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According to the definite conditions of the questions, the arrangement is- It is given that Arjun does not take leave on Tuesday so Arjun can take leave on Thursday or Saturday or Sunday. According to the question, the one who likes purple takes leave on the day just before the day on which Arjun takes leave and three people takes leave between the days on which the one who likes yellow and the one who likes brown takes. The person who likes green takes leave just before the day on which the one who likes red takes leave and the one who likes yellow takes leave after the day on which the one who likes red take. So, three conditions are applied on all the possible arrangements of Arjun . In the first arrangement, when Arjun takes leave on Saturday. So Jatin likes purple. According to the condition, two persons take leave between the days on which the one who likes black & the one who likes white take leave that means two people takes leave between the days on which Arjun and Shubham takes leave . So, Shubham takes leave on Monday but it is given that Pankaj takes leave on Monday. So this arrangement is not possible In the second arrangement, when Arjun takes leave on Sunday so Shubham takes leave on Wednesday but it is given that Jatin takes leave on Wednesday. So this arrangement is also not possible. In the third arrangement, Arjun takes leave on Thursday so Shubham takes leave on Sunday. Ankit likes purple . According to the given condition, Pankaj likes green , Johny likes red , Karan likes brown colour and it is given that one who likes yellow takes leave after the day on which the one who likes red takes leave. So it can be any day after Tuesday. Only one person remains so Jatin likes yellow
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