SBI PO type high level circular seating reasoning puzzle solved in confident steps 4

Linear table positions implicitly joined at the ends simulate circular seating

sbi-po-type-high-level-circular-seating-resoning-puzzle-solved-4-cover

This is the fourth session on solving a SBI PO type high level reasoning puzzle in a few easy and confident steps without confusion. Logic table adapted for round table and strategic selection of logic conditions for execution enable quick solution without confusion for this circular seating reasoning puzzle with a special characteristic.

The special characteristic is in half of the eight parsons facing out and the other half facing in. This makes determination of right or left complex and provides the chief interest in the problem.

For detailed concepts on the fundamental techniques and strategies in solving this type of logic puzzles you should refer to our tutorial sessions,

How to solve SBI PO level logic puzzles in a few simple steps 1

How to solve SBI PO level logic puzzles in a few simple steps 2

How to solve SBI PO level family relation problems in a few simple steps 3

How to solve SBI PO level floor stay Reasoning Puzzle in a few confident steps 4

How to solve high level circular seating reasoning puzzles for SBI PO in confident steps 5

How to solve high level hard two row seating reasoning puzzles for SBI PO in confident steps 6

Note: Before going through the solution of the problem, try to solve the problem in a suitably timed exercise session.


SBI PO type high level Circular Seating Reasoning Puzzle with two directional facing: Who is from which city, sits at which position and faces in or out?

Problem description

Eight friends, Tej, Vicky, Rup, Gaur, Rio, Anik, Sam and Pintu, are sitting around a circular table, not necessarily in the same order. Four of them are facing inside and the rest are facing outside. They belong to eight different cities, viz. Delhi, Pune, Bhopal, Patna, Kolkata, Kota, Chennai and Agra, but not necessarily in the same order.

Conditional statements

  1. Anik faces the Centre and sits third to the right of Rup.
  2. Gaur belongs to Kolkata and faces the person who belongs to Kota.
  3. Sam sits third to the right of Vicky, who stays in Bhopal.
  4. The persons who belong to Delhi and Pune are facing to the same direction (inside or outside).
  5. Rio is sitting between the person who belongs to Kolkata and the one from Agra respectively.
  6. Tej belongs to Pune and Rup belongs to Patna.
  7. The person who belongs to Chennai is facing outward and immediate neighbor of Agra.
  8. Pintu is immediate neighbor of the persons who belong to Pune and Chennai.
  9. Rio is immediate left of Gaur.

Questions

Question 1. Who sits fourth from right of Vicky?

  1. Anik
  2. Gaur
  3. Tej
  4. Sam
  5. Pintu

Question 2. Which is the city of the friend on the immediate left of Pintu?

  1. Bhopal
  2. Kolkata
  3. Pune
  4. Kota
  5. Delhi

Question 3. Which among the following is the odd man out?

  1. Tej-Bhopal
  2. Pintu-Patna
  3. Sam-Kota
  4. Rio-Agra
  5. Gaur-Delhi

Question 4. Which is the city of the friend who sits sixth on the left of Rup?

  1. Patna
  2. Kolkata
  3. Kota
  4. Delhi
  5. None of the above

Question 5. Who are the neighbors of Sam?

  1. Tej-Vicky
  2. Vicky-Pintu
  3. Sam-Anik
  4. Rup-Tej
  5. Pintu-Anik.

Note: Try to solve the problem yourself before going through the solution.

Solution to the SBI PO type high level Circular seating reasoning puzzle with two directional facing: Problem analysis and representation

Though the number of object sets is only 2, the friends, and the cities, because of friends facing in or out, the left or right positional determination is a bit complex.

We will use an eight position logic table with column labels from 1 to 8 representing the eight positions counted anti-clockwise. The adjacency of end positions 1 and 8 transforms the linear positions to a circular form. The following shows an eight position circular seating round table.

eight-position-round-table-seating

"Facing opposite" attribute is possible only when the pair of friends are facing towards the center (facing in). To aid the determination of opposite positions, the opposite positions assuming facing in direction are predetermined and noted under brackets with each position. This will be applicable only for friends facing towards the center.

We will thus use the following compact logic table with implicit assumptions that positions 1 and 8 are adjacent and increasing position numbers indicates towards right and decreasing position numbers towards left for friends facing in. The left-right directions are just the opposite for friends facing out.

To aid analysis, we have added a third row to note the facing in or out characteristic.

sbi-po-type-high-level-circular-seating-resoning-puzzle-solved-4-1

Solution Stage 1: Special characteristic of first assignment in a round table seating puzzle

Usually for other varieties of assignment type reasoning puzzles, at the very beginning we look for a statement that has maximum number of certain assignments to a specific position.

in a round table, all positions are relative to each other and at the beginning we can assign any secondary member to any position and carry on placing other members with respect to this starting reference point.

This is why at the start, instead of looking for a statement that makes maximum number of certain assignments to a specific primary object, it is much more fruitful to start with creating horizontally bonded member structures with maximum number of members and information.

Once we are able to create such a long bonded structure we can place it in any way onto the empty logic table simulating the round table. This freedom exists only at the starting time. All further assignments are made normally just as in other assignment problems, because the positions by now have been fixed by the first assignment.

Solution Stage 1: Strategy 1: Formation of bonded member structure using link search technique

Thus we start the solution process with the strategy of forming bonded structure between members with as many members horizontally bonded as possible.

While forming the horizontally bonded member structure we use invariably the reference mechanism of link search technique that links two members by a commonly referred element.

We choose first Statement 5. "Rio is sitting between the person who belongs to Kolkata and the one from Agra respectively.", because it creates the longest three member bond in one statement by placing Rio between Kolkata and Agra. At this point though we are not sure about which side (left or right with respect to the logic table positions) of Rio has Agra, or Kolkata.

Looking for reference of Kolkata or Agra, we find it next in Statement 2. "Gaur belongs to Kolkata and faces the person who belongs to Kota." which enriches the bonded structure by attaching Gaur with Kolkata and in the process opens up the possibility of linking through new value of Gaur.

We get such a Statement 9. "Rio is immediate left of Gaur." that fixes the position of Rio as to the left of Gaur while facing in towards the center. This is because of the mention that Gaur faces the person who belongs to Kota. Facing a opposite person is possible only if Gaur is facing the center of the table.

We place Gaur in position 8 for convenience. We can do this because in a round table all positions are equivalent at the start. In other words positions are relative to each other.

Observe that we have applied the strategy of forming bonded member structure using link search technique as well as the special characteristics in a round table seating.

The logic table after this stage is as below,

sbi-po-type-high-level-circular-seating-resoning-puzzle-solved-4-2.

Solution Stage 2: Strategy 2: Extending the bonded structure further by link references

With a fairly large number of assigned values now we look for reference to the values. In Statement 7. "The person who belongs to Chennai is facing outward and immediate neighbor of Agra." we get such a reference, but even now we are not sure whether Chennai will be on the right or left of Agra. A further reference of Chennai in Statement 8. "Pintu is immediate neighbor of the persons who belong to Pune and Chennai.", not only places Chennai with its facing out attribute on the left of Agra (and not in position 7), in addition it attaches Pintu to Kota and also fixes Pune in position 3.

This is rich result bearing logic analysis.

Check these steps yourself.

The logic table now looks like,

sbi-po-type-high-level-circular-seating-resoning-puzzle-solved-4-3

Solution Stage 3: Strategy 3: Enriching existing assignments and introducing a two degree uncertainty

At this point, we select a partially ceratin assignment Statement 6. "Tej belongs to Pune and Rup belongs to Patna." which assigns Tej to Pune at position 3, but introduces a two degree uncertainty of Rup-Patna pair of values. We could place the pair in both position 1 and 2 with a question mark to denote the uncertainty. We cannot consider Rup for positions 5 or 6 because of conflict in city values.

Solution Stage 3: Strategy 4: Resolving statements with certain number of positions right or left of already assigned values

Looking for reference to Rup as well as a member reference positionally separated from Rup, we select Statement 1. "Anik faces the Center and sits third to the right of Rup."

It says, Anik is facing in and he is 3rd on the right of Rup. If Rup were facing towards the center we find no place for Anik. So by negative logic, the conclusion is, Rup must be facing out.

Starting the search for a place for Anik now, we move to the left of the table looping to positions 8, 7, 6 and so on (opposite because of Rup facing out). With only Rup at position 1, we get a valid position for Anik at position 6 with Agra.

It is the only feasible 3rd position for Anik to the right of Rup who is facing out.

Check this step yourself. This is a good example of core logic processing for two directional facing round table seating puzzles.

Note: This advanced strategy should be applied preferably with the logic table fairly filled up, otherwise it might lead only to confusion.

Next by the same strategy of position reference, we take up Statement 3. "Sam sits third to the right of Vicky, who stays in Bhopal." as it refers to the last two persons for the two remaining vacant positions for persons.

Vicky cannot be in position 5 as his city Bhopal conflicts with Chennai. The only possibility then is Vicky to be in position 2 and facing in so that Sam gets the position 5 as the 3rd right from Vicky.

By exclusion, position 7 gets Delhi and as we already have four facing in's, Delhi and Pune automatically get facing out.

Statement 4. "The persons who belong to Delhi and Pune are facing to the same direction (inside or outside)." becomes superfluous and redundant.

Or is it so? Can we use it just for verifying a small part of our assignments?


Verification of final logic table

This produces a new idea of verification of the fully assigned logic table by the problem description and and logic conditions, especially when you are not under time pressure. This is a valuable practice and improves the confidence level immensely.

While verifying, move right from the first statement and sequentially down to the end.


The final logic table state is as below,

sbi-po-type-high-level-circular-seating-resoning-puzzle-solved-4-4-final

Now we are ready to answer the questions and it should take only about a minute's time to answer the five questions.

Answers to the questions

Question 1. Who sits fourth from right of Vicky?

Answer 1. Option 1: Anik.

Question 2. Which is the city of the friend on the immediate left of Pintu?

Answer 2. Option 3: Pune.

Question 3. Which among the following is the odd man out?

Answer 3. Option 2: Pintu-Patna. The other four are immediate neighbors.

Question 4. Which is the city of the friend who sits sixth on the left of Rup?

Answer 4. Option 4: Delhi.

Question 5. Who are the neighbors of Sam?

Answer 5. Option 5: Pintu-Anik.

Recommendation

You need to carefully go through these sessions for absorbing the concepts well, and more importantly you must solve a number of such problems of various types for solving such a problem or its variation in the actual test confidently.


Other resources for learning how to discover useful patterns and solve logic analysis problems

Einstein's puzzle or Einstein's riddle

The puzzle popularly known as Einstein's puzzle or Einstein's riddle is a six object set assignment logic analysis problem. Going through the problem and its efficient solution using collapsed column logic analysis technique in the session Method based solution of Einstein's logic analysis puzzle whose fish should be a good learning experience.

Playing Sudoku

As a powerful method of enhancing useful pattern identification and logic analysis skill, play Sudoku in a controlled manner. But beware, this great learning game, popularly called Rubik's Cube of 21st Century, is addictive.

To learn how to play Sudoku, you may refer to our Sudoku pages starting from the very beginning and proceeding to hard level games.


You may refer to the following reading list on SBI PO level Reasoning puzzles of various types.

Reading list on SBI PO and Other Bank PO level Reasoning puzzles

Tutorials

How to solve SBI PO level logic puzzles in a few simple steps 1

How to solve SBI PO level logic puzzles in a few simple steps 2

How to solve SBI PO level family relation problems in a few simple steps 3

How to solve SBI PO level floor stay Reasoning Puzzle in a few confident steps 4

How to solve high level circular seating reasoning puzzles for SBI PO in confident steps 5

How to solve high level hard two row seating reasoning puzzles for SBI PO in confident steps 6

How to solve high level circular seating arrangement reasoning puzzles for SBI PO quickly 7

How to solve high level nine position circular seating easoning puzzles for SBI PO quickly 8

How to solve high level box positioning reasoning puzzle for SBI PO quickly 9

Solved reasoning puzzles SBI PO type

SBI PO type high level floor stay reasoning puzzle solved in a few confident steps 1

SBI PO type high level reasoning puzzle solved in a few confident steps 2

SBI PO type high level reasoning puzzle solved in a few confident steps 3

SBI PO type high level circular seating reasoning puzzle solved in confident steps 4

SBI PO type high level hard reasoning puzzle solved in confident steps 5

SBI PO type high level one to many valued group based reasoning puzzle solved in confident steps 6

SBI PO type high level hard two in one circular seating reasoning puzzle solved in confident steps 7

SBI PO type hard facing away circular seating reasoning puzzle solved in confident steps 8

SBI PO type high level four dimensional reasoning puzzle solved in confident steps 9

SBI PO type hard two row seating reasoning puzzle solved in confident steps 10

SBI PO type high level floor stay reasoning puzzle solved in confident steps 11

Solved reasoning puzzles Bank PO type

Bank PO type two row hybrid reasoning puzzle solved in confident steps 1

Bank PO type four variable basic assignment reasoning puzzle solved in a few steps 2

Bank PO type basic floor based reasoning puzzle solved in a few steps 3