amanvermagmat
8 people: A, B, C, D, E, F, G, H - are sitting around a circular table, equidistant from each other. All of them are facing the table, so that there are 4 pairs of people who are sitting opposite to each other, facing each other. Who is sitting opposite to A, facing A?
(1) B is sitting exactly 3 places to the right of A, while G is sitting exactly 3 places to the right of H.
(2) C and E are sitting opposite to each other, facing each other. A and H are not adjacent to each other.
Instead of trying to solve this abstractly, we'll draw it out.
This is an Alternative approach.
Writing 8 X's in a circle we can SEE that we need to find the person 4 places to the right of A.
(1) our order contains AXXB and HXXG. We can draw this as AHXBGX so that G and A are opposite of as AXHBXG so that A and an unknown are opposite.
Insufficient!
(2) our order contains CXXXE and A-some number of X-H. Similarly to the above, this can be drawn different ways and is insufficient.
Insufficient!
Combined:
Once again using our drawing, we can see that the only place we can put H is in front of A (as otherwise there is no way to put C and E opposite each other)
Sufficient!
(C) is our answer.