Four of the following five are alike in a certain way

Solution

C sits second to the left of E. E faces the centre. F sits third to the right of C. G sits second to the left of H. H doesn’t face towards the center. G sits opposite to C. If E sits at place no. 2, then C sits at place no. 8. If C faces the centre, then F sits at place no. 5. G sits at place no. 3. H will sit at place no. 1 and faces outside the centre.  G faces the same direction as D. Immediate neighbours of E and F face opposite directions (i.e., if one neighbour faces the centre the other neighbour faces outside and vice-versa) D sits third to the right of B. E sits second to the left of B. Immediate neighbours of B face the same direction (i.e., if one neighbour faces the centre the other neighbour also faces the centre and vice-versa). B will sit at place no. 4 and faces the centre. D will sit at place no. 7. As Immediate neighbours of E and F face opposite directions (i.e., if one neighbour faces the centre the other neighbour faces outside and vice-versa). So, G will face inside the centre and I will also face the same direction as G. Only person left for place no. 6 is A and faces outside the centre. F will face the centre as immediate neighbours of B face the same direction (i.e., if one neighbour faces the centre the other neighbour also faces the centre and vice-versa). Final arrangement as shown below: