T sits 4th to the left of Q, who faces outside. U sits immediate left of R, who faces towards the centre. X sits 3rd to the left of R. So, T sits either 2nd to the right of R or 4th to the left of R. Also, X sits either immediate right of Q or 5th to the left of Q. Case I: T sits 2nd to the right of R: 
Case II: T sits 4th to the left of R: 
Two persons sit between X and P, who doesn’t sit 2nd to the left of T. S and V sits immediate left of each other, this is not possible in case II, so case II is rejected. S and T face same direction. So, S and T face towards the centre and V faces outside. 
Y doesn’t sit adjacent to R. V and W face same direction as P. U and Y face same direction as X. X doesn’t face outside. So, W faces outside and sits adjacent to R and Y sits immediate right of T. Also, U and Y face towards the centre and P face outside. The final seating arrangement is given below: 
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