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Chapter
             Chapter
               3                                   Linear Arrangement



















                                  Section                    Level                No. of Questions
                          Concept Applicator                Very Easy                    25

                          Concept Builder                     Easy                       23
                          Concept Cracker                   Moderate                     28

                          Concept Deviator                   Difficult                   25
            THEORY

            In Linear arrangement problems we are generally given a set of information about positioning of different elements
            with respect to other elements. From the given set of information we have to use the given information systematically
            to find the actual arrangement of the elements. The arrangements can be in a straight line, on chair, in rooms in a row.
            Another type of arrangement is arrangement in two rows parallel to each other.
            Left & Right: We can use Left and Right as per Information that generally is given and its interpretation is as follows:
            •  Left & Right: We can use Left and Right as per our convenience. Generally (and in this book) we will use as
               follow:
                Left End                                                                              Right End

            •  A is 2 places right of B: Generally students used to get confuse that how many gaps are there between A and
               B. Here in this case there is only 1 gap between A and B. As it is explained in the diagram below.

                                st
                                                               rd
                                                nd
                Left End       1  Place        2  Place       3  Place         Right End
                               B                              A
            •  A is 3 places left of B: Here in this case there is only 2 gaps between A and B. As it is explained in the diagram
                               st
                                                  th
               below. If B is at 1  place then A ia at 4  place.
                                              nd
                               st
                Left End      1  Place      2  Place       3rd Place       4th place     Right End
                              B                                            A
            •  A stays 2 places away of B: Here in this case it is not given who is in right and who is in left so we have two
               different cases:

                                                               rd
                                                nd
                                st
                Left End       1  Place        2  Place       3  Place         Right End
                               B/A                            A/B
                                                                                                         rd
            •  A stays 2 places away of B who is 3 place left of C: In this case, we can assume that B is at 3  place then
                       th
               C is at 6  place,
                                                                                     th
                                                                          th
                                                              th
                                         nd
                             st
                                                    rd
                Left End    1  Place    2  Place  3  Place   4  place    5  place  6  place    Right End
                                                  B                                C
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