Question
Which of the following friends, like Purple ?Â
 Read the following information and answer the questions that follow: Seven friends Salman, Sharukh, Varun, Hrithik, Karthik, Amitabh and Rajesh work in seven different studio companies namely Classic, Camera land, Events studio, Dream photo, Imagine studio, LIFETOUCH and Picture perfect 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, studio companies, colours and days of the week are not necessarily in the same order.    Rajesh takes leave on Monday but not in Events studio and Picture perfect . Amitabh works in Imagine studio and takes leave on Friday. The one who works in Classic likes black colour . Varun works in Classic studio company but does not take leave on Tuesday. Sharukh works in Dream photo and takes leave on Wednesday.. Hrithik , who likes white does not work in Classic or Events studio and takes leave on the next day of the day on which Karthik takes, who works in LIFETOUCH . 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 Varun 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 leave.       ÂSolution
According to the definite conditions of the questions, the arrangement is-Â Â Â Â Â 
It is given that Varun does not take leave on Tuesday so Varun 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 Varun 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 Varun .        in the first arrangement, when Varun takes leave on Saturday. So Amitabh 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 Varun and Hrithik takes leave . So, Hrithik takes leave on Monday but it is given that Rajesh takes leave on Monday. So this arrangement is not possible In the second arrangement, when Varun takes leave on Sunday so Hrithik takes leave on Wednesday but it is given that Amitabh takes leave on Wednesday. So this arrangement is also not possible. In the third arrangement, Varun takes leave on Thursday so Hrithik takes leave on Sunday. Sharukh likes purple .      According to the given condition, Rajesh likes green , Salman likes red , Karthik 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 Amitabh likes yellow. 
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