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Solutions
1) Three people went on a trip between V and T.

2) Five people went on a trip between T and W.
3) P went on a trip near to W but not near to V.

4) Four people went on a trip between R and P.
5) U went on a trip before R but not immediately.
(Here, case 2 will be eliminated and we will continue with the case 1)

6) Q went on a trip after S.

Hence, Q went on a trip in July.