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June 17, 2013

How to solve Seating Arrangement Problems ?

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Seating Arrangement or Seating Plan is just a diagram or a set of writteninstructions that determines where people should take their seats. This is one of the crucial and promising sections of banks and other competitive exams. But as we have already discussed in our earlier post, even a single mistake can ruin your entire answer in result ending up with losing 5 marks allotted to this area. So we have to be little cautious while doing seating arrangement problems.

 

Seating Arrangement Introduction :

Shortcuts to Seating Arrangement ProblemsSeating Arrangement is not any new word which directly invented / introduced for competitive exams. Its just picked up from our daily life. We follow this strategy in formal dinners, weddings, theaters, trains etc to avoid chaos and confusion upon entrance. But in competitive exams we should arrange given people in a specific shape. Most widely asked shapes are Circular, Octagonal, Square, Rectangle and Two or Three parallel lines. 

Generally as soon as seeing the question, people tend to draw the shape mentioned in the question. And latter put dots or lines according to the given details. Its not good practice I must say. Because it ruins your valuable time and often leads to extra confusion. So better use straight lines instead of circles and shapes. Drawing straight lines instead of circles also make it easier to find who is sitting opposite to whom.  Lets have a look at below diagram for detailed understanding. 

Ex : Assume that you have been asked to draw a circular seating arrangement of six people.
seating arrangement













you can follow the above mentioned lines strategy for all shapes either it may be square, pentagon, hexagon etc.

Now try to remember some important points :
  • If A is sitting immediate left of B, that means B is on immediate right of A.
  • To avoid confusion of left and rights in circular and other shapes' seating arrangement problems, you should assume that all people are facing to center (unless and until they specify the direction).
  • Its always better idea to assume you are one among them so that it will be easier for you to get an idea of the arrangement.
  • If you are unable to get the idea from a line then better skip that line and go to next line. You can revisit to the skipped line after getting another clue.

now lets have a look at some problems on seating arrangement so that you will get the concept clear.

Note :  In seating arrangement problems

1. Six persons A, B, C, D, E and F are sitting around a circular table. B is sitting to the immediate right of E. C is not sitting next to F. F is sitting opposite to B and D is sitting opposite to E. Who is sitting to the immediate left of D ?

Solution :

Its given that there are 6 persons sitting around the table. Six persons that means you should represent 6 points. That means 3 lines. Draw 3 lines as shown in the below figure. Later it is given that B is sitting to the immediate right of E. So we shall start with E.  Just choose any of the end of the line and mark it as E. And B is sitting immediate right to E. So put B at the right side of E. Now the arrangement will be look like this,














Later its given that C is not sitting next to F. We don't have any idea about this statement at present. So skip to next statement, i.e., F is sitting opposite to B. We know where B is. So mark F to the opposite to B

Its also given that  D is sitting opposite to E. So mark D as opposite to E. Now the arrangement will look like,

















So only A and C are available.... Now go to the previous statement which we have skipped. C is not sitting next to F.  With this statement its clearly known that we cant place C besides F. So we can place A there. And now there is only one gap between D and B. We can place C there. So the final arrangement of seating will be appear like this.


















Now lets have a look at another problem.

2. Eight persons P, Q, R, S, T, U, V and W are sitting around a circular table. 'S' is to the immediate right of W. 'V' is not next to either R or T. 'W' is to the immediate right of T, who is sitting opposite to R. U and W are sitting opposite to each other. Followed by some questions...

Solution : Here there are 8 persons. That means 4 lines.

Given that S sat immediate right of W. So start with W. And place S immediate right to W.
'V' is not next to either R or T.. No clue about this statement. So skip it.
'W' is to the immediate right of T, who is sitting opposite to R.. We know where W is... Given that it is immediate right of T. That means T should be immediate left of W. Now from the above statement we came to know that T is sitting opposite to R. So place R opposite to T. Now the arrangement will appear like this...

















No check the skipped statement.  'V' is not next to either R or T. That means, we cant place V neither on both vacant sides of R nor at the single side of T. So the only vacant place remaining was opposite to S.

U and W are sitting opposite to each other. So just place U opposite to W. Now there are 2 vacancies and two people (P and Q) are pending. There is no specific clue to find out their exact places. So there are equal chances for them to place any of the side. Usually they leave blanks like this to make you confused. In these cases its better to write P/Q (P or Q) at both the sides. In-fact they wont ask questions about P/Q because they left them clueless. So finally the arrangement will appear like this. 


















Now lets have a look at some questions based on above arrangement.


  1. Who is sitting opposite to 'S' ?
    1. V
    2. R
    3. T
    4. U
    5. None of these
  2. Who is sitting two places to the right of 'W' ?
    1. P
    2. S
    3. V
    4. Can't Say   
    5. None of these
  3. If R and V interchange their places, then who is opposite to 'T' ?
    1. P
    2. S
    3. R
    4. V
    5. None of these
  4. If V is to the immediate left of 'P', then who is to the immediate left of 'R' ?
    1. U
    2. P
    3. Q
    4. Can't Say
    5. None of these 
That's all for now Friends. In our next post we shall discuss some more practice problems on seating arrangement. Good Day :)

98 comments:

  1. One of the best posts of Gr8AmbitionZ. Thank you guys :)

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  2. ssc cgl tier1 answer key and uiicl descriptive admit card are available

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    Replies
    1. Thank you so much for the updates Vikram :)

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    2. Awsome post sir,thank u so much sir,explain more topics from reasoning

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  3. Mam now a days they ask sitting arrangement qus with gender and how many couples like that pls give some example of that type que...

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    Replies
    1. Agreed Friend. This is just our initial post only. We just covered the basics of seating arrangement in this post. We will increase the difficulty levels from our next post.

      Delete
  4. cgl answer key is available in official website of ssc.

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  5. its really nice...........thanx

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  6. nice post...could you please post some problems having mixed nature of blood relations and seating arrangements..

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  7. mam what about bob manipal paper please post an article on it also

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  8. apne prblm 1 ke soplution me yh btya h ki F is sitting opposite to E pr question me likha h ki F is sitting opposite to B . plzz is ko sahi kar do

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    Replies
    1. You are correct friend. Its a typing mistake. Corrected now. Sorry for the inconvenience. Thank you so much for pointing out the mistake.

      Delete
  9. good job...kudos!!

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  10. its gud nd easy tips..thnx mam

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  11. You guys r simply best...doing a great job..keep it up my friends..

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  12. Thank your madam, please provide seating arrangement problems with designation cum seating, for example A is a doctor who sits third to the right of lawyer...

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  13. what if the number of persons are odd? How many lines to draw then??

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    Replies
    1. Good Question. Then you just should add an additional "Half Line" from the center.

      Delete
  14. plz provide hindi verson also.

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  15. One of the best posts... Good work. In the future add puzzles like gender, persons with playing games too with seating arrangement pblms..

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  16. Bahut - bahut dhanyawaad. mein isme bahut jayada confuse tha. thanks

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  17. thank u so much shiv i was worried abt sitng arngement bt nw i knw d cocept

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  18. thanks a lot, it's much usefull

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  19. thanx u this will very helpful me for competitive exam

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  20. thanku so much great knowledge...

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  21. Awesome..timely help and really this website will become popular all over India very soon..

    By Buela

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  22. thank you guys this concept is very help full to me .....

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  23. Dear Sir,
    In current IBPS PO Exam we faced questions like some of members not facing the Center. How to Solve this kind of questions. Please try to elaborate some questions of this type

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    Replies
    1. sir,
      Give the tips realated PO model circles,it will help ful for IBPS SO,so please give me as soon as possible

      Delete
  24. very helping and simple concept, thanx

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  25. Good evening sir, i just came to know about this site as my friend told me, this is very useful and awesome sir, thats a gr8 job sir u really help us a lot, but sir iam unable to solve the seating arrangement problem when some persons facing centre and the rest facing out side can u plz explain me sir......

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  26. thanks a lot sir can u plz explain how to solve the problem when some persons facing centre and the rest facing outside

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  27. and there are odd number of people?

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  28. it's nice shortcut and also super....

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  29. Thanks sir...really so much helpfull.......

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  30. no words to say.......superb

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  31. its really very nice i got to understand the sitting arrangement concept cos u of only thanku so much :)

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  32. explain some difficult questions of seating arrangement as like blood relationship & circular seating arrangement mix togather .

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  33. But how we draw for odd no of peoples

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  34. But how can we draw for odd number people ... just simply intersecting one more half line bw any two???

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  35. thank you it is very usefull

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  36. friend!!!!!!!! i need po model seating arrangement models and techniques pls upload as soon as possible

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  37. lease explain answer of the fourth question

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  38. superb post,thank you so much

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  39. hi.. i need more example for same type of problem with extra information like, a b c d 4 person and they are studying 4 different x y z w college and different department Cse, ece, eee, bio tech not in same order .

    I need wast explanation to solve this kind of problems..

    inee

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  40. its the best way for answering for seating arrangement

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  41. post some more.........u have done a terrific job........
    send some tips to my mail:manji8693@gmail.com

    ReplyDelete
  42. Its really helped me......thanks......
    kindly send me some pdf regarding ENGLISH section....
    It will help me a lot.....
    Regards,
    manishkrbhadani@gmail.com

    ReplyDelete
  43. thanks goood poast but please help in mix directions like two people sitting other direction and other people in other in that case which is the simple way to solve that

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  44. good post please help in sitting arrangement people are facing to different direction

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  45. hello mam i was confused with the directions i.e about where to place immediate left/right positions plzzzzzz tell some clues...

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  46. Hello

    U have made it so simple....Thanks a lot...

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  47. Though its fantastic but very simple please post high model seating arrangement,becoz in real exam question should not be easy like this question. I need double or triple variation of seating arrangement.So plz plz post difficult question thanks a lot for inspiration

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  48. Eight colleagues A, B, C, D, E, F, G and H are sitting around a circular table facing
    the centre but not necessarily in the same order. Each one of them holds a different
    post viz. Manager, Company Secretary, Chairman, President, Vice-President,
    Group Leader, Financial Advisor and Managing Director.
    A sits third to right of the Managing Director. Only two people sit between the
    Managing Director and H. Vice President and the Company Secretary are immediate
    neighbours of each other. Neither Anor H is a Vice President or a Company Secretary.
    Vice President is not an immediate neighbour of the Managing Director. Manager sits
    second to left of E. E is not an immediate neighbour of H. The Manager is an immediate
    neighbour of both Group Leader and the Financial Advisor. Financial Advisor
    sits third to right of B. B is not the Vice President. C sits to the immediate right of the
    Chairman. A is not the Chairman. F is not an immediate neighbour of A. G is not an
    immediate neighbour of the Manager.

    Can you pls help out in the above

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  49. Eight colleagues A, B, C, D, E, F, G and H are sitting around a circular table facing
    the centre but not necessarily in the same order. Each one of them holds a different
    post viz. Manager, Company Secretary, Chairman, President, Vice-President,
    Group Leader, Financial Advisor and Managing Director.
    A sits third to right of the Managing Director. Only two people sit between the
    Managing Director and H. Vice President and the Company Secretary are immediate
    neighbours of each other. Neither Anor H is a Vice President or a Company Secretary.
    Vice President is not an immediate neighbour of the Managing Director. Manager sits
    second to left of E. E is not an immediate neighbour of H. The Manager is an immediate
    neighbour of both Group Leader and the Financial Advisor. Financial Advisor
    sits third to right of B. B is not the Vice President. C sits to the immediate right of the
    Chairman. A is not the Chairman. F is not an immediate neighbour of A. G is not an
    immediate neighbour of the Manager.

    can you help out in the above

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  50. Soln for above qus of arun siva chandran

    A - PRESIDENT, B- COMPANY SECRETARY,

    C- MANAGING DIRECTOR, D- FINANCIAL ADVISOR,

    E- CHAIRMAN, F- GROUP LEADER,

    G- VICE PRESIDENT, H- MANAGER

    A is opposite to E
    G is opposite to F
    B is opposite to H
    C is opposite to D

    A is immediate left to D, right to G
    B is immediate left to G, right to C
    E is immediate left to C, right to F
    H is immediate left to F, right to D

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  51. HI Divyasree,

    Pls explain hw did you found A,B,C.. viz their posting like M.D,group leader..

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  52. Can anybody suggest me the tricks or less time consuming methods to solve the above mention problem by Arun siva chandran?

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  53. hi Arun siva chandran ,if you find the easy way to solve these type of problem, please tell me. My email id is pkthkr1111@gmail.com

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  54. hi arun siva chandran ,if u find the easy to solve the above types of problem,please tell me......

    ReplyDelete
  55. I have understood the basic concept but could you please tell me how to answer if there is anything like one is facing towards the centre and the other is not facing the centre.

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  56. Let draw 1 to 8 in clockwise direction
    1. Suppose M.D. is at No.1 facing the centre then A is at No. 6 because A sits 3rd to right of M.D.
    2. Only two people sit b/n M.D. and H.. means H is 3rd to left of M.D
    3. V.P. & C/S sits immediately each other…. So they must sit in No. 2, 3 or No. 7,8
    4. V.P. is nt an immediate of M.D.- means V.P. may sit at No. 3 or 7
    5. A & H are nt V.P. & C/S
    6. Since E is nt an immediate neighbor of H… E may sit at No.2
    7. Manager sits 2nd to the left of E. ->So H will be the Manager
    8. Manager will be the immediate neighbor of F.A. & G.L. Means V.P. & C/S sits in No. 7,8 & also F.A. & G.L. may sit in No. 5, 3
    9. F.A. sits 3rd to the right of B
     If F.A. is at No. 3 then B should be at No. 6…. A is already at No. 6.. X
     If F. A. is at No. 5 then B should be at No. 8.. is clear *
    10. B is at No.8, F.A. is at No. 5 and G.L. is at No. 3
    11. Since B is nt the Vice President… clearly V.P. sits at No. 7 and B will be the C/S at No.8
    12. C sits to immediate right of Chairman……….. Since A is nt Chairman…… E will be the Chairman and C will be at No. 1 as M.D.
    13. G is nt an immediate neighbor of Manager… So G will be at No. 7 as V.P.
    14. F is nt an immediate neighbor of A… So F will be at No. 3 as G.L.
    15. Finally from above conclusions we can draw D will be at No. 5 as F.A. A will be President
    From all the above,
    a. At No.1 , C – M.D.
    b. At No. 2 E – chairman
    c. At No. 3 F – Group Leader
    d. At No. 4 H- Manager
    e. At No. 5 Fin. Advisor- D
    f. At No. 6 A- President
    g. At No. 7 G – Vice Pres
    h. At No. 8 B – Comp. Sec

    ReplyDelete
    Replies
    1. Great Divyashree....thank you

      Delete
  57. please do the some more problems
    Thank You

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  58. can one explain what is meant by " 2 places left of A "

    does it mean leaving 2 places or the 2nd place to the left. ?

    plz anyone tel me..

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  59. i.six players A,B,C,D,E,F are to be staged from Monday to Sunday - one play on each day with one day as rest day(R).
    ii. U is staged on fourth day after Q.
    iii. P is staged three days prior to T.
    iv. rest day(R) which is midway is on the 2nd day after S.

    Questions:-
    1.how many days gap is there b/w V and Q?
    2. which play is staged on Sunday?
    3. which day is Q played?
    4.which play is preceded by rest day?
    5. who play on Friday?

    ReplyDelete
    Replies
    1. Sun: V
      Mon: Q
      Tue: P
      Wed: S
      Thu: R
      Fri: U
      Sat: T

      Delete
  60. thank you so much

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  61. Very helpful I never read such kind of stuff related to reasoning in books

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  62. very helpful... thanks

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  63. seating arrangement questions some persons facing centre and some persons facing outside plz how to solve this problem

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  64. mam can you give any examples of two circles one is inner facing and one is outer facing

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  65. can yu plz post the questions wich includez both inward & outward in same questn.....nd the easy way to solve it

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  66. Mam can u provide us with 1 in which few people faces centre and few outside....
    And last year Po ques too if possible ....thank u

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  67. please give inward,outward questions on seating arrangement

    ReplyDelete

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