[Aptitude] Logical Arrangement : Circular / Round Table

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  1. Introduction
  2. Circular arrangement
  3. Step 1: Draw the diagrams
  4. Step 2: Run the Checklist
  5. Step 3: Proceed with questions

Introduction

There are 4 types of ‘Logical-Arrangement’ questions

  1. Circular : Sitting In a Round Table
  2. Linear : Sitting in rectangular table or row
  3. Traits: List of people given, A lives in Hyderabad and prefers T  and owns Maruti etc.
  4. Family trees: A is the father of B who is mother Office…

These problems are quite easy to solve but can be very time-consuming if you donot proceed in a proper manner.

Circular arrangement

It is the easiest of all arrangement questions.
However one point must be kept in mind: “A is sitting adjacent to B”= Either A is on left side of B OR A is on right side of B. In short, you’ve to consider multiple possible cases during the calculation.
Let’s try a question

6 people A to F are sitting in a round table. A is not adjacent to B or C; D is not adjacent to C or E; B and C are adjacent; F is in the middle of D and C.

Step 1: Draw the diagrams

It is compulsory to draw diagram. You can’t solve the ‘circular-arrangement’ with drawing diagrams.
Ok, Lot of people are not sitting adjacent to eachother but we can’t use those “negatives” as starting-point to draw a diagram.
Better take the positive statement “B and C are adjacent” as our starting point and proceed.
There are two possible cases

  • Either C is on the right side of B Or
  • C is on the left side of B.

aptitude CSAT CMAT CAT IBPSaptitude CSAT CMAT CAT IBPS
Now use another positive statement: “F is in the middle of D and C.” Fill this in given cases
New diagrams look like this
aptitude CSAT CMAT CAT IBPSaptitude CSAT CMAT CAT IBPS

Now deal with the negative statements:”A is not adjacent to B or C”
Consider case#1: There are only two seats left: skyblue and orange colored.
But A cannot be seated in skyblue chair, because question statement says “A is not adjacent to B or C”
Therefore A can be seated only in orange chair for case #1 and
Similarly for case #2, A can be seated only in Red chair.
After A is seated, there is only one seat left and only one man (E) is left so we place him in the remaining seat.
aptitude CSAT CMAT CAT IBPSaptitude CSAT CMAT CAT IBPS
Alright all seats are now occupied, which means we’ve to run the checklist. IT serves two purposes

  • Incase you made any mistake in arrangement, you’ll find out at this stage OR
  • In One of the two cases, all checklist will not ‘pass’ thus we can eliminate one possible case and will be left with final perfect correct arrangement.

Step 2: Run the Checklist

ChecklistCase 1Case 2
A is not adjacent to B or CPassPass
D is not adjacent to C or EPassPass
B and C are adjacentPassPass
F is in the middle of D and C.PassPass

Damn it, both cases are passing the checklist. Time for some questions

Step 3: Proceed with questions

Q1. If one neighbor of A is D, who is the other one?

aptitude CSAT CMAT CAT IBPSaptitude CSAT CMAT CAT IBPS
Both cases are valid and in both cases A is sitting between D and E.
Therefore if one neighbor of A is D, then other is E. We get same neighbor “E” in both cases.

Ans. E is the other neighbor.

Q2. Who is sitting on the left hand side of A?

Both case are valid and in first case, D is sitting on the left hand side of A.
But second case, E is sitting on the left hand side of A.
So we are not getting ‘one’ definite answer. It can be either D or E. So final answer is
Ans. No conclusion. Cannot be determined. Data insufficient. D or E.

[Aptitude] Logical Arrangement : Circular / Round Table




So far 45 Comments posted

  1. Mrunal ♣ मृणाल ♣ મૃણાલ

    Your arrangement is not passing the checklist.
    Checklist Item #4 says F is in middle of D and C.
    In your arrangement (ADBCEF), F is in middle of E and A.

    1. RV

      If you think in circular way F is middle of C&D here and satisfying all checklists
      , Sir plz clarify why dont we go for this?

  2. ELIENE VIEIRA DE ARAÚJO

    N A VERADDE EU ESTAVA PESQUISANDO AS TABELAS DO RACIOCÍNIO PARA APRENDER DE UMA FORMA CONCISA COISA QUE NÃO TEM.

  3. Mridula

    Sir
    I have MK Pandey 2011 BSC publication.I don’t have seating arrangement as a separate chapter in it,the chapter-20 is Problem Solving! What to do for that!U have told to do it first from K Pandey Chapter-20 and then go to RS Aggarwal!

    Help!

  4. Ceral

    Sir, Only to solve to find answer is very easy, but is very tough to solve in a limited time.. SIr please tell me some short cut method to solve in just 30 seconds.

  5. Neha

    Dear Mrunal,

    Please help on double layer puzzels.
    Like sitting in circular way with professions and names.

    I need help on these as they are very popular with upcoming RBI exam

    1. deepali

      Mrunal sir,
      I am looking for practice questions for the sitting arrangement questions as said by neha ..kindly help

  6. Rakesh Kumar

    Dear Sir,
    Pls help me to solve the below circular arrangement question which had been asked in SBI(Associates)PO Exam-2011. I tried to solve several times but failed, pls help.

    Eight colleagues, A B C D E F G and H are sitting around a circular table facing the centre but not necessarily in same order. Each one holds a different post- Manager, Company secretary, Chairman, President, Vice President, Group Leader, Financial Advisor and Managing Director.
    A sits third to the right of managing Director. only two people sit between Managing director and H. The vice President and the company Secretary are immediate neighbours. Neither A nor H is a Vice Presidentor or a Company Secretary. The Vice President is not an immediate neighnour of the Managing Director. The Manager sits second to the left of E. E is not an immediate neighbour of H. The manager is an immediate neighbour of both the Group Leader and the financial Advisor. The Financial Advisor sits third to the right of B. B is not the Vice President. C sits on 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.

    1. Sai Abhishek

      A-PRESIDENT,B-CHAIRMAN,C-GROUP LEADER,D-FINANCIAL ADVISOR,E-MD, F- COMPANY SECRETARY,G- VICE PRESIDENT, H- MANAGER. STARTING FROM (D’s) lefthand direction (clockwise)it is
      “D-H-C-B-A-G-F-E”. drop me a personal mail for detailed explanation notes on how i’ve arrived based on given clues of the Question

        1. Sai Abhishek

          First of all i would like to wish you a very happy dusshera Mr. Balachander.

          please go through the link which leads to the word document where i have explained the process as of how i’ve arrived at the answer.
          It’s the best possible way i could explain the clues, their inferences regarding to the arrangement.

          “http://www.mediafire.com/view/26q2gbx8vsb8p67/Explanation_-_Seating_Arrangements.doc”

          please let me know that, did you understand the explanation ?? was my explanation has reached upto your expectation or not and was it in the convincing one or not??

          Your feedback is valuable to me …. please take time to comment after going through the word document

          1. deepika

            Hello sir, Thanks 4 ur pdf :) :)
            but i have a doubt- second statement says “only two people sit between Managing director and H” ..Does our final ans satisfy this condition?

      1. shiv

        condition no 2 is violating accordimg to your arrangment there are two person between managing director and H

  7. MAITREY SHARMA

    Mrunal sir have u posted any article on sitting on 2 parallely arranged tables each table facing the other

  8. vikas

    Dear Mr. Mrunal
    In chapter #6 Puzzle Tests of Modern Approach To Verbal & Non-Verbal Reasoning by R.S.Agarwal page no. 258 Question No. 31 , 32 , 33 , 34 are neither correctly explained nor are their answers correct…
    If possible please send me a detailed explanation….

    Also there are only 8 questions on circular arrangements in puzzles…..Can you send me few more questions of the same type and if possible with their explainable answers..

    It will be very kind of you if you can reply at the earliest as my exam is only 7 days ahead…

  9. kavya

    can you plz post more questions on logical arrangement in which some face inwards and some outwards.

  10. gayu

    How to find which is left direction and which is right direction in a circular sum? Is it gonna be clockwise/anticlockwise? Soooo confusing…

    1. Sai Abhishek

      Dear Gayu,

      Don’t go by clockwise/anti-clock wise directions as those perceptions are pretty much confusing with the context/statements of the problem and your sense of direction as you may perceive !!!!

      step 1 : Take a definite statement which gives sense or a rightful meaning to the pattern;;;; ex:: ‘P’ sits to the third right of ‘Q’.

      step 2 : Imagine yourself be one of the letters (p or q) sitting at the bottom of the arrangement.

      step 3 : Now, if you were sitting at the bottom of the circular arrangement then your left and right hands gives left and right as well as clock and anti clock wise directions which you may continue to follow till you arrive at a valid solution.

      You having a seat or Getting yourself in the pattern is the key to unlock the problem …

  11. Mr Brightside

    Solution to above question: A=PREZ, G=VP, B=C.S., C=M.D., E=CM, F=G.LEADER, H=MANAGER, D=F.ADVISOR CONSIDERING CLOCKWISE SITTING ARRANGEMENT BEGINNING WITH “A”.

  12. indu bala

    sir, is left direction is clock wise and right is anti clock wise when we are facing towards centre or towards inside and is true for all cases whether it is square or rectangular arrangement

  13. Nidhi jamidar

    hey ……….sr plz prvd m notes to solve doubled layer sitting arrngmnt …………….at my mail id

  14. vandana negi

    sir, would you please give me question based on sitting arrangement which comprises of eight friends sitting around a circular table in which four of them are looking outside and four inside. If you will do me a favour I will be very grateful to you.

    1. Sai Abhishek

      Dear Vandana Negi and hi all those who are part of this discussion thread ….

      here’s a question for you all to try …!!!!!

      Q) Eight persons A, B, C, D, E, F, G, H are sitting around a circular table. Not all of them are facing the center . some are facing the center and some are facing away from the center. it is known that , H is third to the right of A, who is third to the left of D. E is third to the right of C. F who is facing the center, is to the right of H. B is sitting to the left of H and right of D. C is to the left of F. C and G are facing the same direction, that is either both of them are facing the center or facing away from the center.

      P.S :: the problem has no mistakes i.e I’ve checked twice after typing it, also there are no omissions of sentences.
      this problem has a valid solution. if you are not able to solve the problem, it’s upto you to understand where you stand.
      will be posting the solution soon ………

      1. Varun Tiwari

        A
        C G A
        G E
        B E C B
        D H
        H D F
        F
        A, F, H, are facing center , C, G, D are facing away, E and B are either facing center and away

          1. Sai Abhishek

            The correct solution for the above problem is

            Facing the center :: F, A
            Away from the center:: C, D, G, H
            (facing)cannot be determined:: B, E

  15. Alekhya

    Can you please post seating arrangement questions in which some people sits facing the center and some people are away from the center and also tough puzzles. I have practiced a lot. Even though in po papers I can’t able to attempt in that particular time.

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