Linear Arrangement - Opposite Direction


 
 
Concept Explanation
 

Linear Arrangement - Opposite Direction

Seating Arrangement

  • Arrangement is the positioning of things, persons, etc. in a particular order.
  • Seating arrangement is the manner in which people are arranged to sit around a table, in a row etc.
  • Linear Arrangement - Opposite Direction

    In a linear arrangement, things or persons are arranged linearly in rows or columns. In a linear arrangement, the right or left of a person depends on which direction the person is facing.

    Illustration: Eight persons A, B, C, D, E, F, G, and H are sitting in a straight line at equal distances, but not necessarily in the same order. Four of them are facing north and four of them are facing south.

    D who is facing south is sitting fourth to the left of H, who is sitting between two persons facing opposite directions to each other. Immediate neighbours of B face the same direction. Neither D nor H sits at the extreme ends. G is sitting third to the left of C and is sitting at one of the extreme ends. A and D are immediate neighbours and face opposite directions to each other. E is sitting to the immediate right of G, who is fifth to the left of F. D and G face the same direction.

    Who is sitting exactly between the B and E?

     A. C,D                  B. C,H                     C. G,C                  D.  A,F                  E. None of these

    Answer: B

    Solution: According to the first statement it is given that D who is facing south is sitting fourth to the left of H. and also D does not sit at the extreme ends. The two possibilities are shown in the figure I and figure II.

    Figure I

    Figure II

    In the statement it is given A and D are immediate neighbours and face opposite directions to each other. So according to the figure I the two possibilities are shown in Figure III and Figure IV 

    Figure III

    Figure IV

    and according to Figure II the two possibilities are shown in Figure V and Figure VI 

    Figure V

    Figure VI

    In the statement it is given G is sitting third to the left of C and is sitting at one of the extreme ends. So according to the figure III the possibility is shown in Figure VII  and according to the figure IV the possibility is shown in Figure VIII

    Figure VII

    Figure VIII

    And according to the figure V the possibility is shown in Figure IX  and according to the figure VI the possibility is shown in Figure X. G cannot be placed at the other end otherwise C could not be placed according the position given in the statement.

    Figure IX

    Figure X

    In the statement it is given E is sitting to the immediate right of G. So accordingly the figure VII , Figure VIII are eliminated because that position is occupied by H. So according to the figure IX the possibility is shown in Figure XI  and according to the figure X the possibility is shown in Figure XII.

    Figure XI

    Figure XII

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    Sample Questions
    (More Questions for each concept available in Login)
    Question : 1
    Directions: Read the following information carefully to answer the given questions:

    Twelve people are sitting in a straight line in such a way that some of them facing towards north and some of them facing towards south. Each of the them likes different colour either Green or Yellow. The one who likes Green are facing towards north and the one who likes yellow are facing towards south. Not more than two people likes same colour sit together.

    Two people sit between N and T, who likes yellow. Four people sit between T and Q, who doesn’t sit to the left of N. O sits immediate left of T. Both the immediate neighbor of N likes Green. S sit second to the left of M. Both the immediate neighbors of O faces in opposite direction as O. P is not an immediate neighbor of N but likes Green. Only two people sit left of V. S faces in opposite direction as X. N faces towards south. Not more than two people sit between Q and V, who likes Green. M sit second to the left of W, who sits third to the right of R. W likes Green. Only two people sit between U and R, who is not an immediate neighbor of V. Neither O nor M sit at any extreme end of the line. Q likes Yellow. U sits right of O.

    Who is sitting between W and X ?
    Right Option : A
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    Explanation
    Question : 2
    Direction: Study the following information to answer the given questions:
     
    There are eight girls - Madhu, Nupur, Sandhya, Khurshid, Manju, Anshu, Sinny and Suman are sitting in a straight line equidistant from each other (but not necessarily in the same order). Some of them are facing south while some are facing north.
    Anshu faces north. Only two girls sit to the right of Anshu. Sandhya sits third to the left of Anshu. Only one girl sits between Sandhya and Manju. Manju sits to the immediate right of Khurshid. Only one girl sits between Khurshid and Nupur. Both the immediate neighbors of Sandhya face the same direction. Suman sits third to the left of Manju. Sandhya faces the opposite direction as Anshu. Sinny does not sit at any of the extremes ends of the line. Madhu faces the same direction as Khurshid. Both Sinny and Suman face the opposite direction of Nupur.
     
    What is the position of Manju with respect to Nupur?
    Right Option : B
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    Explanation
    Question : 3

    Eight friends P, Q, R, S, T, U, V, and W are sitting in a straight line but not necessarily in the same order. Some of them are facing north while some are facing south. Q sits third to the left of U. Two persons sit between Q and W. U does not sit at any of the extreme ends of the row. R does not sit adjacent to Q and W. S sits second to the right of V. R sits fourth to the right of P. S does not sit adjacent to P. Immediate neighbor of V faces opposite direction. The one who sits at the extreme end faces opposite direction. S faces north and sits immediate left of Q. S and Q face the same direction. An immediate neighbor of U faces the same direction as U. Who sits immediate right of T?

    Right Option : D
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    Explanation
     
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