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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