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42                                                                                     Linear Arrangement

                                                    Concept Cracker


            Solution for 1 – 3:                                  8.   (d) The arrangement with the given condition is not
            1.     (c) Given tasks are A, B, C, D, E (Here we will assume   possible as it contradicts the given conditions.
                the condition to complete the work at the earliest)  9.   (a) The arrangement in this case could be:
                           st
                  From the 1 condition- Task A → from 9 am to 11      Nepalese  Iraqi  Englishman  Chinese  Indian
                am,                                                   So Iraqui will be on track 2.
                  From the 2 nd  condition B → from 11 am to 12 noon   10.  (d) Initial Position is V1 V2 V3 V4 V5 V6
                (Since it has started after completion of A)          Now from the 1  condition: V2 V5
                                                                                    st
                          rd
                From the 3 condition C → from 12 noon to 1 pm         From 2  condition  V6 V4 and none of them at
                                                                             nd
                                                                                                                   st
                Task D’s one hour work will be done along with B.     position number three hence they cannot be at 1
                D’s second hour work will be done along with C        three places.
                                                                            rd
                Hence to commence E, D must complete 3 hrs.           From 3  condition V5 V1 V3
                                                                          th
                Hence timing of task D → from 11 am to 2 pm and       At 5  place even numbered book is placed.
                After this the remaining task E → From 2 pm to 3 pm     From these information we can conclude that:-
            2.   (c) From the above solution E starts from 2 pm.      V2 V5 V1 V3 V6 V4 hence 4 is correct.
            3.   (b) From the  solution  of previous  questions  Ajay   Solution for 11 – 15:
                completed tasks at 3 pm.                              Vicky > Priya
            Solution for  4 – 6:                                      Priya > Ankit
            Given that Six products - Ariel, Vivel, Rin, Nirma, Gillette      One of them is true- Raman is highest or Tony is least
            Gel and Pepsodent                                         or Sunil got highest and Deepak got least.
                  st
            From 1 condition: Rin and Ariel are next to each other.      Now for each and every question we have different
                   nd
            From 2  condition  at least two products are between      cases -
            Ariel & Nirma                                        11.   (d) Since Sunil got the sixth and Ankit got the fifth
                                                                      rank, hence we can conclude that Raman must have
                  rd
              From 3  condition Pepsodent is kept between Gillette Gel   got the highest  and  Tony  must have  got the least
            and Rin, and at least 2 products between Pepsodent and    rank. And the order  of ranks of Vicky, Priya and
            Vivel.                                                    Ankit must be Vicky > Priya > Ankit. Vicky must
                  th
            From 4 condition: Vivel and Rin can not be next to each   have got the second or third rank and accordingly
            other.                                                    Priya must have got the third or fourth rank. Deepak
                  th
                                               st
            From 5  condition Vivel is not kept at 1  window.         must have got any rank among two, three and four.
            Final arrangement  would be Nirma Gillette Pepsodent   12  (c). If Raman gets the highest, then Tony will get least
                                                                                     th
            Rin Ariel Vivel                                           and be ranked 7 .
            4.   (c) From case II of the above table Rin is left of Ariel.      Now since Priya and Ankit are always ranked
                Hence, the answer is (3).                             numerically higher than Vicky.
                                                                                                                 th
            5.   (c) If we interchange the position of Rin and Ariel,      Hence, Vicky can never be ranked lower than 4 .
                                                                                                  st
                the item displayed in window 5 will be Rin.      13.   (d) Given that Ankit is ranked 1 . But is not possible
            6.   (c) Except Rin, the product displayed left of Ariel but   as he always scores less than Vicky and Priya. Hence
                right of Gillette Gel is Pepsodent.                   this case is not possible and data is inconsistent.
            Solution for  7 – 9:                                 14.   (a) If Sunil gets the second rank, then Raman gets
                                                                      the first rank and Tony gets the last rank. In that case
            There are five tracks T1  T2  T3   T4  T5                 Vicky’s rank can be 3 or 4, and Priya’s rank can be
            Chinese --- Indian (Chinese is left of Indian)            4 or 5 and Ankit’s rank can be 5 or 6 then Deepak’s
            7.   (c) Chinese   Indian/Iraqi   Nepalese                rank can be 3, 4 or 5.
                Iraqi/Indian  Englishmen.                        15.  (a) If Vicky is ranked 5 , then Priya is ranked 6  and
                                                                                         th
                                                                                                               th
                Hence the Indian and the Iraqi should be in track     Ankitis ranked 7 . Then only possibility is Sunil is
                                                                                     th
                2 and track 4 in any order.                           ranked 1 .
                                                                              st
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