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Linear Arrangement: A Complete Guide for MBA Entrance Exams
Linear arrangement is one of the most important and scoring topics in Logical Reasoning for exams like CAT, XAT, and MBA CET. It involves placing people or objects in a straight line based on a set of conditions. The goal is to decode relationships such as left, right, immediate neighbours, and relative positions.
The first step in solving any linear arrangement puzzle is to identify the direction. If people are facing north, then left and right are straightforward. However, if they are facing south, directions reverse, which is a common trap in exams. Always fix the direction before starting.
Next, focus on strong clues. Statements like “A is third to the left of B” or “C is immediately right of D” should be converted into a visual structure. These form anchor blocks that guide the entire arrangement. For example, “A is immediately right of B” becomes a fixed pair: B A.
Another key strategy is to handle indirect clues carefully. Conditions like “A is not next to B” or “C is somewhere to the left of D” should not be fixed immediately but used to eliminate incorrect cases later.
Creating a blank table or row helps in organizing information step-by-step. Fill in only the certain positions first and avoid guessing. If multiple cases arise, test each case logically and eliminate contradictions.
Practice is essential to master this topic. Start with simple arrangements and gradually move to complex puzzles involving multiple variables like positions, professions, or colors.
With consistent practice and a structured approach, linear arrangement becomes one of the easiest and fastest sections to solve in exams.
Important Points:
Always note the conditions given in short form and represent them pictorially.
If A is sitting to the immediate left of B, then it also means that B is on immediate right of A.
If not specified, assume that all people are facing towards the centre or North (until and unless the direction is specified).
If you are unable to get any useful information from a sentence then better skip that line and move on to next line. Then re-examine the skipped sentence after going through other sentences.
Linear sitting arrangements questions in reasoning Set 10
Study the following information carefully and answer the given questions.
Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other.
In row 1: P, Q, R, S, T and V are seated and all of them are facing South.
In row 2: A, B, C, D, E and F are seated and all of them are facing North. Therefore, in the given seating arrangement, each member seated in a row faces another member of the row.
S sits third to the right of Q, either S or Q sits at an extreme end of the line. The one who faces Q sits second to the right of E. Two people sit between B and F, neither B nor F sits at extreme end of the line. The immediate neighbour of B faces the person who sits third to the left of P. R and T are immediate neighbours. C sits second to the left of A. T does not face the immediate neighbour of D.
Q1. Who amongst the following sit at the extreme ends of the rows?
(a) S, D
(b) Q A
(c) V, C
(d) P, D
(e) Q F
Q2. Who amongst the following faces S?
(a) A
(b) B
(c) C
(d) D
(e) F
Q3. How many persons are seated between V and R?
(a) one
(b) two
(c) three
(d) four
(e) None of these
Q4. P is related to A in the same way as S is related to B based on the given arrangement. Which of the following is T related to, following the same pattern?
(a) C
(b) D
(c) E
(d) F
(e) Cannot be determined
Q5. Which of the following is true regarding T?
(a) F faces T
(b) V is an immediate neighbor of T
(c) F faces the one who is second to the right of T
(d) T sits at one of the extreme ends of the line.
(e) Q sits second to the right of T
Q6. Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group?
(a) A-T
(b) B-T
(c) F-P
(d) C-V
(e) E-Q
SET 2
Twelve people are sitting in two parallel rows containing six people each such that they are equidistant from each other. In row 1, Anika, Bianca, Catlyn, Dhruv, Esha and Feroj are sitting facing South. In row 2, Parul, Qadir, Rudra, Saumya, Tanuj and Vikram are sitting facing North. Therefore, in the given seating arrangement, each member sitting in a row faces another member of the other row. Three persons sit between Catlyn and Dhruv. Either Catlyn or Dhruv sits at an extreme end of the line. The one who faces Dhruv sits third to the left of Rudra. Saumya faces the one who sits third to the left of Anika and he cannot sit adjacent to Rudra. The immediate neighbour of Qadir faces the immediate neighbour of Anika. Only one person sits between Parul and Tanuj, who is facing the one sitting on the immediate right of Esha. Neither Esha nor Feroj faces Rudra. Vikram and Qadir cannot sit adjacent to each other.
Q1. Who among the following faces Bianca?
(a) Parul
(b) Qadir
(c) Tanuj
(d) Rudra
(e) Saumya
Q2. Who among the following sit at the extreme ends of the rows?
(a) Dhruv, Qadir
(b) Tanuj, Feroj
(c) Esha, Saumya
(d) Bianca, Tanuj
(e) Feroj, Qadir
Q3. If Esha is related to Parul in the same way as Catlyn is related to Saumya, which of the following is Anika related to, following the same pattern?
(a) Vikram
(b) Rudra
(c) Qadir
(d) Tanuj
(e) Can’t be determined
Q4. How many persons are sitting between Esha and Feroj?
(a) None
(b) One
(c) Two
(d) Three
(e) Four
Q5. Four of the following five are alike in a certain way based on the given arrangement and so form a group. Which is the one that does not belong to that group?
(a) Parul–Dhruv
(b) Qadir–Anika
(c) Qadir–Feroj
(d) Saumya–Bianca
(e) Tanuj– Anika
Q6. Which of the following is true regarding Parul?
(a) Qadir is an immediate neighbour of Parul.
(b) Parul faces the immediate neighbour of Bianca.
(c) Parul sits second from the left end of the row.
(d) Parul sits at one of the extreme ends.
(e) Parul faces the one who is second from the right end of the row.
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