Brown.  So H, lives at floor 6^th. The one who likes Yellow does not live on an odd numbered floor. Only two persons live between the one who likes Yellow and the one who likes Pink. For this Yellow must be living on floor 6^th and the one who likes Pink on floor 3^rd. D does not like Orange. Only one person lives between C and the one who likes Black. The one who likes Black lives on floor 1^st and is liked by D. Now only G left for floor 2^nd and he likes Orange. We have find our correct case so no need to see the other cases. Hence, the final arrangement of 8^th floor building is as follows;   Case 2.a: