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Answer

Correct Option is Rome

Solution:P goes on vacation in the month which has even number of days and likes Paris. Three persons go between P and R. Two persons go between R and the one who likes Dubai. Equal number of persons go after R and before T. The one who likes Hawaii goes in August. There are three possibilities-

Q goes on vacation in the month just before O. Q does not go in the month which has an odd number of days. From this condition case-3 will be eliminated. M goes in the month after the one who likes Bali. M goes in the month which has an odd number of days. S does not go in the month which has an odd number of days. N is one of the persons. From these conditions, case-2 ruled out.

Same numbers of person go after the one who likes Bali and before the one who likes Cairo. M does not like Cairo. The person who likes Rome goes before the one who likes Santorini and after the one who likes Maldives. T does not like Cairo and Santorini. The final arrangement is-
 

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