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Answer

Correct Option is Six

Solution:
From the given statements, W goes to Alleppey in the month which has even number of days on odd date. S goes on 18th one of the month before W’s month. From these conditions we get 3 possible cases. The number of persons go before S is same as the number of persons go after the one who goes Jaipur.
At least four persons go before the one who goes Jaipur. From this condition Case 2 is ruled out now. R goes just after the one who goes to Amritsar but not in the same month. S does not go to Amritsar.The number of persons go between R and W is same as the number of persons go between W and U. Here Case 1 is ruled out now. Three persons go between T and X, who goes to Ladakh.More than three persons go before X (Here only one option left for X).
P goes just before the one who goes to Shimla. Q goes to Humpy. The one who goes to Ooty goes just after the one who goes Agra. So, the final arrangement is-

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