Question
Which of the following friends, like Purple ?Â
 Read the following information and answer the questions that follow: Seven friends Asher, Oliver, Mathew, Daniel, Caleb, James and Lewis work in seven different private companies namely Hindustan, Reliance, Tata, Airtel, Infosys, ITC and Larsen and they take leave on different days of the week from Monday to Sunday and also they like different colours viz.- Red, green, yellow, purple, black, white and brown. The order of friends, private companies, colours and days of the week are not necessarily in the same order.   Lewis takes leave on Monday but not in Tata and Larsen . James works in Infosys and takes leave on Friday. The one who works in Hindustan likes black colour . Mathew works in Hindustan private company but does not take leave on Tuesday. Oliver works in Airtel and takes leave on Wednesday.. Daniel , who likes white does not work in Hindustan or Tata and takes leave on the next day of the day on which Caleb takes, who works in ITC . Two people work on the days between the days on which one who likes black and the one who likes white colour. The one who likes purple takes leave on the day just before the day on which Mathew take and three people takes leave on the days between the days on which the one who likes red and the one who likes brown take. The one who likes green takes leave just before the day on which the one who likes red takes. The one who likes yellow takes leave after the day on which the friend who likes red takes leaveSolution
According to the definite conditions of the questions, the arrangement is-Â Â 
    It is given that Mathew does not take leave on Tuesday so Mathew 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 Mathew 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 friend 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 Mathew .        In the first arrangement, when Mathew takes leave on Saturday. So James likes purple.  According to the condition, two friends 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 Mathew and Daniel takes leave . So, Daniel takes leave on Monday but it is given that Lewis takes leave on Monday. So this arrangement is not possible In the second arrangement, when Mathew takes leave on Sunday so Daniel takes leave on Wednesday but it is given that James takes leave on Wednesday. So this arrangement is also not possible. In the third arrangement, Mathew takes leave on Thursday so Daniel takes leave on Sunday. Oliver likes purple .      According to the given condition, Lewis likes green , Asher likes red , Caleb 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 friend remains so James likes yellow 
As Lewis does not work in Tata and Larson . So Lewis works in Reliance. As Daniel does not work in Hindustan & Tata . So Daniel works in LARSEN . Hence Asher works in Tata . 
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