Solutions
Given:
- Eight individuals - P, Q, R, S, X, Y, Z, and A
- All of them are seated around a square table facing outward.
- Four of them are seated at each of the corners, while the other four are sitting at the exact center of each of the sides.
Explanation:
1) Only one person sits between P and Q who sits at one of the corners.
2) R sits to the immediate left of Q.

3) Only two people sit between R and S when counted anticlockwise from R.

4) X is not an immediate neighbor of neither S nor Q.
5) Y sits immediately to the right of X.
6) Z sits second to the left of Y.
As there is no possible position for Y in case - (1) therefore this case is eliminated.
After positioning X, Y and Z only one position is left which will be occupied by the only individual left i.e., A.

Thus, according to the final arrangement Q sits third to the right of A.
Hence, the correct answer is 'Option 2'.