We have, V sits third to the right of W. W sits at the middle of the side of the table. One person sits between V and U. From the above condition, there are two possibilities. Again we have, P is sitting neither adjacent to V nor W. From the above condition, there are three possibilities. From the above condition, there are two possibilities. Again we have, S sits second to the right of Q. S does not sit adjacent to W. Q sits third to the right of R. Again we have, T sits neither adjacent to Q nor S. From the above condition, cas1 and case2 get eliminated. Case2a shows the final arrangement.
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