Out of the eight friends A, B, C, D, E, F, G and H sitting around a circular table. How many person faces the centre?
I. F is immediate neighbor of E but not the neighbor of A. E is not an immediate neighbor of D or C. Three of them are facing the centre.
II. The only one who is sitting in between D and F, is not facing the centre. G is third to the right of A and is facing the centre. C is third to the left of D and both are facing the centre. B is the neighbour of F.
III. F is an immediate neighbor of B and facing outside.
From I and II: From II, C is third to the left of D and both are facing the centre. From I, E is not an immediate neighbor of D or C. E can either be seated at 6 or 7.
F is an immediate neighbor of E but not of A. And B is the neighbour of F. Thus, in case I, F cannot be seated at 5 because then B cannot be a neighbor of F. Thus F sits at 7 when E sits at 6 and B sits at 8. Similarly, when E is at 7, F cannot be at 8. Thus F sits at 6 when E sits at 7 and B sits at 5. But according to II, The only one who is sitting in between D and F, is not facing the centre. Thus, only person sitting between D and F. Thus, case II discarded.
G is third to the right of A and is facing the centre. Also, only three people face the center. Thus A is facing outside.
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